VD 2014-03

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2014-11-18
18:48
Hyphenation check-in: b5d1401a6a user: bernd tags: trunk
18:38
Bastelartikel check-in: 17a20ce798 user: bernd tags: trunk
2014-11-16
20:00
Lyx 2.0.x-Format check-in: 33867f5e23 user: bernd tags: trunk
2014-10-21
21:44
Goertzel compiliert check-in: 495e7e5f28 user: bernd tags: trunk
21:18
deliano aufgeräumt; goertzel.lyx nach 2014-03 verlegt. check-in: 6c27f409d3 user: mk tags: trunk
19:07
EDITED 4d2014-03.pd goertzel-bilder haben nicht geklappt - warum? check-in: e730d9cde1 user: mk tags: trunk

Changes to 2014-03/4d2014-03.ltx.

    13     13   %% "ubersetzt.
    14     14   %%
    15     15   %%-----------------------------------------------------------------------------
    16     16   %%
    17     17   %% Die folgende Zeile ist f"ur LaTeX n"otig.
    18     18   \documentclass[10pt,full,06]{vd}
    19     19   
           20  +\usepackage[T1]{fontenc}
    20     21   \usepackage{geometry}
    21     22   \geometry{verbose,a4paper,tmargin=22mm,bmargin=20mm,
    22     23   lmargin=11mm,rmargin=22mm,headheight=12mm,headsep=07mm,footskip=1cm}
    23     24   
    24     25   \pdfoptionpdfminorversion=3
    25     26   %%
    26     27   %% Packete/Style-Optionen und anderes Material in der Pr"aambel:
................................................................................
    42     43   \newcommand{\email}[1]{\randomize{#1}}
    43     44   \usepackage{breakurl}
    44     45   \usepackage{listings}
    45     46   \usepackage{xspace}
    46     47   \usepackage{longtable}
    47     48   \usepackage{textcomp}
    48     49   \usepackage{amstext}
           50  +\usepackage{background} % <-- Draft, solange das Heft nicht fertig ist!
    49     51   \usepackage{tikz}
    50     52   \usetikzlibrary{shadows}
    51     53   \newenvironment{myshadowbox}{\begin{tikzpicture}
    52     54   \node[fill=white!50, copy shadow={fill=black, opacity=0.75, draw=gray, line width=.7mm, shadow xshift=.8mm, shadow yshift=-.8mm}, rounded corners=2pt, draw, line width=0.75pt]\bgroup}{\egroup;\end{tikzpicture}}
    53     55   \newenvironment{myshadowbox2}{\begin{tikzpicture}
    54     56   \node[fill=white!50, copy shadow={fill=black, opacity=0.75, draw=gray, line width=.7mm, shadow xshift=.8mm, shadow yshift=-.8mm}, rounded corners=2pt, inner sep=-0.375pt, draw, line width=0.75pt]\bgroup}{\egroup;\end{tikzpicture}}
    55     57   \newenvironment{myframebox}{\begin{tikzpicture}
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   103    105   \hbox to \textwidth{\hss
   104    106   \begin{minipage}[t]{11cm}
   105    107   \raggedright\large\sf\bfseries\itshape
   106    108     für Wissenschaft und Technik, für kommerzielle EDV, \\
   107    109     für MSR-Technik, für den interessierten Hobbyisten
   108    110   \end{minipage}\quad}
   109    111   \vfill
   110         -\hbox to \textwidth{%
   111         -%\smash{\rlap{\lower16cm\vbox{\hbox to 0.5\hsize{\hfil\raisebox{90mm}{\includegraphics[width=0.4\hsize,clip]{2014-03/Aufmacher}}\hfil}}}}%
          112  +\hbox to \textwidth{\hfil\hspace*{0.3mm}\includegraphics[width=1.003\hsize]{2014-03/philae-landed.jpg}\hfil}
          113  +\vspace*{-0.5mm}
          114  +\hbox to \textwidth{\hss%
   112    115   \hfil\begin{myframebox}
   113         -\hbox{\vrule height8mm depth200mm width0pt}%
   114         -\rlap{\hbox to 8cm{\smash{\raise6mm\hbox{%
          116  +\hbox{\vrule height8mm depth\titletocheight width0pt}%
          117  +\rlap{\hbox to \titletocwidth{\smash{\raise6mm\hbox{%
   115    118           \begin{myshadowbox}\Large\bf In dieser Ausgabe:\end{myshadowbox}}}%
   116    119       \hss\smash{\raise2mm\hbox{\includegraphics{drache\DTKedition l}}}}}%
   117         -\begin{minipage}[t]{8cm}
          120  +\begin{minipage}[t]{\titletocwidth}
   118    121   \baselineskip 1cm
   119    122   \vspace*{5mm}
          123  +\begin{multicols}{2}
   120    124   \titlecontents
          125  +\end{multicols}
   121    126   \end{minipage}
   122    127   \end{myframebox}\quad}
   123    128   \end{titlepage}
   124    129   
   125    130   \advance\topmargin -4mm
   126    131   \advance\headheight 4mm
   127    132   \advance\oddsidemargin -5.5mm
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   164    169   \newpage\advance\hsize 5.5cm\advance\evensidemargin -5.5cm
   165    170   %% ----- End Editoral page -------
   166    171   
   167    172   \input{2014-03/Leserbriefe}
   168    173   \input{2014-03/ting-stm32-eforth}
   169    174   \input{2014-03/recognizer2-de}
   170    175   \input{2014-03/goertzel}
          176  +\input{2014-03/taster}
          177  +\input{2014-03/forth-2012}
          178  +\input{2014-03/LPC-Bastelartikel}
   171    179   
   172    180   \input{ansprechpartner}
   173    181   \advance\evensidemargin -5.5mm
   174    182   \thispagestyle{backcover}
   175    183   %\newpage  \vspace*{\fill}\centerline{This page intentionally left blank}\vfill
   176    184   \input{2014-03/backcover}
   177    185   \end{journal}%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   178    186   %
   179    187   % Local Variables: 
   180    188   % mode: latex
   181    189   % TeX-master: nil
   182    190   % End: 

Added 2014-03/LPC-Bastelartikel.tex.

            1  +\begin{document}
            2  +
            3  +\title{ARM Cortex und die Steckplatine}
            4  +\author{Matthias Koch}
            5  +\maketitle
            6  +
            7  +\begin{abstract}
            8  +Wer schon immer einmal zum Kennenlernen mit einem kleinen ARM Cortex
            9  +auf Lochraster oder Steckplatine basteln wollte, für den sei dieser
           10  +Artikel gedacht - der auch eine "Vorspeise" zum großen ARM-Cortex
           11  +Sonderheft darstellt, welches um Weihnachten erscheinen wird.
           12  +\end{abstract}
           13  +
           14  +\begin{multicols}{2}
           15  +
           16  +\section{Ganz zu Beginn: Keine Angst!}
           17  +
           18  +Steckplatine und Drähte sind bestimmt vorhanden. Die restliche
           19  +Zutatenliste ist kurz:
           20  +
           21  +1 LPC1114FN28 mit achtundzwanzig lochrasterfreundlichen Beinchen (gibt's bei \url{http://www.watterott.com/})\\
           22  +1 Kondensator 100\,nF\\
           23  +2 Taster (Schließer)\\
           24  +1 USB-Seriell-Adapterkabel mit 3,3\,V Pegeln plus\\
           25  +1 sechspolige Stiftleiste, um es anzuschließen.
           26  +
           27  +Und zur Stromversorgung etwas zwischen ~3,0 V und 3,6 V. Wenn das
           28  +USB-Seriell-Kabel wie jenes von FTDI eine 5V-Versorgungsspannung
           29  +anbietet genügen:
           30  +
           31  +2 Si-Dioden, z.B. 1N4148\\
           32  +1 Leuchtdiode, gerne grün\\
           33  +1 Widerstand 100 Ohm
           34  +
           35  +Sowie für die hier beschriebenen Experimente noch
           36  +
           37  +1 RGB-Leuchtdiode mit gemeinsamer Kathode.
           38  +
           39  +All dies wird so zusammengebaut:
           40  +
           41  +(Schaltplan - muss noch hübsch gezeichnet werden)
           42  +
           43  +Die beiden Dioden sorgen für je 0.7V Spannungsabfall und so bleiben
           44  +von den 5 V aus dem USB-Anschluss 3,6 V übrig. Die Leuchtdiode und ihr
           45  +Vorwiderstand sind wirklich wichtig, weil sonst die Spannung ohne Last
           46  +langsam ansteigen könnte. Wer mag und hat, kann natürlich stattdessen
           47  +einen Spannungsregler verwenden. Wenn während des Loslassens des
           48  +Reset-Tasters der Bootloader-Taster gedrückt ist, springt der Chip in
           49  +den Bootloader-Modus und erwartet unsere Wünsche. Jetzt kann bereits
           50  +Mecrisp-Stellaris geflasht werden. Dafür gibt es unter Linux LPC21ISP
           51  +(\url{http://sourceforge.net/projects/lpc21isp/}) welches so aufgerufen
           52  +wird: {\tt lpc21isp mecrisp-stellaris-lpc1114fn28.hex /dev/ttyUSB0 9600
           53  +12000} Wer Windows benutzt, wird mit Flash Magic
           54  +(\url{http://www.flashmagictool.com/}) fündig. Anschließend ist ein Terminal
           55  +mit 115200 Baud 8N1 zu öffnen und Mecrisp-Stellaris begrüßt uns nach
           56  +einem weiteren Druck des Reset-Tasters.
           57  +
           58  +\section{Auf Entdeckungsreise}
           59  +
           60  +Ein Teil soll noch zur Zutatenliste hinzugefügt werden: Eine RGB-LED
           61  +mit gemeinsamer Kathode, die einfach so neben den Chip in die
           62  +Steckplatine eingefügt wird, dass die Anode für Rot an P1.0, die
           63  +gemeinsame Kathode an P1.1, Grün an P1.2 und Blau an P1.3
           64  +angeschlossen ist. Wer mag, kann natürlich auch andere Leuchtdioden je
           65  +nach Wunsch wählen. Vorwiderstände sind nicht nötig, da die Pins des
           66  +Microcontrollers jeweils 4 mA liefern - mit Ausnahme von P0.7, wo 20
           67  +mA fließen. Beide Taster können nach Programmstart umkonfiguriert
           68  +werden. Während der Bootloader-Taster nach seiner Abfrage beim Start
           69  +frei ist, ist es für die ersten Experimente jedoch empfehlenswert, den
           70  +Reset-Taster in seiner Funktion beizubehalten.
           71  +
           72  +Jetzt geht es an die Vorbereitung der Leitungen - dafür sind die
           73  +IOCON-Register zuständig, die für jeden Pin festlegen, welche Funktion
           74  +er erfüllen soll. Ein Blick ins Datenblatt für die Pinbelegung und ins
           75  +Referenzhandbuch, das "User manual", Kapitel 8, ist an dieser Stelle
           76  +sehr nützlich, weil es für unterschiedliche Pins viele Varianten
           77  +gibt. Doch für jene Leser, die gleich loslegen wollen, seien hier die
           78  +passenden Werte für die ersten Experimente fertig herausgesucht:
           79  +
           80  +\begin{verbatim}
           81  +$D0 $40044010 ! ( P0.1 als digitalen IO-Pin mit )
           82  +( internem Pullup für den Taster konfigurieren )
           83  +
           84  +$C1 $40044078 ! ( P1.0 als digitalen IO-Pin ohne )
           85  +( Sonderfunktionen konfigurieren ) 
           86  +$C1 $4004407C ! ( P1.1 ... )
           87  +$C1 $40044080 ! ( P1.2 ... )
           88  +$C1 $40044090 ! ( P1.3 ... )
           89  +\end{verbatim}
           90  +
           91  +Jetzt müssen noch die Leuchtdioden-Pins als Ausgänge geschaltet
           92  +werden, was im Referenzhandbuch in Kapitel 12 beschrieben wird. Da
           93  +diese Register oft verwendet werden, geben wir ihnen hier der
           94  +Bequemlichkeit halber Namen:
           95  +
           96  +\begin{verbatim}
           97  +$50003FFC constant P0DATA
           98  +$50008000 constant P0DIR
           99  +
          100  +$50013FFC constant P1DATA
          101  +$50018000 constant P1DIR
          102  +\end{verbatim}
          103  +
          104  +Der Taster soll Eingang sein, was mit 0 P0DIR ! erreicht werden kann
          105  +und wir machen die Leuchtdiodenanschlüsse alle auf einmal
          106  +mit \verb|%1111 P1DIR !| zu Ausgängen. Anschließend können die
          107  +einzelnen Farben in P1DATA zum Leuchten gebracht werden: 
          108  +\verb|%0001 P1DATA !| ergibt Rot, \verb|%0100| lässt Grün aufleuchten
          109  +und \verb|%1000| lässt blaues Licht scheinen.
          110  +
          111  +Um den Taster zu lesen, ist eine kleine Definition nützlich : taster? ( -- ? ) 2 P0DATA bit@ ; mit der sogleich ein Farbwechsel programmiert werden kann
          112  +
          113  +\begin{verbatim}
          114  +: rotgrün ( -- ) begin taster?
          115  +    if %0001 P1DATA ! else %0100 P1DATA ! then
          116  +  key? until ;
          117  +\end{verbatim}
          118  +
          119  +\section{Ein kleiner Trick}
          120  +
          121  +Aufmerksame Leser des Ledcomm-Artikels (VD 2/2013) wissen bereits,
          122  +dass sich Leuchtdioden auch als Photodioden nützlich sind und sich so
          123  +für die Kommunikation nutzen lassen. Diesmal jedoch soll es einfacher
          124  +zugehen und wir verwenden die RGB-Led als drei kleine farbempfindliche
          125  +Solarzellen, die mit dem Analog-Digital-Wandler ausgelesen werden
          126  +sollen.
          127  +
          128  +Für den Analog-Digital-Wandler, der in Kapitel 25 des
          129  +Referenzhandbuches beschrieben ist, müssen wir zunächst einmal den
          130  +Strom einschalten und den Takt aktivieren, was für die GPIOs und die
          131  +serielle Schnittstelle ja schon beim Start von Mecrisp-Stellaris
          132  +erledigt wird. Anschließend bekommt die Kathode einen Low-Ausgang und
          133  +alle Anoden werden zu analogen Eingängen. In einer Schleife können nun
          134  +die Spannungen an den Anoden nacheinander gemessen und ausgegeben
          135  +werden.
          136  +
          137  +\begin{verbatim}
          138  +$40048080 constant SYSAHBCLKCTRL
          139  +  \ Clock control register
          140  +$40048238 constant PDRUNCFG
          141  +  \ Power-down configuration register
          142  +
          143  +$40044078 constant IOCON_PIO1_0
          144  +$4004407C constant IOCON_PIO1_1
          145  +$40044080 constant IOCON_PIO1_2
          146  +$40044090 constant IOCON_PIO1_3
          147  +
          148  +$50013FFC constant P1DATA
          149  +$50018000 constant P1DIR
          150  +
          151  +$4001C000 constant AD0CR
          152  +  \  AD-Wandler Control Register
          153  +$4001C004 constant AD0GDR
          154  +  \            Global Data Register
          155  +
          156  +
          157  +: farbsensor-init ( -- )
          158  +        \ Vorbereitungen für den Farbsensor
          159  +  1 13 lshift SYSAHBCLKCTRL bis!
          160  +        \ Takt für AD-Wandler einschalten
          161  +  1  4 lshift PDRUNCFG bic!
          162  +        \ Stromaus-Bit des AD-Wandlers löschen
          163  +
          164  +  $C1 IOCON_PIO1_1 !
          165  +        \ P1.1 sei digitaler IO-Pin
          166  +        \ ohne Sonderfunktionen,
          167  +  2 P1DIR !      \     Ausgang
          168  +  0 P1DATA !     \            low
          169  +
          170  +  $42 IOCON_PIO1_0 ! \ P1.0 sei analoger Eingang
          171  +  $42 IOCON_PIO1_2 ! \ P1.2 ...
          172  +  $42 IOCON_PIO1_3 ! \ P1.3 ...
          173  +;
          174  +
          175  +: analog ( Kanal -- Messwert )
          176  +\ Einen analogen Eingang wandeln
          177  +  1 swap lshift \ Kanal wählen
          178  +  4  8 lshift or
          179  +  \ CLKDIV = 4 --> 12 Mhz / 4
          180  +  \        = 3 MHz < 4.5 MHz Maximum.
          181  +  1 24 lshift or  \ Messung starten
          182  +  AD0CR !
          183  +
          184  +  begin 1 31 lshift AD0GDR bit@ until
          185  +      \ Auf das Wandlungsende warten
          186  +  AD0GDR @ 6 rshift $3FF and
          187  +      \ Messergebnis passend schieben
          188  +;
          189  +
          190  +: farbsensor ( -- )
          191  +  farbsensor-init
          192  +  begin
          193  +    1 analog ." Rot: " u.
          194  +    3 analog ." Grün: " u.
          195  +    4 analog ." Blau: " u.
          196  +    cr
          197  +  key? until
          198  +;
          199  +\end{verbatim}
          200  +
          201  +Die gemessenen Werte sind relativ zur Versorgungsspannung, die in
          202  +diesem Beispiel 3,6\,V beträgt und lassen sich leicht umrechnen:
          203  +$Spannung = Messwert * 3,6\,V / 1024$. Die Umrechnung der Verhältnisse
          204  +der Messwerte untereinander in Farben muss für die verwendete
          205  +RGB-Leuchtdiode experimentell ermittelt werden. Der Gedanke dabei ist,
          206  +dass eine Leuchtdiode für ihre eigene abgestrahlte Farbe am
          207  +empfindlichsten ist und sich manchmal auch von "blauerem" Licht, also
          208  +mit größerer Photonenenergie, anregen lässt, jedoch nicht von
          209  +"roterem" Licht, also mit geringerer Photonenenergie. Das heißt, dass
          210  +rotes Licht nur die rote LED anregt, grünes Licht die grüne LED und
          211  +ein bisschen auch die rote LED, während blaues Licht alle drei
          212  +Leuchtdioden anregen kann.
          213  +
          214  +\end{multicols}
          215  +
          216  +\section{Listings}
          217  +
          218  +{\tt vd-analog.txt}:
          219  +{\small\listinginput[1]{1}{2014-03/vd-analog.fs}}
          220  +{\tt vd-digital.txt}:
          221  +{\small\listinginput[1]{1}{2014-03/vd-digital.fs}}
          222  +
          223  +\end{document}

Changes to 2014-03/Leserbriefe.tex.

     5      5   \part{Leserbriefe und Meldungen}
     6      6   % \chaptermark{Leserbriefe und Meldungen}
     7      7   \vspace*{-11mm}
     8      8   \label{Leserbriefe1}
     9      9   \begin{multicols}{2}
    10     10   \input{2014-03/Meldung}\bigskip
    11     11   \input{2014-03/LPC1114FN28-Meldung}\bigskip
           12  +\input{2014-03/forth-im-all}\bigskip
    12     13   
    13     14   %\input{2011-01/}\bigskip
    14     15   
    15     16   %\vfill
    16     17   %\hfill Fortsetzung Leserbriefe auf Seite \pageref{Leserbriefe2}
    17     18   %\label{Leserbriefe1Ende}
    18     19   %\hfill Fortsetzung auf Seite \pageref{Leserbriefe2}

Changes to 2014-03/Meldung.tex.

    72     72   Dezimalzahlen sind nicht "`richtiger"' als Binärzahlen, es wird nur in
    73     73   bestimmten Fällen anders gerundet. Gerundet werden muss immer, die
    74     74   Ergebnisse von Fließkommarechnungen sind immer Näherungen. Relevant
    75     75   ist das mit dem Runden nur dann, wenn es vom Gesetzgeber
    76     76   vorgeschrieben ist --- und das ist bei der Buchhaltung eben der Fall.
    77     77   
    78     78   \hfill \textit{Bernd Paysan}
           79  +
           80  +\begin{figure}
           81  +\begin{center}
           82  +\includegraphics[width=0.8\textwidth]{2014-03/haiku-pacman.eps}
           83  +\end{center}
           84  +\end{figure}
           85  +
           86  +\begin{CJK}{UTF8}{bkai}
           87  +\section{Haiku --- 俳句}
           88  +\end{CJK}
           89  +Ein rechter Haijin versucht es in jeder Sprache. Also auch in Forth. Auf BradN's wiederbelebtem blog wird man fündig.
           90  +
           91  +\begin{quote}
           92  +A Forth Haiku is an attempt to mix mathematics, art, and the Forth
           93  +programming language. It resembles a texture shader, however, the
           94  +emphasis is on direct expression in the resulting image.
           95  +\end{quote}
           96  +
           97  +Wie das geht? Im Browser läuft eine Forth-Maschine in Java-Skript und berechnet für jedes Pixel eines kleinen Quadrates das Forth Haiku. Dieses Forth im Browser kennt nur wenige Worte, mit denen man dann neue Forthworte machen und diese dann ausführen kann. Das gibt dann z.B. so etwas wie den PACKMAN. Und wenn der Browser das Skript gar nicht kann, so wie mein altes Firefox unter OSX, dann sieht man gar nix. Selbst Chrome unter Win7 zeigte nur die Bilder, nicht die Animation. Carstens Firefox unter Linux aber konnte es - danke für die gute Unterhaltung damit.  mk
           98  +
           99  +Link: \url{http://forthsalon.appspot.com/}
          100  +
          101  +\begin{verbatim}
          102  +Core words (Glossary):
          103  +x y t push pop dup over 2dup drop swap rot 
          104  +-rot = <> < > <= >= and or not min max + - 
          105  +* / mod pow atan2 negate sin cos tan log 
          106  +exp sqrt floor ceil abs pi z+ z* random :
          107  +
          108  +PACKMAN
          109  +: d dup ;
          110  +: m 1 min ;
          111  +: f d floor - ;
          112  +: c cos abs ;
          113  +: j t 4 + 2 * x 8 * floor 8 / + 4 * 
          114  +  c 2 / t 4 + 2 / c 4 ** * - ;
          115  +: a 1 x x 8 * floor 0.5 + 8 / - d * y ;
          116  +: b - d * + sqrt 50 * 8 ** ;
          117  +: p x t 4 + pi / f 1.6 * - 0.2 + ;
          118  +: v t 4 + pi 2 * / f ;
          119  +a j 0.5 b -
          120  +v d 0.5 < * 4 * m *
          121  +1 p d * y 0.5 - d * + 36 * 30 ** m -
          122  +y 0.5 - p atan2 abs t 10 * c 0.8 * - 16 * m * 0 max
          123  +a 0.5 b - 0 max d p 16 * < * +
          124  +p d * y 0.58 b m *
          125  +v 0.5 >= *
          126  ++ d 0.2 
          127  +
          128  +\end{verbatim}
          129  +
          130  +\section{Zen of LaunchPad - 430eForth}
          131  +
          132  +(Auszugsweise; Vollständige Fassung in der Redaktion erhältlich. 14.10.2014.)
          133  +\begin{quote}
          134  +430eforth is case sensitive.
          135  +It does not have DO-LOOP.  It uses FOR-NEXT.
          136  +It is not ANSI standard, but it is ANSI compatible. 
          137  +It is a direct descendant of figForth, in spirit and in implementation.
          138  +
          139  +... I went through the whole 430eForth system to optimize it.  I first deleted all the commands I had never used, and the number of commands was reduced from 224 to 180.  I then re-coded as many high level commands to machine instruction primitive commands, and the number of primitive commands was increased from 31 to 62.  I also removed the headers of all the commands which are only used in building the Forth interpreter and compiler.  These commands are never used in application programming, and are better hidden from the user.  Only 145 commands are exposed to the user.  I used the 17 Forth lessons to exercise the system, to make sure that the new eForth system can compile all the lessons correctly.  The lessons use 60 commands, which I suppose are the most commonly used Forth commands.  The new 430eForth system occupies 5592 bytes of flash memory in MSP430G2553.  I believe this is the smallest Forth system capable of developing substantial applications on the MSP430G2 LaunchPad kit. ...
          140  +
          141  +The new 430eforth v3.1 is released in two forms: a full system with assembly source code 430eforth\_8.asm to be assembled and tested with Code Composer Studio, available on www.offete.com for \$25; and a free system with 430eforth\_8.a43 object code with 430eforth--IDE.  The free system can also be downloaded from www.offete.com.  Both systems are in the public domain and you can use them freely to develop private or commercial applications. 
          142  +\end{quote}
          143  +\hfill \textit{Chen-Hanson Ting}
          144  +
          145  +Link: \url{http://www.offete.com/}
          146  +
          147  +
          148  +
          149  +
          150  +
          151  +

Added 2014-03/deliano-goertzel/Bild10.eps.

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            2  +%%Creator: GIMP PostScript file plugin V 1,17 by Peter Kirchgessner
            3  +%%Title: Bild10.eps
            4  +%%CreationDate: Sat Oct 25 10:33:57 2014
            5  +%%DocumentData: Clean7Bit
            6  +%%LanguageLevel: 2
            7  +%%Pages: 1
            8  +%%BoundingBox: 14 14 267 385
            9  +%%EndComments
           10  +%%BeginProlog
           11  +% Use own dictionary to avoid conflicts
           12  +10 dict begin
           13  +%%EndProlog
           14  +%%Page: 1 1
           15  +% Translate for offset
           16  +14.173228346456694 14.173228346456694 translate
           17  +% Translate to begin of first scanline
           18  +0 370.80000000000001 translate
           19  +252 -370.80000000000001 scale
           20  +% Image geometry
           21  +350 515 8
           22  +% Transformation matrix
           23  +[ 350 0 0 515 0 0 ]
           24  +% Strings to hold RGB-samples per scanline
           25  +/rstr 350 string def
           26  +/gstr 350 string def
           27  +/bstr 350 string def
           28  +{currentfile /ASCII85Decode filter /RunLengthDecode filter rstr readstring pop}
           29  +{currentfile /ASCII85Decode filter /RunLengthDecode filter gstr readstring pop}
           30  +{currentfile /ASCII85Decode filter /RunLengthDecode filter bstr readstring pop}
           31  +true 3
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         1444  +g])s-g]%6R])Ma1[/YX~>
         1445  +g].-NdJj1HpAY*mUAk2nJcG*:J,~>
         1446  +g])s-g]%6R])Ma1[/YX~>
         1447  +f`(pOci3tFp](6nUAk2n])Ma1[/YX~>
         1448  +f`(pOci3tFpAY*mUAk2nJcG*:J,~>
         1449  +f`(pOci3tFp](6nUAk2n])Ma1[/YX~>
         1450  +f`(pOci3tFp](6nUAk2n])Ma1[/YX~>
         1451  +f`(pOci3tFpAY*mUAk2nJcG*:J,~>
         1452  +f`(pOci3tFp](6nUAk2n])Ma1[/YX~>
         1453  +f`(pOci3tFp](6nUAk2n])Ma1[/YX~>
         1454  +f`(pOci3tFpAY*mUAk2nJcG*:J,~>
         1455  +f`(pOci3tFp](6nUAk2n])Ma1[/YX~>
         1456  +f`(pOci3tFp]'sfWrE&!])Ma1[/YX~>
         1457  +f`(pOci3tFpAamfWrE&!JcG*:J,~>
         1458  +f`(pOci3tFp]'sfWrE&!])Ma1[/YX~>
         1459  +f`(pOci3tFp\t3nq>UEpWrE&!])Ma1[/YX~>
         1460  +f`(pOci3tFmf*7eWrE&!JcG*:J,~>
         1461  +f`(pOci3tFp\t3nq>UEpWrE&!])Ma1[/YX~>
         1462  +f`(pOci3tFp\t3nq>^9kYl=\'])Ma1[/YX~>
         1463  +f`(pOci3tFmf3+`Yl=\'JcG*:J,~>
         1464  +f`(pOci3tFp\t3nq>^9kYl=\'])Ma1[/YX~>
         1465  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1466  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1467  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1468  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1469  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1470  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1471  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1472  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1473  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1474  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1475  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1476  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1477  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1478  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1479  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1480  +g])s-g]%6R])Ma1[/YX~>
         1481  +g].-NdJj1Hkl1V_Yl=\'JcG*:J,~>
         1482  +g])s-g]%6R])Ma1[/YX~>
         1483  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1484  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1485  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1486  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1487  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1488  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1489  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1490  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1491  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1492  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1493  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1494  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1495  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1496  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1497  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1498  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1499  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1500  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1501  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1502  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1503  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1504  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1505  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1506  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1507  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1508  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1509  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1510  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1511  +f`(pOci3tFkl1V_Yl=\'JcG*:J,~>
         1512  +f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~>
         1513  +f`(pOci3tFp\t3noD\djr;ZTn]`.s3])Ma1[/YX~>
         1514  +f`(pOci3tFkl1V_r;ZTn]`.s3JcG*:J,~>
         1515  +f`(pOci3tFp\t3noD\djr;ZTn]`.s3])Ma1[/YX~>
         1516  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~>
         1517  +f`(pOci3tFkl1V_r;Q`sr;Q`s]`.s3JcG*:J,~>
         1518  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~>
         1519  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~>
         1520  +f`(pOci3tFkl1V_r;Q`sr;Q`s]`.s3JcG*:J,~>
         1521  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~>
         1522  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~>
         1523  +f`(pOci3tFkl1V_r;Q`sr;Q`s]`.s3JcG*:J,~>
         1524  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~>
         1525  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W,i9qu6Wr[/YX~>
         1526  +f`(pOci3tFkl1V_r;Q`sr;Q`s]`.s3`W,i9XoEn~>
         1527  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W,i9qu6Wr[/YX~>
         1528  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruqu6Wr[/YX~>
         1529  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruXoEn~>
         1530  +f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruqu6Wr[/YX~>
         1531  +jo>>\rVultr;Q`sci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruqu6Wr[/YX~>
         1532  +jo>>\rVultr;Q`sci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruqu6Wr[/YX~>
         1533  +jo>>\rVultr;Q`sci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruqu6Wr[/YX~>
         1534  +jSo2[rr3'#s8N)trr<&Frr<&nrr<&jrr<&srr<&srr<&3rr<&<rr<&urr<&rrr<&+s*t~>
         1535  +jSo2[rr3'#s8N)trr<&Frr<&nrr<&jrr<&srr<&srr<&3rr<&<rr<&urr<&rrr<&+s*t~>
         1536  +jSo2[rr3'#s8N)trr<&Frr<&nrr<&jrr<&srr<&srr<&3rr<&<rr<&urr<&rrr<&+s*t~>
         1537  +jSo2[rr3'#s8N)trr<&;rr<%mrr<&<rr<&urr<&rrr<&+s*t~>
         1538  +jSo2[rr3'#s8N)trr<&;rr<%mrr<&<rr<&urr<&rrr<&+s*t~>
         1539  +jSo2[rr3'#s8N)trr<&;rr<%mrr<&<rr<&urr<&rrr<&+s*t~>
         1540  +jSo2[rr3*$s8N*!K`Km-!!'V1!!'D+J,~>
         1541  +jSo2[rr3*$s8N*!K`Km-!!'V1!!'D+J,~>
         1542  +jSo2[rr3*$s8N*!K`Km-!!'V1!!'D+J,~>
         1543  +jSo2[rr3'#s8N)trr<&;rr<%qs+(1B!;-;A~>
         1544  +jSo2[rr3'#s8N)trr<&;rr<%qs+(1B!;-;A~>
         1545  +jSo2[rr3'#s8N)trr<&;rr<%qs+(1B!;-;A~>
         1546  +jSo2[rr3'#s8N)trr<&;rr<%mrr<&1rr<&+s*t~>
         1547  +jSo2[rr3'#s8N)trr<&;rr<%mrr<&1rr<&+s*t~>
         1548  +jSo2[rr3'#s8N)trr<&;rr<%mrr<&1rr<&+s*t~>
         1549  +jo>;[rr;uuJcFR+!!'V1!!'D+J,~>
         1550  +jo>;[rr;uuJcFR+!!'V1!!'D+J,~>
         1551  +jo>;[rr;uuJcFR+!!'V1!!'D+J,~>
         1552  +JcC<$U]5i~>
         1553  +JcC<$U]5i~>
         1554  +JcC<$U]5i~>
         1555  +JcC<$U]5i~>
         1556  +JcC<$U]5i~>
         1557  +JcC<$U]5i~>
         1558  +JcF0urr@WMeGk%~>
         1559  +JcF0urr@WMeGk%~>
         1560  +JcF0urr@WMeGk%~>
         1561  +f`1sO`rH&=r;Zcs_Z'T9rVlitJcF@%J,~>
         1562  +f`1sO`rH&=r;Zcs_Z'T9rVlitJcF@%J,~>
         1563  +f`1sO`rH&=r;Zcs_Z'T9rVlitJcF@%J,~>
         1564  +g&D-Ss8N)?rrW9$rrE&u!s&B$!6"p9!!*&r!:Tsf!5JR6!<3#u!4`&Z~>
         1565  +g&D-Ss8N)?rrW9$rrE&u!s&B$!6"p9!!*&r!:Tsf!5JR6!<3#u!4`&Z~>
         1566  +g&D-Ss8N)?rrW9$rrE&u!s&B$!6"p9!!*&r!:Tsf!5JR6!<3#u!4`&Z~>
         1567  +g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5\[@!<<'!rrE*!!4i,[~>
         1568  +g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5\[@!<<'!rrE*!!4i,[~>
         1569  +g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5\[@!<<'!rrE*!!4i,[~>
         1570  +g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5AI:!<3'!rrBV0J,~>
         1571  +g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5AI:!<3'!rrBV0J,~>
         1572  +g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5AI:!<3'!rrBV0J,~>
         1573  +g&D-Ss8N)=rr<&trrW9$rrBt:!!)ut!!)ut!!)Qh!s&B$!5AI:!<3'!rrBV0J,~>
         1574  +g&D-Ss8N)=rr<&trrW9$rrBt:!!)ut!!)ut!!)Qh!s&B$!5AI:!<3'!rrBV0J,~>
         1575  +g&D-Ss8N)=rr<&trrW9$rrBt:!!)ut!!)ut!!)Qh!s&B$!5AI:!<3'!rrBV0J,~>
         1576  +g&D-Ss8N)>rrN3#!<3!#!<<'!`;fc9rr;osnG`Rjs8N)6rrrK'rrE*!!4i,[~>
         1577  +g&D-Ss8N)>rrN3#!<3!#!<<'!`;fc9rr;osnG`Rjs8N)6rrrK'rrE*!!4i,[~>
         1578  +g&D-Ss8N)>rrN3#!<3!#!<<'!`;fc9rr;osnG`Rjs8N)6rrrK'rrE*!!4i,[~>
         1579  +f`1sOa8c)<rVultVuHi!s8N)7rs&Q(!<3'!rrBV0J,~>
         1580  +f`1sOa8c)<rVultVuHi!s8N)7rs&Q(!<3'!rrBV0J,~>
         1581  +f`1sOa8c)<rVultVuHi!s8N)7rs&Q(!<3'!rrBV0J,~>
         1582  +JcE4ZrrBk7r;cltrrBS/J,~>
         1583  +JcE4ZrrBk7r;cltrrBS/J,~>
         1584  +JcE4ZrrBk7r;cltrrBS/J,~>
         1585  +JcC<$U]5i~>
         1586  +JcC<$U]5i~>
         1587  +JcC<$U]5i~>
         1588  +JcC<$U]5i~>
         1589  +JcC<$U]5i~>
         1590  +JcC<$U]5i~>
         1591  +JcC<$U]5i~>
         1592  +JcC<$U]5i~>
         1593  +JcC<$U]5i~>
         1594  +JcC<$U]5i~>
         1595  +JcC<$U]5i~>
         1596  +JcC<$U]5i~>
         1597  +JcC<$U]5i~>
         1598  +JcC<$U]5i~>
         1599  +JcC<$U]5i~>
         1600  +JcC<$U]5i~>
         1601  +JcC<$U]5i~>
         1602  +JcC<$U]5i~>
         1603  +JcC<$U]5i~>
         1604  +JcC<$U]5i~>
         1605  +JcC<$U]5i~>
         1606  +JcC<$U]5i~>
         1607  +JcC<$U]5i~>
         1608  +JcC<$U]5i~>
         1609  +JcC<$U]5i~>
         1610  +JcC<$U]5i~>
         1611  +JcC<$U]5i~>
         1612  +JcC<$U]5i~>
         1613  +JcC<$U]5i~>
         1614  +JcC<$U]5i~>
         1615  +%%EndData
         1616  +showpage
         1617  +%%Trailer
         1618  +end
         1619  +%%EOF

Added 2014-03/deliano-goertzel/Bild10.png.

cannot compute difference between binary files

Added 2014-03/deliano-goertzel/Bild10.tif.

cannot compute difference between binary files

Changes to 2014-03/deliano-goertzel/listing.txt.

    35     35   \ 4+    LB
    36     36   
    37     37   5 ZVARIABLE AKKU" \ scratchpad
    38     38   
    39     39   : AKKU+     \ ( UD1  ---   ) Akku = Akku + UD1
    40     40   00  AKKU" C! 
    41     41   2DUP AKKU" 1+ D! 00FF AND     
    42         -     AKKU  1+ D@ 00FF AND D+  \ add lower 3 bytes            
           42  +     AKKU  1+ D@ 00FF AND D+  \ add lower 3 bytes
    43     43   2DUP AKKU 2+ C! AKKU 3 + !
    44         -SWAP DROP 0100 AND 8SHIFT>    \ extract carry-bit
    45         -AKKU @ AKKU" @ + + AKKU !     \ add top 2 bytes plus carry
           44  +SWAP DROP 0100 AND 8SHIFT>  \ extract carry-bit
           45  +AKKU @ AKKU" @ + + AKKU !  \ add top 2 bytes plus carry
    46     46   ; 
    47     47   
    48     48   : AKKU-     \ ( UD1  ---   ) Akku = Akku - UD1
    49     49   00 AKKU" C! AKKU" 1+ D!      
    50         -     AKKU  1+ D@ 00FF AND 
    51         -     AKKU" 1+ D@ 00FF AND D-    \ subtract lower 3 bytes            
           50  + AKKU  1+ D@ 00FF AND 
           51  + AKKU" 1+ D@ 00FF AND D-    \ subtract lower 3 bytes
    52     52   2DUP AKKU 2+ C! AKKU 3 + !
    53         -SWAP DROP 0100 AND 8SHIFT>      \ extract carry-bit
    54         -AKKU @ AKKU" @ - SWAP - AKKU !  \ sub top 2 bytes, sub carry
           53  +SWAP DROP 0100 AND 8SHIFT>  \ extract carry-bit
           54  +AKKU @ AKKU" @ - 
           55  +SWAP - AKKU !  \ sub top 2 bytes, sub carry
    55     56   ; 
    56     57   
    57         -: SAT-AKKU                    \ (  ---  ) saturate upper half
           58  +: SAT-AKKU   \ (  ---  ) saturate upper half
    58     59   AKKU C@ 80 AND 
    59     60   IF
    60     61     AKKU @ NOT FF80 AND   \ if not B% 1111 1111 1xxx
    61     62     IF 8000 AKKU 1+ !     \ saturate to xx 8000 xxxx
    62     63        ERR-CNTR+   
    63     64     THEN
    64     65   ELSE 
................................................................................
    65     66     AKKU @ FF80 AND     \ if not B% 0000 0000 0xxx
    66     67     IF 7FFF AKKU 1+ !   \ saturate to xx 7FFF xxxx
    67     68        ERR-CNTR+ 
    68     69     THEN
    69     70   THEN
    70     71   ;
    71     72   
    72         -: AKKU@               \ (  --- N1 ) upper half
           73  +: AKKU@      \ (  --- N1 ) upper half
    73     74   AKKU 1+ @ ;
    74     75   
    75         -: AKKU!               \ (  D1 --- ) clear extension-byte
    76         -DUP 8000 AND IF FF ELSE 00 THEN AKKU C! \ extend to 40 Bit                
           76  +: AKKU!      \ (  D1 --- ) clear extension-byte
           77  +DUP 8000 AND IF FF ELSE 00 THEN 
           78  +AKKU C!      \ extend to 40 Bit
    77     79   AKKU 1+ D! ;
    78     80   
    79     81   \ --------------------------------------
    80     82   
    81     83   2 ZVARIABLE SIGN
    82     84   
    83     85   :  ABS     \ ( N1 --- UN1 ) patch 
    84     86   DUP 8000 = IF DROP 8001 THEN
    85     87   ABS ;
    86     88   
    87     89   : (MAC)    \ ( N1 UN1 --- UD1 ) setup SIGN for AKKU+
    88         -OVER 8000 AND SIGN !   \  flag = 1 if result negative
           90  +OVER 8000 AND SIGN !  \ flag = 1 if result negative
    89     91   SWAP ABS U* ;
    90     92   
    91     93   : AKKU+    \ ( UD1 ---  )
    92     94   SIGN @ IF AKKU- ELSE AKKU+ THEN ;
    93     95   
    94     96   : MAC      \ ( N1 A1" ---  )
    95     97   (MAC) AKKU+ ;
................................................................................
   130    132   SAT-AKKU
   131    133   AKKU@ ;
   132    134   
   133    135   : INIT-ALP    \ (  ---  ) clear allpole filter
   134    136   0 zRAM ! 0 zRAM 2+ ! ;
   135    137   
   136    138   |>
   137         -
   138         -
   139         -
   140         -
   141         -
   142         -
   143         -

Changes to 2014-03/editorial.tex.

     1      1   \markboth{Editorial}{Editorial}
     2      2   
     3      3   %examples for editor photos:
     4      4   %\parpic[r]{\includegraphics[scale=0.8]{ulli}}
     5      5   %\parpic[r]{\includegraphics[scale=0.4]{ew}}
     6         -%\parpic[r]{\includegraphics[scale=1]{bernd}}
            6  +\parpic[r]{\includegraphics[scale=1]{bernd}}
     7      7   %\parpic[r]{\includegraphics[scale=0.5]{cas}}
     8      8   \section*{Liebe Leser,}
     9      9   
    10         -Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam
    11         -nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat,
    12         -sed diam voluptua. At vero eos et accusam et justo duo dolores et ea
    13         -rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem
    14         -ipsum dolor sit amet. Lorem ipsum dolor sit amet, consetetur
    15         -sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et
    16         -dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam
    17         -et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea
    18         -takimata sanctus est Lorem ipsum dolor sit amet.
           10  +Als der kleine Prinz über einen kartoffelförmigen, aber
           11  +kohlrabenschwarzen Kometen lief, fand er eine blaue Blechkiste, die
           12  +kopfüber in einer Spalte steckte. "`Wo kommst du denn her, blaue
           13  +Blechkiste?"' --- "`Von der Erde"' sagte die Blechkiste. "`Und ich
           14  +heiße Philae. Ich bin hier auf Tschurjumow--Gerassimenko
           15  +heruntergefallen und stecke nun fest"' Der kleine Prinz wunderte sich
           16  +über den komplizierten Namen. "`Gebt ihr auf der Erde allen Kometen so
           17  +komplizierte Namen?"' --- "`Ja,"' sagte die Kiste, "`Wir benennen sie
           18  +nach den Entdeckern. Das sind oft Russen, weil die sehen ständig
           19  +Sterne. Entweder nach dem Wodka--Trinken oder wenn sie in den Himmel
           20  +gucken. Wenn uns das zu kompliziert ist, nennen wir den Kometen auch
           21  +einfach 67P. Aber ich kann nicht viel mit dir quatschen, meine
           22  +Batterie ist bald leer, und hier unten bekomme ich kein Licht, um sie
           23  +wieder aufzuladen."'
           24  +
           25  +Die Kiste senkte ihren Bohrer ins Gestein, um noch schnell eine Probe
           26  +zu nehmen und schaltete sich dann ab. Das war kein besonders
           27  +gesprächiger Freund für den kleinen Prinz.
           28  +
           29  +Bei solchen interplanetaren Expeditionen geht ja viel schief, und es
           30  +gibt auch viel unbekanntes zu entdecken. Mit dabei ist oft Forth, auch
           31  +in diesem Fall: 10 strahlungsfeste RTX2010 sollen in dem Lander
           32  +stecken, ausgewählt, weil sie besonders wenig Strom verbrauchen. Die
           33  +Mission ist in einer DSL geschrieben, darunter arbeitet ein
           34  +Forth--System, der Compiler ist von MPE. Das ist ein Standardmodul für
           35  +solche Missionen.
           36  +
           37  +Allerdings werden heute oft nur FPGAs eingesetzt, und die tragen dann
           38  +halt eine Softcore--CPU als Nutzlast mit. Den RTX2000 gibt es von MPE
           39  +auch als solchen Softcore, aber wenn man schon einen Softcore hat,
           40  +kann man auch einen mit C nehmen, das kennt dann jeder. Allerdings
           41  +braucht man dann auch eine größere Batterie.
           42  +
           43  +Der Rest des Hefts ist dann ganz irdisch, ebenso wie die anderen News
           44  +aus der Forth--Ecke: Die EuroForth hat in Palma de Mallorca getagt,
           45  +und, mit zwei kleinen nachträglichen Online--Abstimmungen, den
           46  +Forth--2012--Standard verabschiedet und zwei Tage, bevor Philae auf
           47  +67P gelandet ist, veröffentlicht.
           48  +
           49  +Das vierte Heft in diesem Jahr wird ein ARM--Sonderheft.
           50  +
           51  +\bigskip
           52  +\hfill {\em Bernd Paysan}
    19     53   
    20     54   \vspace*{\fill}

Added 2014-03/forth-2012.lyx.

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            2  +\lyxformat 413
            3  +\begin_document
            4  +\begin_header
            5  +\textclass article
            6  +\use_default_options true
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            8  +\language ngerman
            9  +\language_package default
           10  +\inputencoding utf8x
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           38  +\paperorientation portrait
           39  +\suppress_date false
           40  +\use_refstyle 1
           41  +\index Index
           42  +\shortcut idx
           43  +\color #008000
           44  +\end_index
           45  +\secnumdepth 3
           46  +\tocdepth 3
           47  +\paragraph_separation indent
           48  +\paragraph_indentation default
           49  +\quotes_language german
           50  +\papercolumns 1
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           58  +\end_header
           59  +
           60  +\begin_body
           61  +
           62  +\begin_layout Title
           63  +Der Forth--2012--Standard
           64  +\end_layout
           65  +
           66  +\begin_layout Author
           67  +Bernd Paysan
           68  +\end_layout
           69  +
           70  +\begin_layout Abstract
           71  +
           72  +\size normal
           73  +\emph on
           74  +2004 regte Anton Ertl an, einen neuen Standard zu entwickeln (unter dem
           75  + ambitionierten informellen Namen Forth200x), da der alte nun schon 10 Jahre
           76  + auf dem Buckel hat, und es üblicherweise alle 10 Jahre einen neuen Sprachstanda
           77  +rd gibt --- so lange dauert das eben.
           78  + 2014 ist dieses Standard--Dokument fertig geworden, es heißt 
           79  +\begin_inset Quotes gld
           80  +\end_inset
           81  +
           82  +Forth--2012.
           83  +\begin_inset Quotes grd
           84  +\end_inset
           85  +
           86  + In diesem Artikel sollen die ganzen Veränderungen kurz beschrieben werden.
           87  +\end_layout
           88  +
           89  +\begin_layout Standard
           90  +\begin_inset ERT
           91  +status open
           92  +
           93  +\begin_layout Plain Layout
           94  +
           95  +
           96  +\backslash
           97  +begin{multicols}{2}
           98  +\end_layout
           99  +
          100  +\end_inset
          101  +
          102  +Warum 
          103  +\begin_inset Quotes gld
          104  +\end_inset
          105  +
          106  +Forth--2012
          107  +\begin_inset Quotes grd
          108  +\end_inset
          109  +
          110  +, wenn er erst 2014 fertig geworden ist? Weil 2012 so eine Art Feature--Freeze
          111  + eingesetzt hat, also keine Aufnahme substantieller neuer RfDs, sondern
          112  + nur noch Kleinigkeiten geändert wurden.
          113  + Auch das dauert, denn auch wenn das Standard--Komitee auf inzwischen gar
          114  + nicht mehr so moderne Kommunikationsmittel wie Usenet und E--Mail gesetzt
          115  + hat, und sogar gegen Ende VOIP und Online--Abstimmungen benutzt hat, sind
          116  + persönliche Treffen eben wichtig, aber rar.
          117  + Einmal im Jahr eben, bei der EuroForth.
          118  +\end_layout
          119  +
          120  +\begin_layout Standard
          121  +Dieser Standard gehört keinem Standard--Body, aber die Vorgehensweise ist
          122  + an den vorherigen ANSI--Standard angelehnt gewesen.
          123  + Es gibt also Regeln für stimmberechtigte Mitglieder des Komitees, Regeln,
          124  + wann eine Abstimmung als 
          125  +\begin_inset Quotes gld
          126  +\end_inset
          127  +
          128  +Konsens
          129  +\begin_inset Quotes grd
          130  +\end_inset
          131  +
          132  + angesehen wird (ein Standard kodifiziert gemeinsame Praxis, also ist ein
          133  + Standard ein Konsens--Werk), und Regeln, wie im Vorfeld mit Vorschlägen
          134  + umgegangen wird.
          135  + Wir haben kein 
          136  +\lang american
          137  +Design by Committee
          138  +\lang ngerman
          139  +, sondern die RfDs, die üblicherweise von einem oder wenigen Personen ausgearbei
          140  +tet werden, gemeinsam diskutiert und bei denen über einen Voting--Prozess
          141  + CfV ein Stimmungsbild erhoben wird --- bei diesem CfV ist jeder stimmberechtigt
          142  +, bei der Frage, ob das in den Standard kommt, und wenn ja, genau so oder
          143  + leicht geändert, entscheidet das Komitee.
          144  + Der Chair, 
          145  +\noun on
          146  +Anton Ertl
          147  +\noun default
          148  +, hat kein Sonder--Votum.
          149  +\end_layout
          150  +
          151  +\begin_layout Standard
          152  +Der Standard baut auf dem dpANS94--Dokument auf, allerdings hat sich der
          153  + Editor, 
          154  +\noun on
          155  +Peter Knaggs
          156  +\noun default
          157  +, gegen Word und für LaTeX entschieden.
          158  + Was hat sich nun in den letzten 10 Jahren am Standard geändert?
          159  +\end_layout
          160  +
          161  +\begin_layout Section
          162  +Änderungen zu Forth--94
          163  +\end_layout
          164  +
          165  +\begin_layout Standard
          166  +Alle als 
          167  +\begin_inset Quotes gld
          168  +\end_inset
          169  +
          170  +veraltend
          171  +\begin_inset Quotes grd
          172  +\end_inset
          173  +
          174  + markierten Wörter bis auf FORGET wurden aus dem Standard gestrichen, also
          175  + #TIB, CONVERT, EXPECT, QUERY, SPAN und TIB.
          176  + Und WORD, dessen veraltete Semantik das Anhängen eines Leerzeichens betrifft
          177  + (von der ebenfalls veralteten Funktion CONVERT benutzt), hat diese Funktion
          178  + verloren.
          179  +\end_layout
          180  +
          181  +\begin_layout Standard
          182  +Der separate Floating--Point--Stack, die für portable Programme nützlichere
          183  + Variante, ist nun Standard.
          184  + Standard--Programme müssen also nicht mehr für die Option gemeinsamer Stack
          185  + auch codiert werden (das hat ohnehin niemand gemacht).
          186  + Die Variante mit gemeinsamem Stack ist als 
          187  +\begin_inset Quotes gld
          188  +\end_inset
          189  +
          190  +environmental restriction
          191  +\begin_inset Quotes grd
          192  +\end_inset
          193  +
          194  + noch zugelassen, ist aber aus der Mode geraten.
          195  +\end_layout
          196  +
          197  +\begin_layout Standard
          198  +In Forth--94 wurden Environment--Queries eingeführt, insbesondere für Wordsets,
          199  + die kaum jemand benutzt hat.
          200  + Diese gibt es zwar noch, die Queries auf Wordsets sind aber als veraltend
          201  + markiert.
          202  + Zudem wurden [COMPILE] und LOCALS| neu auf die Liste der veraltenden Wörter
          203  + gesetzt, zu FORGET.
          204  + Mit [DEFINED] und [UNDEFINED] ist die üblichere Variante des Nachfragens,
          205  + ob ein Wort vorhanden ist, eingezogen.
          206  +\end_layout
          207  +
          208  +\begin_layout Standard
          209  +TO hat neue Ziele bekommen, nämlich Wörter, die von FVALUE und 2VALUE erzeugt
          210  + werden.
          211  + Ein System sollte sein TO also für verschiedene Ziele einrichten.
          212  +\end_layout
          213  +
          214  +\begin_layout Standard
          215  +Die Fehlerrückgaben 
          216  +\emph on
          217  +iors
          218  +\emph default
          219  + in Forth--94 waren so gemeint, dass man sie mit THROW werfen kann.
          220  + Das war aber nur eine Empfehlung.
          221  + Jetzt ist es verpflichtend vorgeschrieben.
          222  + Die Anzahl der lokalen Variablen hat sich auf 16 verdoppelt.
          223  +\end_layout
          224  +
          225  +\begin_layout Standard
          226  +Was viele Systeme schon lange nutzen, Number--Prefixe, ist jetzt auch Standard:
          227  + # für Dezimal, $ für hex und % für binär.
          228  + Zeichen können als '
          229  +\emph on
          230  +c
          231  +\emph default
          232  +' geschrieben werden.
          233  +\end_layout
          234  +
          235  +\begin_layout Standard
          236  +FASINH und FATAN2 wurden enger spezifiziert.
          237  +\end_layout
          238  +
          239  +\begin_layout Section
          240  +Zusätzliche Wörter
          241  +\end_layout
          242  +
          243  +\begin_layout Subsection
          244  +Core word sets
          245  +\end_layout
          246  +
          247  +\begin_layout Standard
          248  +Die Einführung deferred words in den Standard hat DEFER, IS, DEFER@, DEFER!
          249  + und ACTION--OF hinzugefügt.
          250  + Dann gibt es noch PARSE--NAME, S
          251  +\backslash
          252  +
          253  +\begin_inset Quotes grd
          254  +\end_inset
          255  +
          256  +, BUFFER: und HOLDS
          257  +\end_layout
          258  +
          259  +\begin_layout Subsection
          260  +Double Number word sets
          261  +\end_layout
          262  +
          263  +\begin_layout Standard
          264  +2VALUE ermöglicht Values auch für diesen Datentyp
          265  +\end_layout
          266  +
          267  +\begin_layout Subsection
          268  +Facility word sets
          269  +\end_layout
          270  +
          271  +\begin_layout Standard
          272  +Hier sind zwei Gruppen eingeführt worden: Strukturen und Konstanten zur
          273  + standardisierten Behandlung von EKEY.
          274  + Die Strukturen bringen die Wörter BEGIN--STRUCTURE, END--STRUCTURE, +FIELD,
          275  + CFIELD: und FIELD: mit, die Auswertung von EKEY--Ereignissen ein EKEY>FKEY,
          276  + K--F1 bis K--F12, K--HOME, K--INSERT, K--LEFT, K--NEXT, K--PRIOR, K--RIGHT,
          277  + K--UP, K--DOWN, K--DELETE, K--END, sowie die Masken K--ALT--MASK, K--CTRL--MASK
          278  + und K--SHIFT--MASK.
          279  +\end_layout
          280  +
          281  +\begin_layout Subsection
          282  +File--Access word sets
          283  +\end_layout
          284  +
          285  +\begin_layout Standard
          286  +Hier wurden INCLUDE, REQUIRE und REQUIRED hinzugefügt.
          287  +\end_layout
          288  +
          289  +\begin_layout Subsection
          290  +Floating--Point word sets
          291  +\end_layout
          292  +
          293  +\begin_layout Standard
          294  +Die Fließkommazahlen haben drei Felder für die Strukturen bekommen, DFFIELD:,
          295  + SFFIELD: und FFIELD:, ein erzeugendes Wort FVALUE, einen zusätzlichen Rundungsm
          296  +odus FTRUNC (round to zero), und die auch schon weit verbreiteten Konversionsfun
          297  +ktionen in Single F>S und S>F, da auf 64--Bit--Plattformen die Doubles weniger
          298  + Sinn machen als früher.
          299  +\end_layout
          300  +
          301  +\begin_layout Subsection
          302  +Locals word sets
          303  +\end_layout
          304  +
          305  +\begin_layout Standard
          306  +Eigentlich sollte die geschweifte Klammer als Ersatz für LOCALS| aufgenommen
          307  + werden, aufgrund Konflikte mit ein paar Systemen ist jetzt {: daraus geworden.
          308  + In den vielen Systemen, die { als Locals--Block schon länger verwendet
          309  + haben, wird das sicher auch weiterhin benutzbar bleiben.
          310  +\end_layout
          311  +
          312  +\begin_layout Subsection
          313  +Programming--Tools word sets
          314  +\end_layout
          315  +
          316  +\begin_layout Standard
          317  +Hier hat mit TRAVERSE--WORDLIST eine Higher--Order--Funktion Einzug in Forth
          318  + gehalten, ebenso wie ein neuer Typ, 
          319  +\begin_inset Quotes gld
          320  +\end_inset
          321  +
          322  +nt
          323  +\begin_inset Quotes grd
          324  +\end_inset
          325  +
          326  +, der Name Token.
          327  + Den kann man mit NAME>STRING, NAME>COMPILE und NAME>INTERPRET in xts oder
          328  + den String umwandeln.
          329  + N>R und NR> ermöglichen es, 
          330  +\begin_inset Formula $n$
          331  +\end_inset
          332  +
          333  + Werte auf dem Stack (abgezählt im TOS) auf den Return--Stack zu schieben,
          334  + und von dort wieder zurückzubekommen, etwa für GET--ORDER und SET--ORDER.
          335  + SYNONYM erlaubt einen Alias, und [DEFINED]/[UNDEFINED] das Prüfen, ob ein
          336  + Wort existiert.
          337  +\end_layout
          338  +
          339  +\begin_layout Subsection
          340  +String word sets
          341  +\end_layout
          342  +
          343  +\begin_layout Standard
          344  +Hier ist mit SUBSTITUTE und den Hilfswörtern REPLACES und UNESCAPE ein Vorschlag
          345  + aus dem Internationalisierungs--Projekt aufgenommen worden: Damit kann
          346  + man String--Templates mit Makros auffüllen.
          347  + Als beiderseitigen Delimiter gibt es das von DOS inspirierte '%'.
          348  +\end_layout
          349  +
          350  +\begin_layout Subsection
          351  +Extended--Character word sets
          352  +\end_layout
          353  +
          354  +\begin_layout Standard
          355  +Dieses ist komplett neu, es ist die größte Änderung am Standard, die es
          356  + erlaubt, mit heute üblichen Zeichensätzen variabler Länge (insbesondere
          357  + UTF--8 hat weite Verbreitung gefunden) umzugehen.
          358  + Forth hat hier den Vorteil, lang genug gewartet zu haben, die Programmiersprach
          359  +en, die sich schon Anfang der 90er begeistert auf Unicode gestürzt haben,
          360  + haben da eine frühe, und unreife Version davon bekommen, von der sie jetzt
          361  + nicht so leicht wegkommen.
          362  + UTF--8 und vergleichbare Codierungen sind ASCII--kompatibel, und haben
          363  + einen sehr viel kleineren Reibungsverlust.
          364  +\end_layout
          365  +
          366  +\begin_layout Standard
          367  +An Wörtern gibt es X--SIZE, XC!+, XC!+?, XC, XC--SIZE, XC@+, XCHAR+, XEMIT,
          368  + XKEY, XKEY?, +X/STRING und --TRAILING--GARBAGE im Extended--Character word
          369  + set selbst, und CHAR (als Erweiterung füx xchars), EKEY>XCHAR, PARSE, X--WIDTH,
          370  + XC--WIDTH, XCHAR--, XHOLD, X
          371  +\backslash
          372  +STRING-- und [CHAR] (ebenfalls für xchars) in den extended words.
          373  +\end_layout
          374  +
          375  +\begin_layout Section
          376  +Ausblick
          377  +\end_layout
          378  +
          379  +\begin_layout Standard
          380  +Der Standard selbst wird weiterhin als rollendes Dokument gepflegt und die
          381  + Arbeit fortgesetzt, diese Ausgabe ist ein Snapshot, auf den sich die Forth--Gem
          382  +einde geeinigt hat.
          383  + Im Embedded--Bereich kleiner Systeme bleiben ein paar Probleme, die die
          384  + Akzeptanz des Standards erschweren, also etwa CREATE ..
          385  + DOES> und die Header--Flags, die in Flash--Systemen je nach Beschaffenheit
          386  + auch Probleme machen können.
          387  + Insbesondere im inzwischen populär werdenden ARM--Cortex--Bereich machen
          388  + einige merkwürdige Gebilde den Programmierern das Leben schwer.
          389  + Insofern werden diese Systeme wohl absichtlich immer die eine oder andere
          390  + Warze behalten, die sie vom Standard unterscheidet.
          391  +\end_layout
          392  +
          393  +\begin_layout Standard
          394  +Das Komitee hat sich natürlich Arbeit aufgehalst.
          395  + Es gibt insgesamt 15 Punkte, von denen wir jetzt schon planen, sie umzusetzen:
          396  +\end_layout
          397  +
          398  +\begin_layout Enumerate
          399  +Der Ansatz, über eine Library als Referenz--Implementierung Funktionalität
          400  + zu standardisieren
          401  +\end_layout
          402  +
          403  +\begin_layout Enumerate
          404  +Einen Vorschlagsprozess für solche Libraries auszuarbeiten
          405  +\end_layout
          406  +
          407  +\begin_layout Enumerate
          408  +Die Bedeutung von Compilation/Interpretation und dem xt zu präzisieren
          409  +\end_layout
          410  +
          411  +\begin_layout Enumerate
          412  +Am Input--Format für Fließkommazahlen zu drehen
          413  +\end_layout
          414  +
          415  +\begin_layout Enumerate
          416  +Ein Wordset für Sockets (oder eine Library)
          417  +\end_layout
          418  +
          419  +\begin_layout Enumerate
          420  +Quotations
          421  +\end_layout
          422  +
          423  +\begin_layout Enumerate
          424  +Zweierkomplement in den Standard verankern, nachdem alles andere ausgestorben
          425  + ist
          426  +\end_layout
          427  +
          428  +\begin_layout Enumerate
          429  +Ein Zeichen als eine Adress--Unit festschreiben, so wie das fast überall
          430  + verwendet wird
          431  +\end_layout
          432  +
          433  +\begin_layout Enumerate
          434  +Recognizers einführen (ja, die hier im Heft)
          435  +\end_layout
          436  +
          437  +\begin_layout Enumerate
          438  +Multitasking und --threading sowie message passing und wie sich Nebenläufigkeit
          439  + inzwischen darstellt
          440  +\end_layout
          441  +
          442  +\begin_layout Enumerate
          443  +Internationalisierung, bzw.
          444  + das, was als dritter Teil übrig geblieben ist: Das Managen von übersetzten
          445  + Texten und Meldungen
          446  +\end_layout
          447  +
          448  +\begin_layout Enumerate
          449  +Cross Compiler, ein Ansatz, der schon vor 15 Jahren mal angefangen wurde,
          450  + aber inzwischen wieder veraltet ist, und erneut erarbeitet werden muss
          451  +\end_layout
          452  +
          453  +\begin_layout Enumerate
          454  +IEEE floating point library, das ist ein sehr umfangreiches Projekt
          455  +\end_layout
          456  +
          457  +\begin_layout Enumerate
          458  +Directories/filenames, nachdem der Widerstand der Menschen aus Backslashistan
          459  + inzwischen gebröckelt ist
          460  +\end_layout
          461  +
          462  +\begin_layout Enumerate
          463  +Das Memory--Access--Wordset, das einfach auch nach der Überarbeitung immer
          464  + noch zu groß war
          465  +\end_layout
          466  +
          467  +\begin_layout Standard
          468  +Es soll an neuer Technologie auch noch ein Wiki geben, in dem man den Standard
          469  + nachlesen und bearbeiten kann.
          470  +\end_layout
          471  +
          472  +\begin_layout Standard
          473  +\begin_inset ERT
          474  +status open
          475  +
          476  +\begin_layout Plain Layout
          477  +
          478  +
          479  +\backslash
          480  +end{multicols}
          481  +\end_layout
          482  +
          483  +\end_inset
          484  +
          485  +
          486  +\end_layout
          487  +
          488  +\end_body
          489  +\end_document

Added 2014-03/forth-im-all.tex.

            1  +\section{Vom Explorer 11 zu Philae}
            2  +
            3  +Herzlichen Glückwunsch, lieber Chuck!
            4  +
            5  +Du hast 1958 mit einem Programm zur Bestimmung der Flugbahnen von Satelliten begonnen, und 1960 deinen Bachelor of Science in Physik mit einer Arbeit über Datenreduktion für den Gammastrahlen-Satelliten Explorer 11 gemacht. Es folgte 1965 ein Echtzeit-Gaschromatograph auf deinem ersten Minicomputer.
            6  +
            7  +\begin{figure}
            8  +\begin{center}
            9  +\includegraphics[width=0.8\textwidth]{2014-03/s-15__explorer-11__1.png}
           10  +\end{center}
           11  +\end{figure}
           12  +
           13  +Deine spezielle Programmiersprache, mit der du 1970 das 11m-Teleskop und den Empfänger des National Radio Astronomy Observatory (NRAO) am Kitt Peak USA für ein nationales Programm zur Beobachtung und Aufzeichnung von Millimeterwellen im All steuern konntest, wurde 1980 vom Magazin BYTE mit einem Sonderheft bedacht, „The Forth Language“.
           14  +
           15  +Der nächste Schritt war, einen Mikroprozessor zu entwickeln, der die Grundbefehle dieser Programmiersprache als Maschinencode in Silizium implementierte - zu jener Zeit eine unvorstellbare Herausforderung. Aber es gelang Dir, und der erste dieser Mikroprozessoren, der Novix NC4000, hatte nur 4000 CMOS Gatter, mit denen das realisiert werden konnte!
           16  +
           17  +Auf der Basis des NC4000 entwickelte HARRIS Semiconductor die RTX2000 Familie, die neben der enormen Leistungsfähigkeit äußerst geringen Stromverbrauch hat und Raumfahrt-tauglich ist. Nun sind diese Mikroprozessoren dabei, mit der Raumsonde Philae nach einer zehnjährigen Reise den Kometen Churyumov-Gerasimenko  zu erforschen. Auch ein Massenspektrometer, kontrolliert von einem RTX2010, ist mit dabei. 
           18  +Am 12. November 2014 ist Philae gelandet. Eine erstaunliche Erfolgsgeschichte der Rosetta-Mission - und von Deinem Forth!
           19  +
           20  +db,mk
           21  +
           22  +\begin{figure}
           23  +\begin{center}
           24  +\includegraphics[width=0.8\textwidth]{2014-03/philae-rosetta.png}
           25  +\end{center}
           26  +\end{figure}
           27  +
           28  +\section{Quellen}
           29  +\url{http://de.wikipedia.org/wiki/Charles_H._Moore}
           30  +\url{http://en.wikipedia.org/wiki/RTX2000}
           31  +\url{http://www.computinghistory.org.uk/det/25228/Novix-NC4000-Beta-Board/}
           32  +
           33  +

Changes to 2014-03/goertzel.lyx.

    67     67   \begin_layout Author
    68     68   Rafael Deliano
    69     69   \end_layout
    70     70   
    71     71   \begin_layout Abstract
    72     72   
    73     73   \emph on
    74         -Eine Variante der diskreten Fourier Transformation ( DFT ) 
           74  +Eine Variante der diskreten Fourier-Transformation (DFT) 
    75     75   \begin_inset CommandInset citation
    76     76   LatexCommand cite
    77     77   key "key-1"
    78     78   
    79     79   \end_inset
    80     80   
    81         - die besonders für DTMF-Empfänger verwendet wurde.
           81  +, die besonders für DTMF-Empfänger verwendet wurde.
    82     82   \end_layout
    83     83   
    84     84   \begin_layout Abstract
    85     85   
    86     86   \emph on
    87         -Der Einsatz war ursprünglich auf DSPs beschränkt die dann aber 24 - 32 PCM-Kanäl
    88         -e gleichzeitig verarbeiten konnten.
    89         - Für nur einen Kanal sind heute auch 16 Bit Controller mit Multiplizierer
           87  +Der Einsatz war ursprünglich auf DSPs beschränkt, die dann aber 24 - 32
           88  + PCM-Kanäle gleichzeitig verarbeiten konnten.
           89  + Für nur einen Kanal sind heute auch 16-Bit-Controller mit Multiplizierer
    90     90    schnell genug.
    91         - Es ist damit zwar kein Verfahren das sich speziell für 8 Bit CPUs eignet.
    92         - Aber wenn man nur eine Frequenz erkennen will zumindest nicht viel aufwendiger
    93         - als ein Allpol-Filter 
           91  + Es ist damit zwar kein Verfahren, das sich speziell für 8-Bit-CPUs eignet,
           92  + erreicht.
           93  + Aber wenn man nur eine Frequenz erkennen will, ist das zumindest nicht
           94  + viel aufwändiger als ein Allpol-Filter 
    94     95   \begin_inset CommandInset citation
    95     96   LatexCommand cite
    96         -key "key-12"
           97  +key "key-11"
    97     98   
    98     99   \end_inset
    99    100   
   100    101   .
   101    102   \end_layout
   102    103   
   103    104   \begin_layout Standard
................................................................................
   117    118   \end_layout
   118    119   
   119    120   \begin_layout Section*
   120    121   Detektor
   121    122   \end_layout
   122    123   
   123    124   \begin_layout Standard
   124         -Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT
          125  +Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT,
   125    126    wie für DTMF-Empfänger in 
   126    127   \begin_inset CommandInset citation
   127    128   LatexCommand cite
   128    129   key "key-10"
   129    130   
   130    131   \end_inset
   131    132   
   132    133    dargestellt 
          134  +\series bold
          135  +(Abb.
   133    136   \begin_inset CommandInset ref
   134    137   LatexCommand ref
   135    138   reference "Abb.1"
   136    139   
   137    140   \end_inset
   138    141   
          142  +)
          143  +\series default
   139    144   .
   140    145    Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts dargestellt
   141    146   e vereinfachte Variante ohne Berechnung der Wurzel in vielen Anwendungen
   142    147    ausreichend.
   143         - Wegen der Integrate & Dump Stufe arbeitet diese Implementierung nicht kontinuie
          148  + Wegen der Integrate-&-Dump-Stufe arbeitet diese Implementierung nicht kontinuie
   144    149   rlich, sondern liefert nur am Ende eines Datenblocks einen Ausgangswert.
   145    150    Diese Eigenschaft hat auch der Goertzel-Algorithmus 
          151  +\series bold
          152  +(Abb.
   146    153   \begin_inset CommandInset ref
   147    154   LatexCommand ref
   148    155   reference "Abb.2"
   149    156   
   150    157   \end_inset
   151    158   
   152         -, selbst wenn seine Ähnlichkeit mit einem IIR-Filter 
   153         -\begin_inset CommandInset citation
   154         -LatexCommand cite
   155         -key "key-14"
   156         -
   157         -\end_inset
   158         -
   159         - ersteinmal anderes vermuten läßt.
   160         -\end_layout
   161         -
   162         -\begin_layout Section*
   163         -Goertzel
   164         -\end_layout
   165         -
   166         -\begin_layout Standard
   167         -Wegen der komplexen Rechnung müßte man für ihn eigentlich zwei Filter verwenden
   168         - 
   169         -\begin_inset CommandInset ref
   170         -LatexCommand ref
   171         -reference "Abb.3"
   172         -
   173         -\end_inset
   174         -
   175         -.
   176         - Die linke Hälfte des Filters ist aber identisch, also findet sich in der
   177         - Literatur meist eine kompaktere Darstellung 
   178         -\begin_inset CommandInset ref
   179         -LatexCommand ref
   180         -reference "Abb.4"
   181         -
   182         -\end_inset
   183         -
   184         -.
   185         - Man beachte dann aber, daß die rechte Hälfte komplexes Datenformat hat.
   186         - Dieser Teil wird aber nur einmal, am Ende des Datenblocks berechnet.
   187         - 
   188         -\end_layout
   189         -
   190         -\begin_layout Section*
   191         -Allpol
   192         -\end_layout
   193         -
   194         -\begin_layout Standard
   195         -Die linke Hälfte arbeitet wie bei einem Filter gewohnt kontinuierlich über
   196         - jedes Sample.
   197         - Bei einem DTMF-Empfänger der als A/D-Wandler ein PCM-Codec verwendet ist
   198         - die Samplerate fest fs=8kHz.
   199         - Die Frequenzen der 8 DTMF-Töne sind auch vorgegeben.
   200         - Variabel ist dann also nur N die Zahl der Samples im Datenblock.
   201         - Große Werte wären wegen der Schmalbandig-keit besser.
   202         - Für k sind aber ganzzahlige Werte nötig.
   203         - Mit geringer Frequenzabweichung für alle 8 Frequenzen.
   204         - Das schränkt die Möglichkeiten ein.
   205         - Der übliche Wert für fs=8kHz ist dann N=205 ( Tabelle 1 ) 
   206         -\begin_inset CommandInset citation
   207         -LatexCommand cite
   208         -key "key-4"
   209         -
   210         -\end_inset
   211         -
   212         -, obwohl auch N=105 schon vorgeschlagen wurde ( Tabelle 2 ).
   213         - Man kann auch auf fs=4kHz reduzieren, dann empfiehlt sich N=106 
   214         -\begin_inset CommandInset citation
   215         -LatexCommand cite
   216         -key "key-5"
   217         -
   218         -\end_inset
   219         -
   220         -.
   221         - 
   222         -\end_layout
   223         -
   224         -\begin_layout Standard
   225         -Die Koeffizienten sind so gewählt, daß dieses Filter auf der Stabilitätsgrenze
   226         - liegt und damit extrem schmalbandig ist.
   227         - Da der Faktor „a1“ als Festkommazahl nicht exakt darstellbar ist könnte
   228         - das Signal entweder Richtung Übersteuerung driften oder abklingen.
   229         - Aber die Quantisierung der Daten die bei digitalen Filtern meist für unschöne
   230         - Grenzzyklen sorgt wirkt sich hier meist stabilisierend auf die Schwingung
   231         - aus.
   232         - Solange das Signal nicht innerhalb der N=205 Samples wegdriftet ist die
   233         - Funktion nicht beeinträchtigt.
   234         - 
   235         -\end_layout
   236         -
   237         -\begin_layout Section*
   238         -Squared Magnitude 
   239         -\end_layout
   240         -
   241         -\begin_layout Standard
   242         -Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung der
   243         - Zeigerlänge kombiniert werden erhebliche Vereinfachungen möglich ( Bild
   244         - 5 ).
   245         - Nach Ausgabe des Ergebnisses müssen die beiden Speicher des Filters auf
   246         - Null gesetzt werden und der nächste Datenblock kann beginnen.
   247         - 
   248         -\end_layout
   249         -
   250         -\begin_layout Section*
   251         -Nachverarbeitung
   252         -\end_layout
   253         -
   254         -\begin_layout Standard
   255         -Da der Datenblock mit einem Rechteckfenster gewichtet wurde ist der Frequenzgang
   256         - wellig und für Oberwellen etwas durchlässig ( Bild 6 ).
   257         - Für viele Anwendungen genügt deren Bedämpfung jedoch.
   258         - Bei DTMF-Signalen z.B.
   259         - sind kaum Oberwellen vorhanden.
   260         - 
   261         -\end_layout
   262         -
   263         -\begin_layout Standard
   264         -Wenn das Eingangssignal z.B.
   265         - durch ALC einen konstanten Pegel hat genügt der Vergleich mit einer festen
   266         - Schaltschwelle um eine Frequenz zu erkennen ( Bild 7a ).
   267         - Andernfalls kann man mit breit- bandigen Energiedetektor den Eingangspegel
   268         - bestimmen und daraus die Schaltschwelle ableiten ( Bild 7b ).
   269         - 
   270         -\end_layout
   271         -
   272         -\begin_layout Standard
   273         -Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel
   274         - verwendet 
   275         -\begin_inset CommandInset citation
   276         -LatexCommand cite
   277         -key "key-3"
   278         -
   279         -\end_inset
   280         -
   281         - ( Bild 7c ).
   282         - Da Sprache im Gegensatz zu DTMF reichlich Oberwellen hat erleichtert der
   283         - zusätzliche Detektor die Unterscheidung beider Signale.
   284         - 
   285         -\end_layout
   286         -
   287         -\begin_layout Section*
   288         -Und nun zur Implementierung
   289         -\end_layout
   290         -
   291         -\begin_layout Standard
   292         -Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24 verwendet.
   293         - fs/ft ist dann ca.
   294         - 8,5 und die Konstante a1 hat den Wert 1,4712.
   295         - 
   296         -\end_layout
   297         -
   298         -\begin_layout Standard
   299         -Wenn man diesen Allpol mit Puls anregt wird er dauerhaft auf der Sinusfrequenz,
   300         - d.h mit ca.
   301         - 8,5 Samples Periode, weiterschwingen.
   302         - 
   303         -\end_layout
   304         -
   305         -\begin_layout Section*
   306         -Sinusgenerator
   307         -\end_layout
   308         -
   309         -\begin_layout Standard
   310         -Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem
   311         - Bereich ( Bild 10 ).
   312         - Gerade Längen mit 7 ...
   313         - 20 Samples enthalten eine einzelne Sinuskurve.
   314         - Eine Tabelle mit 17 Samples die zwei Sinusperioden enthält kann krumme
   315         - Werte wie 8,5 darstellen.
   316         - Die Tabellen werden hier mit +/-7FFF vollausgesteuerte verwendet.
   317         - Die 16 Bit Dynamik im Allpol-Filter reicht dann nur recht knapp aus.
   318         - Es empfiehlt sich wie in 
          159  +)
          160  +\series default
          161  +, selbst wenn seine Ähnlichkeit mit einem IIR-Filter 
   319    162   \begin_inset CommandInset citation
   320    163   LatexCommand cite
   321    164   key "key-12"
   322    165   
   323    166   \end_inset
   324    167   
   325         - ein 32 Bit Akkumulator der auf 40 Bit erweitert ist und damit Überlauf
   326         - erkennt und Sättigung durchführen kann.
   327         - 
   328         -\end_layout
   329         -
   330         -\begin_layout Standard
   331         -Nach Tests wurde der Vorteiler am Eingang ( Bild 8 ) auf 2^7 ausgelegt.
   332         - Dämpft man noch mehr wird intern ungenügend ausgesteuert.
   333         - Während mit 2^6 die Overflows bereits Nebenmaxima verschlechtern ( Bild
   334         - 10 ).
   335         - Zwar wird der Überlauf durch die Sättigungslogik entschärft, aber eine
   336         - leichte Verschlechterung des Meßwerts tritt trotzdem ein, sodaß er nicht
   337         - unbegrenzt tolerierbar ist.
   338         - Man sollte also in realen Anwendungen anhand anliegendem Pegel und Frequenzgemi
   339         -sch untersuchen wie sich intern die Aussteuerung des Allpols verhält.
   340         - Die abschliessende Berechnung der Zeigerlängen ( Bild 9 ) ist zwar etwas
   341         - umfänglich, aber technisch unproblematisch.
   342         - 
   343         -\end_layout
   344         -
   345         -\begin_layout Section*
   346         -Timing
   347         -\end_layout
   348         -
   349         -\begin_layout Standard
   350         -Das Programm belegt in Assembler auf einem 2,45 MHz MC68HC908 ca.
   351         - 400 Bytes FLASH.
   352         - Der Allpol benötigt 220usec pro Sample, die folgende Berechnung der Zeigerlänge
   353         - 350usec.
   354         - Wenn der Allpol z.B.
   355         - in einem 250usec Timerinterrupt berechnet wird ( Bild 11 ), wird man dort
   356         - auch die abschliessende Berechnung der Ausgabewerte vornehmen.
   357         - Die Unterbrechung von 1...
   358         - 2 Samples ist bezogen auf die Blocklänge N=205 unerheblich.
   359         - 
   360         -\end_layout
   361         -
   362         -\begin_layout Section*
   363         -Guard-Bits
   364         -\end_layout
   365         -
   366         -\begin_layout Standard
   367         -Für Simulation und Debugging des Algorithmus ist oft ein portable Variante
   368         - in Hochsprache wünschenswert.
   369         - Es ist in Assembler einfach an das 32 bit Datenwort 8 Bit anzuhängen um
   370         - einen überlaufsicheren 40 Bit Akkumulator zu erhalten.
   371         - In Hochsprache teilt man die Summierung in eine 32 Bit Addition bei der
   372         - das oberste Bit gelöscht ist ( Bild 12 ), sodaß man Carry detektieren kann.
   373         - Gefolgt von zwei Additionen für die oberen 16 Bit und das Carrybit.
   374         - 
          168  + ersteinmal anderes vermuten lässt.
   375    169   \end_layout
   376    170   
   377    171   \begin_layout Standard
   378    172   \begin_inset Float figure
   379    173   wide false
   380    174   sideways false
   381    175   status open
   382    176   
   383    177   \begin_layout Plain Layout
          178  +\align center
   384    179   \begin_inset Graphics
   385    180   	filename deliano-goertzel/Bild1.eps
          181  +	scale 75
   386    182   
   387    183   \end_inset
   388    184   
   389    185   
   390    186   \begin_inset Caption
   391    187   
   392    188   \begin_layout Plain Layout
................................................................................
   400    196   \end_layout
   401    197   
   402    198   \end_inset
   403    199   
   404    200   
   405    201   \end_layout
   406    202   
   407         -\begin_layout Plain Layout
   408         -
   409         -\end_layout
   410         -
   411    203   \end_inset
   412    204   
   413    205   
   414    206   \end_layout
   415    207   
   416    208   \begin_layout Standard
   417    209   \begin_inset Float figure
   418    210   wide false
   419    211   sideways false
   420    212   status open
   421    213   
   422    214   \begin_layout Plain Layout
          215  +\align center
   423    216   \begin_inset Graphics
   424    217   	filename deliano-goertzel/Bild2.eps
   425    218   
   426    219   \end_inset
   427    220   
   428    221   
   429    222   \begin_inset Caption
................................................................................
   439    232   \end_layout
   440    233   
   441    234   \end_inset
   442    235   
   443    236   
   444    237   \end_layout
   445    238   
   446         -\begin_layout Plain Layout
          239  +\end_inset
          240  +
   447    241   
   448    242   \end_layout
   449    243   
          244  +\begin_layout Section*
          245  +Goertzel
          246  +\end_layout
          247  +
          248  +\begin_layout Standard
          249  +Wegen der komplexen Rechnung müsste man für ihn eigentlich zwei Filter verwenden
          250  + 
          251  +\series bold
          252  +(Abb.
          253  +\begin_inset CommandInset ref
          254  +LatexCommand ref
          255  +reference "Abb.3"
          256  +
   450    257   \end_inset
   451    258   
          259  +)
          260  +\series default
          261  + .
          262  + Die linke Hälfte des Filters ist aber identisch, also findet sich in der
          263  + Literatur meist eine kompaktere Darstellung 
          264  +\series bold
          265  +(Abb.
          266  +\begin_inset CommandInset ref
          267  +LatexCommand ref
          268  +reference "Abb.4"
   452    269   
          270  +\end_inset
          271  +
          272  +)
          273  +\series default
          274  +.
          275  + Man beachte dann aber, dass die rechte Hälfte komplexes Datenformat hat.
          276  + Dieser Teil wird aber nur einmal, am Ende des Datenblocks, berechnet.
          277  + 
   453    278   \end_layout
   454    279   
   455    280   \begin_layout Standard
   456    281   \begin_inset Float figure
   457    282   wide false
   458    283   sideways false
   459    284   status open
   460    285   
   461    286   \begin_layout Plain Layout
          287  +\align center
   462    288   \begin_inset Graphics
   463    289   	filename deliano-goertzel/Bild3.eps
          290  +	scale 75
   464    291   
   465    292   \end_inset
   466    293   
   467    294   
   468    295   \begin_inset Caption
   469    296   
   470    297   \begin_layout Plain Layout
................................................................................
   478    305   \end_layout
   479    306   
   480    307   \end_inset
   481    308   
   482    309   
   483    310   \end_layout
   484    311   
   485         -\begin_layout Plain Layout
   486         -
   487         -\end_layout
   488         -
   489    312   \end_inset
   490    313   
   491    314   
   492    315   \end_layout
   493    316   
   494    317   \begin_layout Standard
   495    318   \begin_inset Float figure
   496    319   wide false
   497    320   sideways false
   498    321   status open
   499    322   
   500    323   \begin_layout Plain Layout
          324  +\align center
   501    325   \begin_inset Graphics
   502    326   	filename deliano-goertzel/Bild4.eps
   503    327   
   504    328   \end_inset
   505    329   
   506    330   
   507    331   \end_layout
................................................................................
   520    344   \end_layout
   521    345   
   522    346   \end_inset
   523    347   
   524    348   
   525    349   \end_layout
   526    350   
   527         -\begin_layout Plain Layout
   528         -
   529         -\end_layout
   530         -
   531         -\end_inset
   532         -
   533         -
          351  +\end_inset
          352  +
          353  +
          354  +\end_layout
          355  +
          356  +\begin_layout Section*
          357  +Allpol
          358  +\end_layout
          359  +
          360  +\begin_layout Standard
          361  +Die linke Hälfte arbeitet, wie bei einem Filter gewohnt, kontinuierlich
          362  + über jedes Sample.
          363  + Bei einem DTMF-Empfänger, der als A/D-Wandler ein PCM-Codec verwendet,
          364  + ist die Samplerate fest fs=8kHz.
          365  + Die Frequenzen der 8 DTMF-Töne sind auch vorgegeben.
          366  + Variabel ist dann also nur N, die Zahl der Samples im Datenblock.
          367  + Große Werte wären wegen der Schmalbandigkeit besser.
          368  + Für k sind aber ganzzahlige Werte nötig.
          369  + Mit geringer Frequenzabweichung für alle 8 Frequenzen.
          370  + Das schränkt die Möglichkeiten ein.
          371  + Der übliche Wert für fs=8kHz ist dann N=205 
          372  +\series bold
          373  +(Tab.
          374  +\begin_inset CommandInset ref
          375  +LatexCommand ref
          376  +reference "tab-1"
          377  +
          378  +\end_inset
          379  +
          380  +)
          381  +\series default
          382  + 
          383  +\begin_inset CommandInset citation
          384  +LatexCommand cite
          385  +key "key-4"
          386  +
          387  +\end_inset
          388  +
          389  +, obwohl auch N=105 schon vorgeschlagen wurde 
          390  +\series bold
          391  +(Tab.
          392  +\begin_inset CommandInset ref
          393  +LatexCommand ref
          394  +reference "tab-2"
          395  +
          396  +\end_inset
          397  +
          398  +)
          399  +\series default
          400  +.
          401  + Man kann auch auf fs=4kHz reduzieren, dann empfiehlt sich N=106 
          402  +\begin_inset CommandInset citation
          403  +LatexCommand cite
          404  +key "key-5"
          405  +
          406  +\end_inset
          407  +
          408  +.
          409  + 
          410  +\end_layout
          411  +
          412  +\begin_layout Standard
          413  +Die Koeffizienten sind so gewählt, dass dieses Filter auf der Stabilitätsgrenze
          414  + liegt und damit extrem schmalbandig ist.
          415  + Da der Faktor „a1“ als Festkommazahl nicht exakt darstellbar ist, könnte
          416  + das Signal entweder Richtung Übersteuerung driften oder abklingen.
          417  + Aber die Quantisierung der Daten, die bei digitalen Filtern meist für unschöne
          418  + Grenzzyklen sorgt, wirkt sich hier meist stabilisierend auf die Schwingung
          419  + aus.
          420  + Solange das Signal nicht innerhalb der N=205 Samples wegdriftet, ist die
          421  + Funktion nicht beeinträchtigt.
          422  + 
          423  +\end_layout
          424  +
          425  +\begin_layout Standard
          426  +\begin_inset Float table
          427  +wide false
          428  +sideways false
          429  +status open
          430  +
          431  +\begin_layout Plain Layout
          432  +\align center
          433  +\begin_inset Caption
          434  +
          435  +\begin_layout Plain Layout
          436  +\begin_inset CommandInset label
          437  +LatexCommand label
          438  +name "tab-1"
          439  +
          440  +\end_inset
          441  +
          442  +Parameter DTMF-Decoder [4] 
          443  +\end_layout
          444  +
          445  +\end_inset
          446  +
          447  +N=205 fs=8kHz 
          448  +\end_layout
          449  +
          450  +\begin_layout Plain Layout
          451  +\align center
          452  +\begin_inset Tabular
          453  +<lyxtabular version="3" rows="9" columns="3">
          454  +<features tabularvalignment="middle">
          455  +<column alignment="center" valignment="top" width="0">
          456  +<column alignment="center" valignment="top" width="0">
          457  +<column alignment="center" valignment="top" width="0">
          458  +<row>
          459  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          460  +\begin_inset Text
          461  +
          462  +\begin_layout Plain Layout
          463  +ft=
          464  +\end_layout
          465  +
          466  +\end_inset
          467  +</cell>
          468  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          469  +\begin_inset Text
          470  +
          471  +\begin_layout Plain Layout
          472  +k=
          473  +\end_layout
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          475  +\end_inset
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          477  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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          482  +\end_layout
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          488  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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          491  +\begin_layout Plain Layout
          492  +697Hz 
          493  +\end_layout
          494  +
          495  +\end_inset
          496  +</cell>
          497  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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          500  +\begin_layout Plain Layout
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          502  +\end_layout
          503  +
          504  +\end_inset
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          506  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          507  +\begin_inset Text
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          509  +\begin_layout Plain Layout
          510  +27906
          511  +\end_layout
          512  +
          513  +\end_inset
          514  +</cell>
          515  +</row>
          516  +<row>
          517  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          518  +\begin_inset Text
          519  +
          520  +\begin_layout Plain Layout
          521  +770Hz
          522  +\end_layout
          523  +
          524  +\end_inset
          525  +</cell>
          526  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          527  +\begin_inset Text
          528  +
          529  +\begin_layout Plain Layout
          530  +20
          531  +\end_layout
          532  +
          533  +\end_inset
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          535  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          536  +\begin_inset Text
          537  +
          538  +\begin_layout Plain Layout
          539  +26802
          540  +\end_layout
          541  +
          542  +\end_inset
          543  +</cell>
          544  +</row>
          545  +<row>
          546  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          547  +\begin_inset Text
          548  +
          549  +\begin_layout Plain Layout
          550  +852Hz
          551  +\end_layout
          552  +
          553  +\end_inset
          554  +</cell>
          555  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          556  +\begin_inset Text
          557  +
          558  +\begin_layout Plain Layout
          559  +22
          560  +\end_layout
          561  +
          562  +\end_inset
          563  +</cell>
          564  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          565  +\begin_inset Text
          566  +
          567  +\begin_layout Plain Layout
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          571  +\end_inset
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          574  +<row>
          575  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          576  +\begin_inset Text
          577  +
          578  +\begin_layout Plain Layout
          579  +941Hz
          580  +\end_layout
          581  +
          582  +\end_inset
          583  +</cell>
          584  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          585  +\begin_inset Text
          586  +
          587  +\begin_layout Plain Layout
          588  +24
          589  +\end_layout
          590  +
          591  +\end_inset
          592  +</cell>
          593  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          594  +\begin_inset Text
          595  +
          596  +\begin_layout Plain Layout
          597  +24295
          598  +\end_layout
          599  +
          600  +\end_inset
          601  +</cell>
          602  +</row>
          603  +<row>
          604  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          605  +\begin_inset Text
          606  +
          607  +\begin_layout Plain Layout
          608  +1209Hz
          609  +\end_layout
          610  +
          611  +\end_inset
          612  +</cell>
          613  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          614  +\begin_inset Text
          615  +
          616  +\begin_layout Plain Layout
          617  +31
          618  +\end_layout
          619  +
          620  +\end_inset
          621  +</cell>
          622  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          623  +\begin_inset Text
          624  +
          625  +\begin_layout Plain Layout
          626  +19057
          627  +\end_layout
          628  +
          629  +\end_inset
          630  +</cell>
          631  +</row>
          632  +<row>
          633  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          634  +\begin_inset Text
          635  +
          636  +\begin_layout Plain Layout
          637  +1336Hz
          638  +\end_layout
          639  +
          640  +\end_inset
          641  +</cell>
          642  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          643  +\begin_inset Text
          644  +
          645  +\begin_layout Plain Layout
          646  +34
          647  +\end_layout
          648  +
          649  +\end_inset
          650  +</cell>
          651  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          652  +\begin_inset Text
          653  +
          654  +\begin_layout Plain Layout
          655  +16529
          656  +\end_layout
          657  +
          658  +\end_inset
          659  +</cell>
          660  +</row>
          661  +<row>
          662  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          663  +\begin_inset Text
          664  +
          665  +\begin_layout Plain Layout
          666  +1477Hz
          667  +\end_layout
          668  +
          669  +\end_inset
          670  +</cell>
          671  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          672  +\begin_inset Text
          673  +
          674  +\begin_layout Plain Layout
          675  +38
          676  +\end_layout
          677  +
          678  +\end_inset
          679  +</cell>
          680  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          681  +\begin_inset Text
          682  +
          683  +\begin_layout Plain Layout
          684  +12945
          685  +\end_layout
          686  +
          687  +\end_inset
          688  +</cell>
          689  +</row>
          690  +<row>
          691  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          692  +\begin_inset Text
          693  +
          694  +\begin_layout Plain Layout
          695  +1633Hz
          696  +\end_layout
          697  +
          698  +\end_inset
          699  +</cell>
          700  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          701  +\begin_inset Text
          702  +
          703  +\begin_layout Plain Layout
          704  +42
          705  +\end_layout
          706  +
          707  +\end_inset
          708  +</cell>
          709  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
          710  +\begin_inset Text
          711  +
          712  +\begin_layout Plain Layout
          713  +9166
          714  +\end_layout
          715  +
          716  +\end_inset
          717  +</cell>
          718  +</row>
          719  +</lyxtabular>
          720  +
          721  +\end_inset
          722  +
          723  +
          724  +\end_layout
          725  +
          726  +\end_inset
          727  +
          728  +
          729  +\end_layout
          730  +
          731  +\begin_layout Standard
          732  +\begin_inset Float table
          733  +wide false
          734  +sideways false
          735  +status open
          736  +
          737  +\begin_layout Plain Layout
          738  +\align center
          739  +\begin_inset Caption
          740  +
          741  +\begin_layout Plain Layout
          742  +\begin_inset CommandInset label
          743  +LatexCommand label
          744  +name "tab-2"
          745  +
          746  +\end_inset
          747  +
          748  +Parameter DTMF-Decoder [5] 
          749  +\end_layout
          750  +
          751  +\end_inset
          752  +
          753  +N=105 fs=8kHz
          754  +\end_layout
          755  +
          756  +\begin_layout Plain Layout
          757  +\align center
          758  +\begin_inset Tabular
          759  +<lyxtabular version="3" rows="9" columns="2">
          760  +<features tabularvalignment="middle">
          761  +<column alignment="center" valignment="top" width="0">
          762  +<column alignment="center" valignment="top" width="0">
          763  +<row>
          764  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          765  +\begin_inset Text
          766  +
          767  +\begin_layout Plain Layout
          768  +ft=
          769  +\end_layout
          770  +
          771  +\end_inset
          772  +</cell>
          773  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
          774  +\begin_inset Text
          775  +
          776  +\begin_layout Plain Layout
          777  +k=
          778  +\end_layout
          779  +
          780  +\end_inset
          781  +</cell>
          782  +</row>
          783  +<row>
          784  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          785  +\begin_inset Text
          786  +
          787  +\begin_layout Plain Layout
          788  +697Hz
          789  +\end_layout
          790  +
          791  +\end_inset
          792  +</cell>
          793  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          794  +\begin_inset Text
          795  +
          796  +\begin_layout Plain Layout
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          798  +\end_layout
          799  +
          800  +\end_inset
          801  +</cell>
          802  +</row>
          803  +<row>
          804  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          805  +\begin_inset Text
          806  +
          807  +\begin_layout Plain Layout
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          809  +\end_layout
          810  +
          811  +\end_inset
          812  +</cell>
          813  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          814  +\begin_inset Text
          815  +
          816  +\begin_layout Plain Layout
          817  +10
          818  +\end_layout
          819  +
          820  +\end_inset
          821  +</cell>
          822  +</row>
          823  +<row>
          824  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          825  +\begin_inset Text
          826  +
          827  +\begin_layout Plain Layout
          828  +852Hz
          829  +\end_layout
          830  +
          831  +\end_inset
          832  +</cell>
          833  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          834  +\begin_inset Text
          835  +
          836  +\begin_layout Plain Layout
          837  +11
          838  +\end_layout
          839  +
          840  +\end_inset
          841  +</cell>
          842  +</row>
          843  +<row>
          844  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          845  +\begin_inset Text
          846  +
          847  +\begin_layout Plain Layout
          848  +941Hz
          849  +\end_layout
          850  +
          851  +\end_inset
          852  +</cell>
          853  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          854  +\begin_inset Text
          855  +
          856  +\begin_layout Plain Layout
          857  +12
          858  +\end_layout
          859  +
          860  +\end_inset
          861  +</cell>
          862  +</row>
          863  +<row>
          864  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          865  +\begin_inset Text
          866  +
          867  +\begin_layout Plain Layout
          868  +1209Hz
          869  +\end_layout
          870  +
          871  +\end_inset
          872  +</cell>
          873  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          874  +\begin_inset Text
          875  +
          876  +\begin_layout Plain Layout
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          878  +\end_layout
          879  +
          880  +\end_inset
          881  +</cell>
          882  +</row>
          883  +<row>
          884  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          885  +\begin_inset Text
          886  +
          887  +\begin_layout Plain Layout
          888  +1336Hz
          889  +\end_layout
          890  +
          891  +\end_inset
          892  +</cell>
          893  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          894  +\begin_inset Text
          895  +
          896  +\begin_layout Plain Layout
          897  +18
          898  +\end_layout
          899  +
          900  +\end_inset
          901  +</cell>
          902  +</row>
          903  +<row>
          904  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          905  +\begin_inset Text
          906  +
          907  +\begin_layout Plain Layout
          908  +1477Hz
          909  +\end_layout
          910  +
          911  +\end_inset
          912  +</cell>
          913  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          914  +\begin_inset Text
          915  +
          916  +\begin_layout Plain Layout
          917  +19
          918  +\end_layout
          919  +
          920  +\end_inset
          921  +</cell>
          922  +</row>
          923  +<row>
          924  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          925  +\begin_inset Text
          926  +
          927  +\begin_layout Plain Layout
          928  +1633Hz
          929  +\end_layout
          930  +
          931  +\end_inset
          932  +</cell>
          933  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
          934  +\begin_inset Text
          935  +
          936  +\begin_layout Plain Layout
          937  +21
          938  +\end_layout
          939  +
          940  +\end_inset
          941  +</cell>
          942  +</row>
          943  +</lyxtabular>
          944  +
          945  +\end_inset
          946  +
          947  +
          948  +\end_layout
          949  +
          950  +\end_inset
          951  +
          952  +
          953  +\end_layout
          954  +
          955  +\begin_layout Section*
          956  +Squared Magnitude 
          957  +\end_layout
          958  +
          959  +\begin_layout Standard
          960  +Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung der
          961  + Zeigerlänge kombiniert, werden erhebliche Vereinfachungen möglich 
          962  +\series bold
          963  +(Abb.
          964  +\begin_inset CommandInset ref
          965  +LatexCommand ref
          966  +reference "Abb.5"
          967  +
          968  +\end_inset
          969  +
          970  +)
          971  +\series default
          972  +.
          973  + Nach Ausgabe des Ergebnisses müssen die beiden Speicher des Filters auf
          974  + null gesetzt werden und der nächste Datenblock kann beginnen.
          975  + 
   534    976   \end_layout
   535    977   
   536    978   \begin_layout Standard
   537    979   \begin_inset Float figure
   538    980   wide false
   539    981   sideways false
   540    982   status open
   541    983   
   542    984   \begin_layout Plain Layout
          985  +\align center
   543    986   \begin_inset Graphics
   544    987   	filename deliano-goertzel/Bild5.eps
   545    988   
   546    989   \end_inset
   547    990   
   548    991   
   549    992   \begin_inset Caption
................................................................................
   563   1006   
   564   1007   \end_layout
   565   1008   
   566   1009   \end_inset
   567   1010   
   568   1011   
   569   1012   \end_layout
         1013  +
         1014  +\begin_layout Section*
         1015  +Nachverarbeitung
         1016  +\end_layout
         1017  +
         1018  +\begin_layout Standard
         1019  +Da der Datenblock mit einem Rechteckfenster gewichtet wurde, ist der Frequenzgan
         1020  +g wellig und für Oberwellen etwas durchlässig 
         1021  +\series bold
         1022  +(Abb.
         1023  +\begin_inset CommandInset ref
         1024  +LatexCommand ref
         1025  +reference "Abb.6"
         1026  +
         1027  +\end_inset
         1028  +
         1029  +)
         1030  +\series default
         1031  +.
         1032  + Für viele Anwendungen genügt deren Bedämpfung jedoch.
         1033  + Bei DTMF-Signalen z.B.
         1034  + sind kaum Oberwellen vorhanden.
         1035  + 
         1036  +\end_layout
   570   1037   
   571   1038   \begin_layout Standard
   572   1039   \begin_inset Float figure
   573   1040   wide false
   574   1041   sideways false
   575   1042   status open
   576   1043   
   577   1044   \begin_layout Plain Layout
         1045  +\align center
   578   1046   \begin_inset Graphics
   579   1047   	filename deliano-goertzel/Bild6.eps
   580   1048   
   581   1049   \end_inset
   582   1050   
   583   1051   
   584   1052   \begin_inset Caption
................................................................................
   594   1062   \end_layout
   595   1063   
   596   1064   \end_inset
   597   1065   
   598   1066   
   599   1067   \end_layout
   600   1068   
   601         -\begin_layout Plain Layout
   602         -
   603         -\end_layout
   604         -
   605         -\end_inset
   606         -
   607         -
         1069  +\end_inset
         1070  +
         1071  +
         1072  +\end_layout
         1073  +
         1074  +\begin_layout Standard
         1075  +Wenn das Eingangssignal z.B.
         1076  + durch ALC einen konstanten Pegel hat, genügt der Vergleich mit einer festen
         1077  + Schaltschwelle, um eine Frequenz zu erkennen 
         1078  +\series bold
         1079  +(Abb.
         1080  +\begin_inset CommandInset ref
         1081  +LatexCommand ref
         1082  +reference "Abb.7"
         1083  +
         1084  +\end_inset
         1085  +
         1086  +a)
         1087  +\series default
         1088  +.
         1089  + Andernfalls kann man mit breitbandigen Energiedetektor den Eingangspegel
         1090  + bestimmen und daraus die Schaltschwelle ableiten 
         1091  +\series bold
         1092  +(Abb.
         1093  +\begin_inset CommandInset ref
         1094  +LatexCommand ref
         1095  +reference "Abb.7"
         1096  +
         1097  +\end_inset
         1098  +
         1099  +b)
         1100  +\series default
         1101  +.
         1102  + 
         1103  +\end_layout
         1104  +
         1105  +\begin_layout Standard
         1106  +Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel
         1107  + verwendet 
         1108  +\begin_inset CommandInset citation
         1109  +LatexCommand cite
         1110  +key "key-3"
         1111  +
         1112  +\end_inset
         1113  +
         1114  + 
         1115  +\series bold
         1116  +(Abb.
         1117  +\begin_inset CommandInset ref
         1118  +LatexCommand ref
         1119  +reference "Abb.7"
         1120  +
         1121  +\end_inset
         1122  +
         1123  +c)
         1124  +\series default
         1125  +.
         1126  + Da Sprache im Gegensatz zu DTMF reichlich Oberwellen hat, erleichtert der
         1127  + zusätzliche Detektor die Unterscheidung beider Signale.
         1128  + 
   608   1129   \end_layout
   609   1130   
   610   1131   \begin_layout Standard
   611   1132   \begin_inset Float figure
   612   1133   wide false
   613   1134   sideways false
   614   1135   status open
   615   1136   
   616   1137   \begin_layout Plain Layout
         1138  +\align center
   617   1139   \begin_inset Graphics
   618   1140   	filename deliano-goertzel/Bild7.eps
   619   1141   
   620   1142   \end_inset
   621   1143   
   622   1144   
   623   1145   \begin_inset Caption
................................................................................
   637   1159   
   638   1160   \end_layout
   639   1161   
   640   1162   \end_inset
   641   1163   
   642   1164   
   643   1165   \end_layout
         1166  +
         1167  +\begin_layout Section*
         1168  +Und nun zur Implementierung
         1169  +\end_layout
         1170  +
         1171  +\begin_layout Standard
         1172  +Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24 verwendet.
         1173  + fs/ft ist dann ca.
         1174  + 8,5 und die Konstante a1 hat den Wert 1,4712.
         1175  + 
         1176  +\end_layout
         1177  +
         1178  +\begin_layout Standard
         1179  +Wenn man diesen Allpol mit Puls anregt, wird er dauerhaft auf der Sinusfrequenz,
         1180  + d.h mit ca.
         1181  + 8,5 Samples Periode, weiterschwingen.
         1182  + 
         1183  +\end_layout
         1184  +
         1185  +\begin_layout Section*
         1186  +Sinusgenerator
         1187  +\end_layout
         1188  +
         1189  +\begin_layout Standard
         1190  +Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem
         1191  + Bereich 
         1192  +\series bold
         1193  +(Abb.
         1194  +\begin_inset CommandInset ref
         1195  +LatexCommand ref
         1196  +reference "Abb.10"
         1197  +
         1198  +\end_inset
         1199  +
         1200  +)
         1201  +\series default
         1202  +.
         1203  + Gerade Längen mit 7 ...
         1204  + 20 Samples enthalten eine einzelne Sinuskurve.
         1205  + Eine Tabelle mit 17 Samples, die zwei Sinusperioden enthält, kann krumme
         1206  + Werte, wie 8,5 , darstellen.
         1207  + Die Tabellen werden hier mit +/-7FFF vollausgesteuert verwendet.
         1208  + Die 16-Bit-Dynamik im Allpol-Filter reicht dann nur recht knapp aus.
         1209  + Es empfiehlt sich, wie in 
         1210  +\begin_inset CommandInset citation
         1211  +LatexCommand cite
         1212  +key "key-12"
         1213  +
         1214  +\end_inset
         1215  +
         1216  +, ein 32-Bit-Akkumulator, der auf 40 Bit erweitert ist und damit Überlauf
         1217  + erkennt und Sättigung durchführen kann.
         1218  + 
         1219  +\end_layout
         1220  +
         1221  +\begin_layout Standard
         1222  +Nach Tests wurde der Vorteiler am Eingang 
         1223  +\series bold
         1224  +(Abb.
         1225  +\begin_inset CommandInset ref
         1226  +LatexCommand ref
         1227  +reference "Abb.8"
         1228  +
         1229  +\end_inset
         1230  +
         1231  +)
         1232  +\series default
         1233  + auf 2^7 ausgelegt.
         1234  + Dämpft man noch mehr, wird intern ungenügend ausgesteuert.
         1235  + Während mit 2^6 die Overflows bereits Nebenmaxima verschlechtern 
         1236  +\series bold
         1237  +(Abb.
         1238  +\begin_inset CommandInset ref
         1239  +LatexCommand ref
         1240  +reference "Abb.10"
         1241  +
         1242  +\end_inset
         1243  +
         1244  +)
         1245  +\series default
         1246  +.
         1247  + Zwar wird der Überlauf durch die Sättigungslogik entschärft, aber eine
         1248  + leichte Verschlechterung des Messwerts tritt trotzdem ein, sodass er nicht
         1249  + unbegrenzt tolerierbar ist.
         1250  + Man sollte also in realen Anwendungen anhand anliegendem Pegel und Frequenzgemi
         1251  +sch untersuchen, wie sich intern die Aussteuerung des Allpols verhält.
         1252  + Die abschließende Berechnung der Zeigerlängen 
         1253  +\series bold
         1254  +(Abb.
         1255  +\begin_inset CommandInset ref
         1256  +LatexCommand ref
         1257  +reference "Abb.9"
         1258  +
         1259  +\end_inset
         1260  +
         1261  +)
         1262  +\series default
         1263  + ist zwar etwas umfänglich, aber technisch unproblematisch.
         1264  + 
         1265  +\end_layout
   644   1266   
   645   1267   \begin_layout Standard
   646   1268   \begin_inset Float figure
   647   1269   wide false
   648   1270   sideways false
   649   1271   status open
   650   1272   
   651   1273   \begin_layout Plain Layout
         1274  +\align center
   652   1275   \begin_inset Graphics
   653   1276   	filename deliano-goertzel/Bild8.eps
   654   1277   
   655   1278   \end_inset
   656   1279   
   657   1280   
   658   1281   \begin_inset Caption
................................................................................
   668   1291   \end_layout
   669   1292   
   670   1293   \end_inset
   671   1294   
   672   1295   
   673   1296   \end_layout
   674   1297   
   675         -\begin_layout Plain Layout
   676         -
   677         -\end_layout
   678         -
   679   1298   \end_inset
   680   1299   
   681   1300   
   682   1301   \end_layout
   683   1302   
   684   1303   \begin_layout Standard
   685   1304   \begin_inset Float figure
   686   1305   wide false
   687   1306   sideways false
   688         -status open
         1307  +status collapsed
   689   1308   
   690   1309   \begin_layout Plain Layout
   691   1310   \begin_inset Graphics
   692   1311   	filename deliano-goertzel/Bild9.eps
   693   1312   
   694   1313   \end_inset
   695   1314   
................................................................................
   707   1326   \end_layout
   708   1327   
   709   1328   \end_inset
   710   1329   
   711   1330   
   712   1331   \end_layout
   713   1332   
   714         -\begin_layout Plain Layout
   715         -
   716         -\end_layout
   717         -
   718   1333   \end_inset
   719   1334   
   720   1335   
   721   1336   \end_layout
   722   1337   
   723   1338   \begin_layout Standard
   724   1339   \begin_inset Float figure
   725   1340   wide false
   726   1341   sideways false
   727   1342   status open
   728   1343   
   729   1344   \begin_layout Plain Layout
   730         -(muss noch komponiert werden aus der 11wer Gruppe)
         1345  +\align center
         1346  +\begin_inset Graphics
         1347  +	filename deliano-goertzel/Bild10.png
         1348  +	scale 75
         1349  +
         1350  +\end_inset
         1351  +
         1352  +
   731   1353   \begin_inset Caption
   732   1354   
   733   1355   \begin_layout Plain Layout
   734   1356   \begin_inset CommandInset label
   735   1357   LatexCommand label
   736   1358   name "Abb.10"
   737   1359   
................................................................................
   741   1363   \end_layout
   742   1364   
   743   1365   \end_inset
   744   1366   
   745   1367   
   746   1368   \end_layout
   747   1369   
   748         -\begin_layout Plain Layout
         1370  +\end_inset
         1371  +
   749   1372   
   750   1373   \end_layout
   751   1374   
         1375  +\begin_layout Section*
         1376  +Timing
         1377  +\end_layout
         1378  +
         1379  +\begin_layout Standard
         1380  +Das Programm belegt in Assembler auf einem 2,45-MHz-MC68HC908 ca.
         1381  + 400 Bytes FLASH.
         1382  + Der Allpol benötigt 220usec pro Sample, die folgende Berechnung der Zeigerlänge
         1383  + 350usec.
         1384  + Wenn der Allpol z.B.
         1385  + in einem 250usec-Timerinterrupt berechnet wird 
         1386  +\series bold
         1387  +(Abb.
         1388  +\begin_inset CommandInset ref
         1389  +LatexCommand ref
         1390  +reference "Abb.11"
         1391  +
   752   1392   \end_inset
   753   1393   
   754         -
         1394  +)
         1395  +\series default
         1396  +, wird man dort auch die abschließende Berechnung der Ausgabewerte vornehmen.
         1397  + Die Unterbrechung von 1...
         1398  + 2 Samples ist bezogen auf die Blocklänge N=205 unerheblich.
         1399  + 
   755   1400   \end_layout
   756   1401   
   757   1402   \begin_layout Standard
   758   1403   \begin_inset Float figure
   759   1404   wide false
   760   1405   sideways false
   761   1406   status open
   762   1407   
   763   1408   \begin_layout Plain Layout
         1409  +\align center
   764   1410   \begin_inset Graphics
   765   1411   	filename deliano-goertzel/Bild11.eps
   766   1412   
   767   1413   \end_inset
   768   1414   
   769   1415   
   770   1416   \begin_inset Caption
................................................................................
   780   1426   \end_layout
   781   1427   
   782   1428   \end_inset
   783   1429   
   784   1430   
   785   1431   \end_layout
   786   1432   
   787         -\begin_layout Plain Layout
         1433  +\end_inset
         1434  +
   788   1435   
   789   1436   \end_layout
   790   1437   
         1438  +\begin_layout Section*
         1439  +Guard-Bits
         1440  +\end_layout
         1441  +
         1442  +\begin_layout Standard
         1443  +Für Simulation und Debugging des Algorithmus ist oft eine portable Variante
         1444  + in Hochsprache wünschenswert.
         1445  + Es ist in Assembler einfach, an das 32-Bit-Datenwort 8 Bit anzuhängen,
         1446  + um einen überlaufsicheren 40-Bit-Akkumulator zu erhalten.
         1447  + In Hochsprache teilt man die Summierung in eine 32-Bit-Addition, bei der
         1448  + das oberste Bit gelöscht ist 
         1449  +\series bold
         1450  +(Abb.
         1451  +\begin_inset CommandInset ref
         1452  +LatexCommand ref
         1453  +reference "Abb.12"
         1454  +
   791   1455   \end_inset
   792   1456   
   793         -
         1457  +)
         1458  +\series default
         1459  +, sodass man Carry detektieren kann.
         1460  + Gefolgt von zwei Additionen für die oberen 16 Bit und das Carrybit.
         1461  + 
   794   1462   \end_layout
   795   1463   
   796   1464   \begin_layout Standard
   797   1465   \begin_inset Float figure
   798   1466   wide false
   799   1467   sideways false
   800   1468   status open
   801   1469   
   802   1470   \begin_layout Plain Layout
         1471  +\align center
   803   1472   \begin_inset Graphics
   804   1473   	filename deliano-goertzel/Bild12.eps
         1474  +	scale 75
   805   1475   
   806   1476   \end_inset
   807   1477   
   808   1478   
   809   1479   \begin_inset Caption
   810   1480   
   811   1481   \begin_layout Plain Layout
................................................................................
   819   1489   \end_layout
   820   1490   
   821   1491   \end_inset
   822   1492   
   823   1493   
   824   1494   \end_layout
   825   1495   
   826         -\begin_layout Plain Layout
   827         -
   828         -\end_layout
   829         -
   830   1496   \end_inset
   831   1497   
   832   1498   
   833   1499   \end_layout
   834   1500   
   835   1501   \begin_layout Bibliography
   836         -\labelwidthstring Literaturverzeichnis
   837         -\align left
         1502  +\align block
   838   1503   \begin_inset CommandInset bibitem
   839   1504   LatexCommand bibitem
   840   1505   key "key-1"
   841   1506   
   842   1507   \end_inset
   843   1508   
   844         - Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“
         1509  +Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“
   845   1510    Amer.
   846   1511    Math.
   847   1512    Monthly Jan.
   848   1513    1958 
   849   1514   \end_layout
   850   1515   
   851   1516   \begin_layout Bibliography
   852         -\labelwidthstring Literaturverzeichnis
   853         -\align left
         1517  +\align block
   854   1518   \begin_inset CommandInset bibitem
   855   1519   LatexCommand bibitem
   856   1520   label "2"
   857   1521   key "key-2"
   858   1522   
   859   1523   \end_inset
   860   1524   
   861   1525   Gerdsen, Kröger „Digitale Signalverarbeitung in der Nachrichtentechnik“
   862   1526    Springer 1993
   863   1527   \end_layout
   864   1528   
   865   1529   \begin_layout Bibliography
   866         -\labelwidthstring Literaturverzeichnis
   867         -\align left
         1530  +\align block
   868   1531   \begin_inset CommandInset bibitem
   869   1532   LatexCommand bibitem
   870   1533   label "3"
   871   1534   key "key-3"
   872   1535   
   873   1536   \end_inset
   874   1537   
   875   1538   Mock „Add DTMF generation and decoding to DSP-uP designs“ EDN March 1985
   876   1539    
   877   1540   \end_layout
   878   1541   
   879   1542   \begin_layout Bibliography
   880         -\labelwidthstring Literaturverzeichnis
   881         -\align left
         1543  +\align block
   882   1544   \begin_inset CommandInset bibitem
   883   1545   LatexCommand bibitem
   884   1546   label "4"
   885   1547   key "key-4"
   886   1548   
   887   1549   \end_inset
   888   1550   
   889   1551   Chen "Modified Goertzel Algorithm in DTMF Detection Using the TMS320C80"
   890   1552    Application Note SPRA066 1996 
   891   1553   \end_layout
   892   1554   
   893   1555   \begin_layout Bibliography
   894         -\labelwidthstring Literaturverzeichnis
   895         -\align left
         1556  +\align block
   896   1557   \begin_inset CommandInset bibitem
   897   1558   LatexCommand bibitem
   898   1559   label "5"
   899   1560   key "key-5"
   900   1561   
   901   1562   \end_inset
   902   1563   
   903   1564   Gay, Hartung, Smith „Algorithms for Multi-Channel DTMF Detection for the
   904   1565    WE DSP32 Family“ ICASSP 89 
   905   1566   \end_layout
   906   1567   
   907   1568   \begin_layout Bibliography
   908         -\labelwidthstring Literaturverzeichnis
   909         -\align left
         1569  +\align block
   910   1570   \begin_inset CommandInset bibitem
   911   1571   LatexCommand bibitem
   912   1572   label "10"
   913   1573   key "key-10"
   914   1574   
   915   1575   \end_inset
   916   1576   
   917   1577   emb (12) DTMF-Decoder 
   918   1578   \end_layout
   919   1579   
   920   1580   \begin_layout Bibliography
   921         -\labelwidthstring Literaturverzeichnis
   922         -\align left
         1581  +\align block
   923   1582   \begin_inset CommandInset bibitem
   924   1583   LatexCommand bibitem
   925   1584   label "11"
   926   1585   key "key-11"
   927   1586   
   928   1587   \end_inset
   929   1588   
   930   1589   emb (13) 2pol Allpol Filter 
   931   1590   \end_layout
   932   1591   
   933   1592   \begin_layout Bibliography
   934         -\labelwidthstring Literaturverzeichnis
   935         -\align left
         1593  +\align block
   936   1594   \begin_inset CommandInset bibitem
   937   1595   LatexCommand bibitem
   938   1596   label "12"
   939   1597   key "key-12"
   940   1598   
   941   1599   \end_inset
   942   1600   
   943   1601   emb (14) Biquads 
   944   1602   \end_layout
   945   1603   
   946   1604   \begin_layout Bibliography
   947         -\labelwidthstring Literaturverzeichnis
         1605  +\align block
   948   1606   \begin_inset CommandInset bibitem
   949   1607   LatexCommand bibitem
   950   1608   label "14"
   951   1609   key "key-14"
   952   1610   
   953   1611   \end_inset
   954   1612   
................................................................................
   966   1624   end{multicols}
   967   1625   \end_layout
   968   1626   
   969   1627   \end_inset
   970   1628   
   971   1629   
   972   1630   \end_layout
         1631  +
         1632  +\begin_layout Standard
         1633  +\begin_inset ERT
         1634  +status open
         1635  +
         1636  +\begin_layout Plain Layout
         1637  +
         1638  +
         1639  +\backslash
         1640  +begin{multicols}{2}
         1641  +\end_layout
         1642  +
         1643  +\end_inset
         1644  +
         1645  +
         1646  +\end_layout
   973   1647   
   974   1648   \begin_layout Section*
   975         -Listings
         1649  +Listing
   976   1650   \end_layout
   977   1651   
   978   1652   \begin_layout Standard
   979   1653   
   980   1654   \size footnotesize
   981   1655   \begin_inset ERT
   982   1656   status open
................................................................................
   984   1658   \begin_layout Plain Layout
   985   1659   
   986   1660   
   987   1661   \backslash
   988   1662   listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt}
   989   1663   \end_layout
   990   1664   
         1665  +\end_inset
         1666  +
         1667  +
         1668  +\end_layout
         1669  +
         1670  +\begin_layout Standard
         1671  +\align block
         1672  +\begin_inset ERT
         1673  +status open
         1674  +
         1675  +\begin_layout Plain Layout
         1676  +
         1677  +
         1678  +\backslash
         1679  +end{multicols}
         1680  +\end_layout
         1681  +
   991   1682   \end_inset
   992   1683   
   993   1684   
   994   1685   \end_layout
   995   1686   
   996   1687   \end_body
   997   1688   \end_document

Changes to 2014-03/goertzel.lyx~.

    67     67   \begin_layout Author
    68     68   Rafael Deliano
    69     69   \end_layout
    70     70   
    71     71   \begin_layout Abstract
    72     72   
    73     73   \emph on
    74         -Eine Variante der diskreten Fourier Transformation ( DFT ) 
           74  +Eine Variante der diskreten Fourier-Transformation (DFT) 
    75     75   \begin_inset CommandInset citation
    76     76   LatexCommand cite
    77     77   key "key-1"
    78     78   
    79     79   \end_inset
    80     80   
    81         - die besonders für DTMF-Empfänger verwendet wurde.
           81  +, die besonders für DTMF-Empfänger verwendet wurde.
    82     82   \end_layout
    83     83   
    84     84   \begin_layout Abstract
    85     85   
    86     86   \emph on
    87         -Der Einsatz war ursprünglich auf DSPs beschränkt die dann aber 24 - 32 PCM-Kanäl
    88         -e gleichzeitig verarbeiten konnten.
    89         - Für nur einen Kanal sind heute auch 16 Bit Controller mit Multiplizierer
           87  +Der Einsatz war ursprünglich auf DSPs beschränkt, die dann aber 24 - 32
           88  + PCM-Kanäle gleichzeitig verarbeiten konnten.
           89  + Für nur einen Kanal sind heute auch 16-Bit-Controller mit Multiplizierer
    90     90    schnell genug.
    91         - Es ist damit zwar kein Verfahren das sich speziell für 8 Bit CPUs eignet.
    92         - Aber wenn man nur eine Frequenz erkennen will zumindest nicht viel aufwendiger
    93         - als ein Allpol-Filter 
           91  + Es ist damit zwar kein Verfahren, das sich speziell für 8-Bit-CPUs eignet,
           92  + erreicht.
           93  + Aber wenn man nur eine Frequenz erkennen will, ist das zumindest nicht
           94  + viel aufwändiger als ein Allpol-Filter 
    94     95   \begin_inset CommandInset citation
    95     96   LatexCommand cite
    96         -key "key-12"
           97  +key "key-11"
    97     98   
    98     99   \end_inset
    99    100   
   100    101   .
   101    102   \end_layout
   102    103   
   103    104   \begin_layout Standard
................................................................................
   117    118   \end_layout
   118    119   
   119    120   \begin_layout Section*
   120    121   Detektor
   121    122   \end_layout
   122    123   
   123    124   \begin_layout Standard
   124         -Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT
          125  +Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT,
   125    126    wie für DTMF-Empfänger in 
   126    127   \begin_inset CommandInset citation
   127    128   LatexCommand cite
   128    129   key "key-10"
   129    130   
   130    131   \end_inset
   131    132   
   132    133    dargestellt 
          134  +\series bold
          135  +(Abb.
   133    136   \begin_inset CommandInset ref
   134    137   LatexCommand ref
   135    138   reference "Abb.1"
   136    139   
   137    140   \end_inset
   138    141   
          142  +)
          143  +\series default
   139    144   .
   140    145    Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts dargestellt
   141    146   e vereinfachte Variante ohne Berechnung der Wurzel in vielen Anwendungen
   142    147    ausreichend.
   143         - Wegen der Integrate & Dump Stufe arbeitet diese Implementierung nicht kontinuie
          148  + Wegen der Integrate-&-Dump-Stufe arbeitet diese Implementierung nicht kontinuie
   144    149   rlich, sondern liefert nur am Ende eines Datenblocks einen Ausgangswert.
   145    150    Diese Eigenschaft hat auch der Goertzel-Algorithmus 
          151  +\series bold
          152  +(Abb.
   146    153   \begin_inset CommandInset ref
   147    154   LatexCommand ref
   148    155   reference "Abb.2"
   149    156   
   150    157   \end_inset
   151    158   
   152         -, selbst wenn seine Ähnlichkeit mit einem IIR-Filter 
   153         -\begin_inset CommandInset citation
   154         -LatexCommand cite
   155         -key "key-14"
   156         -
   157         -\end_inset
   158         -
   159         - ersteinmal anderes vermuten läßt.
   160         -\end_layout
   161         -
   162         -\begin_layout Section*
   163         -Goertzel
   164         -\end_layout
   165         -
   166         -\begin_layout Standard
   167         -Wegen der komplexen Rechnung müßte man für ihn eigentlich zwei Filter verwenden
   168         - 
   169         -\begin_inset CommandInset ref
   170         -LatexCommand ref
   171         -reference "Abb.3"
   172         -
   173         -\end_inset
   174         -
   175         -.
   176         - Die linke Hälfte des Filters ist aber identisch, also findet sich in der
   177         - Literatur meist eine kompaktere Darstellung 
   178         -\begin_inset CommandInset ref
   179         -LatexCommand ref
   180         -reference "Abb.4"
   181         -
   182         -\end_inset
   183         -
   184         -.
   185         - Man beachte dann aber, daß die rechte Hälfte komplexes Datenformat hat.
   186         - Dieser Teil wird aber nur einmal, am Ende des Datenblocks berechnet.
   187         - 
   188         -\end_layout
   189         -
   190         -\begin_layout Section*
   191         -Allpol
   192         -\end_layout
   193         -
   194         -\begin_layout Standard
   195         -Die linke Hälfte arbeitet wie bei einem Filter gewohnt kontinuierlich über
   196         - jedes Sample.
   197         - Bei einem DTMF-Empfänger der als A/D-Wandler ein PCM-Codec verwendet ist
   198         - die Samplerate fest fs=8kHz.
   199         - Die Frequenzen der 8 DTMF-Töne sind auch vorgegeben.
   200         - Variabel ist dann also nur N die Zahl der Samples im Datenblock.
   201         - Große Werte wären wegen der Schmalbandig-keit besser.
   202         - Für k sind aber ganzzahlige Werte nötig.
   203         - Mit geringer Frequenzabweichung für alle 8 Frequenzen.
   204         - Das schränkt die Möglichkeiten ein.
   205         - Der übliche Wert für fs=8kHz ist dann N=205 ( Tabelle 1 ) 
   206         -\begin_inset CommandInset citation
   207         -LatexCommand cite
   208         -key "key-4"
   209         -
   210         -\end_inset
   211         -
   212         -, obwohl auch N=105 schon vorgeschlagen wurde ( Tabelle 2 ).
   213         - Man kann auch auf fs=4kHz reduzieren, dann empfiehlt sich N=106 
   214         -\begin_inset CommandInset citation
   215         -LatexCommand cite
   216         -key "key-5"
   217         -
   218         -\end_inset
   219         -
   220         -.
   221         - 
   222         -\end_layout
   223         -
   224         -\begin_layout Standard
   225         -Die Koeffizienten sind so gewählt, daß dieses Filter auf der Stabilitätsgrenze
   226         - liegt und damit extrem schmalbandig ist.
   227         - Da der Faktor „a1“ als Festkommazahl nicht exakt darstellbar ist könnte
   228         - das Signal entweder Richtung Übersteuerung driften oder abklingen.
   229         - Aber die Quantisierung der Daten die bei digitalen Filtern meist für unschöne
   230         - Grenzzyklen sorgt wirkt sich hier meist stabilisierend auf die Schwingung
   231         - aus.
   232         - Solange das Signal nicht innerhalb der N=205 Samples wegdriftet ist die
   233         - Funktion nicht beeinträchtigt.
   234         - 
   235         -\end_layout
   236         -
   237         -\begin_layout Section*
   238         -Squared Magnitude 
   239         -\end_layout
   240         -
   241         -\begin_layout Standard
   242         -Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung der
   243         - Zeigerlänge kombiniert werden erhebliche Vereinfachungen möglich ( Bild
   244         - 5 ).
   245         - Nach Ausgabe des Ergebnisses müssen die beiden Speicher des Filters auf
   246         - Null gesetzt werden und der nächste Datenblock kann beginnen.
   247         - 
   248         -\end_layout
   249         -
   250         -\begin_layout Section*
   251         -Nachverarbeitung
   252         -\end_layout
   253         -
   254         -\begin_layout Standard
   255         -Da der Datenblock mit einem Rechteckfenster gewichtet wurde ist der Frequenzgang
   256         - wellig und für Oberwellen etwas durchlässig ( Bild 6 ).
   257         - Für viele Anwendungen genügt deren Bedämpfung jedoch.
   258         - Bei DTMF-Signalen z.B.
   259         - sind kaum Oberwellen vorhanden.
   260         - 
   261         -\end_layout
   262         -
   263         -\begin_layout Standard
   264         -Wenn das Eingangssignal z.B.
   265         - durch ALC einen konstanten Pegel hat genügt der Vergleich mit einer festen
   266         - Schaltschwelle um eine Frequenz zu erkennen ( Bild 7a ).
   267         - Andernfalls kann man mit breit- bandigen Energiedetektor den Eingangspegel
   268         - bestimmen und daraus die Schaltschwelle ableiten ( Bild 7b ).
   269         - 
   270         -\end_layout
   271         -
   272         -\begin_layout Standard
   273         -Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel
   274         - verwendet 
   275         -\begin_inset CommandInset citation
   276         -LatexCommand cite
   277         -key "key-3"
   278         -
   279         -\end_inset
   280         -
   281         - ( Bild 7c ).
   282         - Da Sprache im Gegensatz zu DTMF reichlich Oberwellen hat erleichtert der
   283         - zusätzliche Detektor die Unterscheidung beider Signale.
   284         - 
   285         -\end_layout
   286         -
   287         -\begin_layout Section*
   288         -Und nun zur Implementierung
   289         -\end_layout
   290         -
   291         -\begin_layout Standard
   292         -Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24 verwendet.
   293         - fs/ft ist dann ca.
   294         - 8,5 und die Konstante a1 hat den Wert 1,4712.
   295         - 
   296         -\end_layout
   297         -
   298         -\begin_layout Standard
   299         -Wenn man diesen Allpol mit Puls anregt wird er dauerhaft auf der Sinusfrequenz,
   300         - d.h mit ca.
   301         - 8,5 Samples Periode, weiterschwingen.
   302         - 
   303         -\end_layout
   304         -
   305         -\begin_layout Section*
   306         -Sinusgenerator
   307         -\end_layout
   308         -
   309         -\begin_layout Standard
   310         -Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem
   311         - Bereich ( Bild 10 ).
   312         - Gerade Längen mit 7 ...
   313         - 20 Samples enthalten eine einzelne Sinuskurve.
   314         - Eine Tabelle mit 17 Samples die zwei Sinusperioden enthält kann krumme
   315         - Werte wie 8,5 darstellen.
   316         - Die Tabellen werden hier mit +/-7FFF vollausgesteuerte verwendet.
   317         - Die 16 Bit Dynamik im Allpol-Filter reicht dann nur recht knapp aus.
   318         - Es empfiehlt sich wie in 
          159  +)
          160  +\series default
          161  +, selbst wenn seine Ähnlichkeit mit einem IIR-Filter 
   319    162   \begin_inset CommandInset citation
   320    163   LatexCommand cite
   321    164   key "key-12"
   322    165   
   323    166   \end_inset
   324    167   
   325         - ein 32 Bit Akkumulator der auf 40 Bit erweitert ist und damit Überlauf
   326         - erkennt und Sättigung durchführen kann.
   327         - 
   328         -\end_layout
   329         -
   330         -\begin_layout Standard
   331         -Nach Tests wurde der Vorteiler am Eingang ( Bild 8 ) auf 2^7 ausgelegt.
   332         - Dämpft man noch mehr wird intern ungenügend ausgesteuert.
   333         - Während mit 2^6 die Overflows bereits Nebenmaxima verschlechtern ( Bild
   334         - 10 ).
   335         - Zwar wird der Überlauf durch die Sättigungslogik entschärft, aber eine
   336         - leichte Verschlechterung des Meßwerts tritt trotzdem ein, sodaß er nicht
   337         - unbegrenzt tolerierbar ist.
   338         - Man sollte also in realen Anwendungen anhand anliegendem Pegel und Frequenzgemi
   339         -sch untersuchen wie sich intern die Aussteuerung des Allpols verhält.
   340         - Die abschliessende Berechnung der Zeigerlängen ( Bild 9 ) ist zwar etwas
   341         - umfänglich, aber technisch unproblematisch.
   342         - 
   343         -\end_layout
   344         -
   345         -\begin_layout Section*
   346         -Timing
   347         -\end_layout
   348         -
   349         -\begin_layout Standard
   350         -Das Programm belegt in Assembler auf einem 2,45 MHz MC68HC908 ca.
   351         - 400 Bytes FLASH.
   352         - Der Allpol benötigt 220usec pro Sample, die folgende Berechnung der Zeigerlänge
   353         - 350usec.
   354         - Wenn der Allpol z.B.
   355         - in einem 250usec Timerinterrupt berechnet wird ( Bild 11 ), wird man dort
   356         - auch die abschliessende Berechnung der Ausgabewerte vornehmen.
   357         - Die Unterbrechung von 1...
   358         - 2 Samples ist bezogen auf die Blocklänge N=205 unerheblich.
   359         - 
   360         -\end_layout
   361         -
   362         -\begin_layout Section*
   363         -Guard-Bits
   364         -\end_layout
   365         -
   366         -\begin_layout Standard
   367         -Für Simulation und Debugging des Algorithmus ist oft ein portable Variante
   368         - in Hochsprache wünschenswert.
   369         - Es ist in Assembler einfach an das 32 bit Datenwort 8 Bit anzuhängen um
   370         - einen überlaufsicheren 40 Bit Akkumulator zu erhalten.
   371         - In Hochsprache teilt man die Summierung in eine 32 Bit Addition bei der
   372         - das oberste Bit gelöscht ist ( Bild 12 ), sodaß man Carry detektieren kann.
   373         - Gefolgt von zwei Additionen für die oberen 16 Bit und das Carrybit.
   374         - 
          168  + ersteinmal anderes vermuten lässt.
   375    169   \end_layout
   376    170   
   377    171   \begin_layout Standard
   378    172   \begin_inset Float figure
   379    173   wide false
   380    174   sideways false
   381    175   status collapsed
   382    176   
   383    177   \begin_layout Plain Layout
          178  +\align center
   384    179   \begin_inset Graphics
   385         -	filename Bild1.eps
          180  +	filename deliano-goertzel/Bild1.eps
          181  +	scale 75
   386    182   
   387    183   \end_inset
   388    184   
   389    185   
   390    186   \begin_inset Caption
   391    187   
   392    188   \begin_layout Plain Layout
................................................................................
   400    196   \end_layout
   401    197   
   402    198   \end_inset
   403    199   
   404    200   
   405    201   \end_layout
   406    202   
   407         -\begin_layout Plain Layout
   408         -
   409         -\end_layout
   410         -
   411    203   \end_inset
   412    204   
   413    205   
   414    206   \end_layout
   415    207   
   416    208   \begin_layout Standard
   417    209   \begin_inset Float figure
   418    210   wide false
   419    211   sideways false
   420    212   status collapsed
   421    213   
   422    214   \begin_layout Plain Layout
          215  +\align center
   423    216   \begin_inset Graphics
   424         -	filename Bild2.eps
          217  +	filename deliano-goertzel/Bild2.eps
   425    218   
   426    219   \end_inset
   427    220   
   428    221   
   429    222   \begin_inset Caption
   430    223   
   431    224   \begin_layout Plain Layout
................................................................................
   439    232   \end_layout
   440    233   
   441    234   \end_inset
   442    235   
   443    236   
   444    237   \end_layout
   445    238   
   446         -\begin_layout Plain Layout
          239  +\end_inset
          240  +
   447    241   
   448    242   \end_layout
   449    243   
          244  +\begin_layout Section*
          245  +Goertzel
          246  +\end_layout
          247  +
          248  +\begin_layout Standard
          249  +Wegen der komplexen Rechnung müsste man für ihn eigentlich zwei Filter verwenden
          250  + 
          251  +\series bold
          252  +(Abb.
          253  +\begin_inset CommandInset ref
          254  +LatexCommand ref
          255  +reference "Abb.3"
          256  +
   450    257   \end_inset
   451    258   
          259  +)
          260  +\series default
          261  + .
          262  + Die linke Hälfte des Filters ist aber identisch, also findet sich in der
          263  + Literatur meist eine kompaktere Darstellung 
          264  +\series bold
          265  +(Abb.
          266  +\begin_inset CommandInset ref
          267  +LatexCommand ref
          268  +reference "Abb.4"
   452    269   
          270  +\end_inset
          271  +
          272  +)
          273  +\series default
          274  +.
          275  + Man beachte dann aber, dass die rechte Hälfte komplexes Datenformat hat.
          276  + Dieser Teil wird aber nur einmal, am Ende des Datenblocks, berechnet.
          277  + 
   453    278   \end_layout
   454    279   
   455    280   \begin_layout Standard
   456    281   \begin_inset Float figure
   457    282   wide false
   458    283   sideways false
   459    284   status collapsed
   460    285   
   461    286   \begin_layout Plain Layout
          287  +\align center
   462    288   \begin_inset Graphics
   463         -	filename Bild3.eps
          289  +	filename deliano-goertzel/Bild3.eps
          290  +	scale 75
   464    291   
   465    292   \end_inset
   466    293   
   467    294   
   468    295   \begin_inset Caption
   469    296   
   470    297   \begin_layout Plain Layout
................................................................................
   478    305   \end_layout
   479    306   
   480    307   \end_inset
   481    308   
   482    309   
   483    310   \end_layout
   484    311   
   485         -\begin_layout Plain Layout
   486         -
   487         -\end_layout
   488         -
   489    312   \end_inset
   490    313   
   491    314   
   492    315   \end_layout
   493    316   
   494    317   \begin_layout Standard
   495    318   \begin_inset Float figure
   496    319   wide false
   497    320   sideways false
   498    321   status collapsed
   499    322   
   500    323   \begin_layout Plain Layout
          324  +\align center
          325  +\begin_inset Graphics
          326  +	filename deliano-goertzel/Bild4.eps
          327  +
          328  +\end_inset
          329  +
   501    330   
   502    331   \end_layout
   503    332   
   504    333   \begin_layout Plain Layout
   505    334   \begin_inset Caption
   506    335   
   507    336   \begin_layout Plain Layout
................................................................................
   515    344   \end_layout
   516    345   
   517    346   \end_inset
   518    347   
   519    348   
   520    349   \end_layout
   521    350   
   522         -\begin_layout Plain Layout
   523         -
   524         -\end_layout
   525         -
   526         -\end_inset
   527         -
   528         -
          351  +\end_inset
          352  +
          353  +
          354  +\end_layout
          355  +
          356  +\begin_layout Section*
          357  +Allpol
          358  +\end_layout
          359  +
          360  +\begin_layout Standard
          361  +Die linke Hälfte arbeitet, wie bei einem Filter gewohnt, kontinuierlich
          362  + über jedes Sample.
          363  + Bei einem DTMF-Empfänger, der als A/D-Wandler ein PCM-Codec verwendet,
          364  + ist die Samplerate fest fs=8kHz.
          365  + Die Frequenzen der 8 DTMF-Töne sind auch vorgegeben.
          366  + Variabel ist dann also nur N, die Zahl der Samples im Datenblock.
          367  + Große Werte wären wegen der Schmalbandigkeit besser.
          368  + Für k sind aber ganzzahlige Werte nötig.
          369  + Mit geringer Frequenzabweichung für alle 8 Frequenzen.
          370  + Das schränkt die Möglichkeiten ein.
          371  + Der übliche Wert für fs=8kHz ist dann N=205 
          372  +\series bold
          373  +(Tab.
          374  +\begin_inset CommandInset ref
          375  +LatexCommand ref
          376  +reference "tab-1"
          377  +
          378  +\end_inset
          379  +
          380  +)
          381  +\series default
          382  + 
          383  +\begin_inset CommandInset citation
          384  +LatexCommand cite
          385  +key "key-4"
          386  +
          387  +\end_inset
          388  +
          389  +, obwohl auch N=105 schon vorgeschlagen wurde 
          390  +\series bold
          391  +(Tab.
          392  +\begin_inset CommandInset ref
          393  +LatexCommand ref
          394  +reference "tab-2"
          395  +
          396  +\end_inset
          397  +
          398  +)
          399  +\series default
          400  +.
          401  + Man kann auch auf fs=4kHz reduzieren, dann empfiehlt sich N=106 
          402  +\begin_inset CommandInset citation
          403  +LatexCommand cite
          404  +key "key-5"
          405  +
          406  +\end_inset
          407  +
          408  +.
          409  + 
          410  +\end_layout
          411  +
          412  +\begin_layout Standard
          413  +Die Koeffizienten sind so gewählt, dass dieses Filter auf der Stabilitätsgrenze
          414  + liegt und damit extrem schmalbandig ist.
          415  + Da der Faktor „a1“ als Festkommazahl nicht exakt darstellbar ist, könnte
          416  + das Signal entweder Richtung Übersteuerung driften oder abklingen.
          417  + Aber die Quantisierung der Daten, die bei digitalen Filtern meist für unschöne
          418  + Grenzzyklen sorgt, wirkt sich hier meist stabilisierend auf die Schwingung
          419  + aus.
          420  + Solange das Signal nicht innerhalb der N=205 Samples wegdriftet, ist die
          421  + Funktion nicht beeinträchtigt.
          422  + 
          423  +\end_layout
          424  +
          425  +\begin_layout Standard
          426  +\begin_inset Float table
          427  +wide false
          428  +sideways false
          429  +status collapsed
          430  +
          431  +\begin_layout Plain Layout
          432  +\align center
          433  +\begin_inset Caption
          434  +
          435  +\begin_layout Plain Layout
          436  +\begin_inset CommandInset label
          437  +LatexCommand label
          438  +name "tab-1"
          439  +
          440  +\end_inset
          441  +
          442  +Parameter DTMF-Decoder [4] 
          443  +\end_layout
          444  +
          445  +\end_inset
          446  +
          447  +N=205 fs=8kHz 
          448  +\end_layout
          449  +
          450  +\begin_layout Plain Layout
          451  +\align center
          452  +\begin_inset Tabular
          453  +<lyxtabular version="3" rows="9" columns="3">
          454  +<features tabularvalignment="middle">
          455  +<column alignment="center" valignment="top" width="0">
          456  +<column alignment="center" valignment="top" width="0">
          457  +<column alignment="center" valignment="top" width="0">
          458  +<row>
          459  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          460  +\begin_inset Text
          461  +
          462  +\begin_layout Plain Layout
          463  +ft=
          464  +\end_layout
          465  +
          466  +\end_inset
          467  +</cell>
          468  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          469  +\begin_inset Text
          470  +
          471  +\begin_layout Plain Layout
          472  +k=
          473  +\end_layout
          474  +
          475  +\end_inset
          476  +</cell>
          477  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
          478  +\begin_inset Text
          479  +
          480  +\begin_layout Plain Layout
          481  +a1=
          482  +\end_layout
          483  +
          484  +\end_inset
          485  +</cell>
          486  +</row>
          487  +<row>
          488  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          489  +\begin_inset Text
          490  +
          491  +\begin_layout Plain Layout
          492  +697Hz 
          493  +\end_layout
          494  +
          495  +\end_inset
          496  +</cell>
          497  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          498  +\begin_inset Text
          499  +
          500  +\begin_layout Plain Layout
          501  +18
          502  +\end_layout
          503  +
          504  +\end_inset
          505  +</cell>
          506  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          507  +\begin_inset Text
          508  +
          509  +\begin_layout Plain Layout
          510  +27906
          511  +\end_layout
          512  +
          513  +\end_inset
          514  +</cell>
          515  +</row>
          516  +<row>
          517  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          518  +\begin_inset Text
          519  +
          520  +\begin_layout Plain Layout
          521  +770Hz
          522  +\end_layout
          523  +
          524  +\end_inset
          525  +</cell>
          526  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          527  +\begin_inset Text
          528  +
          529  +\begin_layout Plain Layout
          530  +20
          531  +\end_layout
          532  +
          533  +\end_inset
          534  +</cell>
          535  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          536  +\begin_inset Text
          537  +
          538  +\begin_layout Plain Layout
          539  +26802
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          545  +<row>
          546  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          547  +\begin_inset Text
          548  +
          549  +\begin_layout Plain Layout
          550  +852Hz
          551  +\end_layout
          552  +
          553  +\end_inset
          554  +</cell>
          555  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          556  +\begin_inset Text
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          558  +\begin_layout Plain Layout
          559  +22
          560  +\end_layout
          561  +
          562  +\end_inset
          563  +</cell>
          564  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          565  +\begin_inset Text
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          567  +\begin_layout Plain Layout
          568  +25597
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          570  +
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          572  +</cell>
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          574  +<row>
          575  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          576  +\begin_inset Text
          577  +
          578  +\begin_layout Plain Layout
          579  +941Hz
          580  +\end_layout
          581  +
          582  +\end_inset
          583  +</cell>
          584  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          585  +\begin_inset Text
          586  +
          587  +\begin_layout Plain Layout
          588  +24
          589  +\end_layout
          590  +
          591  +\end_inset
          592  +</cell>
          593  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          594  +\begin_inset Text
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          596  +\begin_layout Plain Layout
          597  +24295
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          599  +
          600  +\end_inset
          601  +</cell>
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          603  +<row>
          604  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          605  +\begin_inset Text
          606  +
          607  +\begin_layout Plain Layout
          608  +1209Hz
          609  +\end_layout
          610  +
          611  +\end_inset
          612  +</cell>
          613  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          614  +\begin_inset Text
          615  +
          616  +\begin_layout Plain Layout
          617  +31
          618  +\end_layout
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          624  +
          625  +\begin_layout Plain Layout
          626  +19057
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          628  +
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          630  +</cell>
          631  +</row>
          632  +<row>
          633  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          634  +\begin_inset Text
          635  +
          636  +\begin_layout Plain Layout
          637  +1336Hz
          638  +\end_layout
          639  +
          640  +\end_inset
          641  +</cell>
          642  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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          645  +\begin_layout Plain Layout
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          647  +\end_layout
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          649  +\end_inset
          650  +</cell>
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          654  +\begin_layout Plain Layout
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          661  +<row>
          662  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          663  +\begin_inset Text
          664  +
          665  +\begin_layout Plain Layout
          666  +1477Hz
          667  +\end_layout
          668  +
          669  +\end_inset
          670  +</cell>
          671  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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          673  +
          674  +\begin_layout Plain Layout
          675  +38
          676  +\end_layout
          677  +
          678  +\end_inset
          679  +</cell>
          680  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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          683  +\begin_layout Plain Layout
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          690  +<row>
          691  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          692  +\begin_inset Text
          693  +
          694  +\begin_layout Plain Layout
          695  +1633Hz
          696  +\end_layout
          697  +
          698  +\end_inset
          699  +</cell>
          700  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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          702  +
          703  +\begin_layout Plain Layout
          704  +42
          705  +\end_layout
          706  +
          707  +\end_inset
          708  +</cell>
          709  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
          710  +\begin_inset Text
          711  +
          712  +\begin_layout Plain Layout
          713  +9166
          714  +\end_layout
          715  +
          716  +\end_inset
          717  +</cell>
          718  +</row>
          719  +</lyxtabular>
          720  +
          721  +\end_inset
          722  +
          723  +
          724  +\end_layout
          725  +
          726  +\end_inset
          727  +
          728  +
          729  +\end_layout
          730  +
          731  +\begin_layout Standard
          732  +\begin_inset Float table
          733  +wide false
          734  +sideways false
          735  +status collapsed
          736  +
          737  +\begin_layout Plain Layout
          738  +\align center
          739  +\begin_inset Caption
          740  +
          741  +\begin_layout Plain Layout
          742  +\begin_inset CommandInset label
          743  +LatexCommand label
          744  +name "tab-2"
          745  +
          746  +\end_inset
          747  +
          748  +Parameter DTMF-Decoder [5] 
          749  +\end_layout
          750  +
          751  +\end_inset
          752  +
          753  +N=105 fs=8kHz
          754  +\end_layout
          755  +
          756  +\begin_layout Plain Layout
          757  +\align center
          758  +\begin_inset Tabular
          759  +<lyxtabular version="3" rows="9" columns="2">
          760  +<features tabularvalignment="middle">
          761  +<column alignment="center" valignment="top" width="0">
          762  +<column alignment="center" valignment="top" width="0">
          763  +<row>
          764  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          765  +\begin_inset Text
          766  +
          767  +\begin_layout Plain Layout
          768  +ft=
          769  +\end_layout
          770  +
          771  +\end_inset
          772  +</cell>
          773  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
          774  +\begin_inset Text
          775  +
          776  +\begin_layout Plain Layout
          777  +k=
          778  +\end_layout
          779  +
          780  +\end_inset
          781  +</cell>
          782  +</row>
          783  +<row>
          784  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          785  +\begin_inset Text
          786  +
          787  +\begin_layout Plain Layout
          788  +697Hz
          789  +\end_layout
          790  +
          791  +\end_inset
          792  +</cell>
          793  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          794  +\begin_inset Text
          795  +
          796  +\begin_layout Plain Layout
          797  +9
          798  +\end_layout
          799  +
          800  +\end_inset
          801  +</cell>
          802  +</row>
          803  +<row>
          804  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          805  +\begin_inset Text
          806  +
          807  +\begin_layout Plain Layout
          808  +770Hz
          809  +\end_layout
          810  +
          811  +\end_inset
          812  +</cell>
          813  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          814  +\begin_inset Text
          815  +
          816  +\begin_layout Plain Layout
          817  +10
          818  +\end_layout
          819  +
          820  +\end_inset
          821  +</cell>
          822  +</row>
          823  +<row>
          824  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          825  +\begin_inset Text
          826  +
          827  +\begin_layout Plain Layout
          828  +852Hz
          829  +\end_layout
          830  +
          831  +\end_inset
          832  +</cell>
          833  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          834  +\begin_inset Text
          835  +
          836  +\begin_layout Plain Layout
          837  +11
          838  +\end_layout
          839  +
          840  +\end_inset
          841  +</cell>
          842  +</row>
          843  +<row>
          844  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          845  +\begin_inset Text
          846  +
          847  +\begin_layout Plain Layout
          848  +941Hz
          849  +\end_layout
          850  +
          851  +\end_inset
          852  +</cell>
          853  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          854  +\begin_inset Text
          855  +
          856  +\begin_layout Plain Layout
          857  +12
          858  +\end_layout
          859  +
          860  +\end_inset
          861  +</cell>
          862  +</row>
          863  +<row>
          864  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          865  +\begin_inset Text
          866  +
          867  +\begin_layout Plain Layout
          868  +1209Hz
          869  +\end_layout
          870  +
          871  +\end_inset
          872  +</cell>
          873  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          874  +\begin_inset Text
          875  +
          876  +\begin_layout Plain Layout
          877  +16
          878  +\end_layout
          879  +
          880  +\end_inset
          881  +</cell>
          882  +</row>
          883  +<row>
          884  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          885  +\begin_inset Text
          886  +
          887  +\begin_layout Plain Layout
          888  +1336Hz
          889  +\end_layout
          890  +
          891  +\end_inset
          892  +</cell>
          893  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          894  +\begin_inset Text
          895  +
          896  +\begin_layout Plain Layout
          897  +18
          898  +\end_layout
          899  +
          900  +\end_inset
          901  +</cell>
          902  +</row>
          903  +<row>
          904  +<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
          905  +\begin_inset Text
          906  +
          907  +\begin_layout Plain Layout
          908  +1477Hz
          909  +\end_layout
          910  +
          911  +\end_inset
          912  +</cell>
          913  +<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
          914  +\begin_inset Text
          915  +
          916  +\begin_layout Plain Layout
          917  +19
          918  +\end_layout
          919  +
          920  +\end_inset
          921  +</cell>
          922  +</row>
          923  +<row>
          924  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
          925  +\begin_inset Text
          926  +
          927  +\begin_layout Plain Layout
          928  +1633Hz
          929  +\end_layout
          930  +
          931  +\end_inset
          932  +</cell>
          933  +<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
          934  +\begin_inset Text
          935  +
          936  +\begin_layout Plain Layout
          937  +21
          938  +\end_layout
          939  +
          940  +\end_inset
          941  +</cell>
          942  +</row>
          943  +</lyxtabular>
          944  +
          945  +\end_inset
          946  +
          947  +
          948  +\end_layout
          949  +
          950  +\end_inset
          951  +
          952  +
          953  +\end_layout
          954  +
          955  +\begin_layout Section*
          956  +Squared Magnitude 
          957  +\end_layout
          958  +
          959  +\begin_layout Standard
          960  +Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung der
          961  + Zeigerlänge kombiniert, werden erhebliche Vereinfachungen möglich 
          962  +\series bold
          963  +(Abb.
          964  +\begin_inset CommandInset ref
          965  +LatexCommand ref
          966  +reference "Abb.5"
          967  +
          968  +\end_inset
          969  +
          970  +)
          971  +\series default
          972  +.
          973  + Nach Ausgabe des Ergebnisses müssen die beiden Speicher des Filters auf
          974  + null gesetzt werden und der nächste Datenblock kann beginnen.
          975  + 
   529    976   \end_layout
   530    977   
   531    978   \begin_layout Standard
   532    979   \begin_inset Float figure
   533    980   wide false
   534    981   sideways false
   535    982   status collapsed
   536    983   
   537    984   \begin_layout Plain Layout
          985  +\align center
   538    986   \begin_inset Graphics
   539         -	filename Bild5.eps
          987  +	filename deliano-goertzel/Bild5.eps
   540    988   
   541    989   \end_inset
   542    990   
   543    991   
   544    992   \begin_inset Caption
   545    993   
   546    994   \begin_layout Plain Layout
................................................................................
   558   1006   
   559   1007   \end_layout
   560   1008   
   561   1009   \end_inset
   562   1010   
   563   1011   
   564   1012   \end_layout
         1013  +
         1014  +\begin_layout Section*
         1015  +Nachverarbeitung
         1016  +\end_layout
         1017  +
         1018  +\begin_layout Standard
         1019  +Da der Datenblock mit einem Rechteckfenster gewichtet wurde, ist der Frequenzgan
         1020  +g wellig und für Oberwellen etwas durchlässig 
         1021  +\series bold
         1022  +(Abb.
         1023  +\begin_inset CommandInset ref
         1024  +LatexCommand ref
         1025  +reference "Abb.6"
         1026  +
         1027  +\end_inset
         1028  +
         1029  +)
         1030  +\series default
         1031  +.
         1032  + Für viele Anwendungen genügt deren Bedämpfung jedoch.
         1033  + Bei DTMF-Signalen z.B.
         1034  + sind kaum Oberwellen vorhanden.
         1035  + 
         1036  +\end_layout
   565   1037   
   566   1038   \begin_layout Standard
   567   1039   \begin_inset Float figure
   568   1040   wide false
   569   1041   sideways false
   570   1042   status collapsed
   571   1043   
   572   1044   \begin_layout Plain Layout
   573         -
   574         -\end_layout
   575         -
   576         -\begin_layout Plain Layout
         1045  +\align center
   577   1046   \begin_inset Graphics
   578         -	filename Bild6.eps
         1047  +	filename deliano-goertzel/Bild6.eps
   579   1048   
   580   1049   \end_inset
   581   1050   
   582   1051   
   583   1052   \begin_inset Caption
   584   1053   
   585   1054   \begin_layout Plain Layout
................................................................................
   593   1062   \end_layout
   594   1063   
   595   1064   \end_inset
   596   1065   
   597   1066   
   598   1067   \end_layout
   599   1068   
   600         -\begin_layout Plain Layout
   601         -
   602         -\end_layout
   603         -
   604         -\end_inset
   605         -
   606         -
         1069  +\end_inset
         1070  +
         1071  +
         1072  +\end_layout
         1073  +
         1074  +\begin_layout Standard
         1075  +Wenn das Eingangssignal z.B.
         1076  + durch ALC einen konstanten Pegel hat, genügt der Vergleich mit einer festen
         1077  + Schaltschwelle, um eine Frequenz zu erkennen 
         1078  +\series bold
         1079  +(Abb.
         1080  +\begin_inset CommandInset ref
         1081  +LatexCommand ref
         1082  +reference "Abb.7"
         1083  +
         1084  +\end_inset
         1085  +
         1086  +a)
         1087  +\series default
         1088  +.
         1089  + Andernfalls kann man mit breitbandigen Energiedetektor den Eingangspegel
         1090  + bestimmen und daraus die Schaltschwelle ableiten 
         1091  +\series bold
         1092  +(Abb.
         1093  +\begin_inset CommandInset ref
         1094  +LatexCommand ref
         1095  +reference "Abb.7"
         1096  +
         1097  +\end_inset
         1098  +
         1099  +b)
         1100  +\series default
         1101  +.
         1102  + 
         1103  +\end_layout
         1104  +
         1105  +\begin_layout Standard
         1106  +Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel
         1107  + verwendet 
         1108  +\begin_inset CommandInset citation
         1109  +LatexCommand cite
         1110  +key "key-3"
         1111  +
         1112  +\end_inset
         1113  +
         1114  + 
         1115  +\series bold
         1116  +(Abb.
         1117  +\begin_inset CommandInset ref
         1118  +LatexCommand ref
         1119  +reference "Abb.7"
         1120  +
         1121  +\end_inset
         1122  +
         1123  +c)
         1124  +\series default
         1125  +.
         1126  + Da Sprache im Gegensatz zu DTMF reichlich Oberwellen hat, erleichtert der
         1127  + zusätzliche Detektor die Unterscheidung beider Signale.
         1128  + 
   607   1129   \end_layout
   608   1130   
   609   1131   \begin_layout Standard
   610   1132   \begin_inset Float figure
   611   1133   wide false
   612   1134   sideways false
   613   1135   status collapsed
   614   1136   
   615   1137   \begin_layout Plain Layout
         1138  +\align center
   616   1139   \begin_inset Graphics
   617         -	filename Bild7.eps
         1140  +	filename deliano-goertzel/Bild7.eps
   618   1141   
   619   1142   \end_inset
   620   1143   
   621   1144   
   622   1145   \begin_inset Caption
   623   1146   
   624   1147   \begin_layout Plain Layout
................................................................................
   636   1159   
   637   1160   \end_layout
   638   1161   
   639   1162   \end_inset
   640   1163   
   641   1164   
   642   1165   \end_layout
         1166  +
         1167  +\begin_layout Section*
         1168  +Und nun zur Implementierung
         1169  +\end_layout
         1170  +
         1171  +\begin_layout Standard
         1172  +Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24 verwendet.
         1173  + fs/ft ist dann ca.
         1174  + 8,5 und die Konstante a1 hat den Wert 1,4712.
         1175  + 
         1176  +\end_layout
         1177  +
         1178  +\begin_layout Standard
         1179  +Wenn man diesen Allpol mit Puls anregt, wird er dauerhaft auf der Sinusfrequenz,
         1180  + d.h mit ca.
         1181  + 8,5 Samples Periode, weiterschwingen.
         1182  + 
         1183  +\end_layout
         1184  +
         1185  +\begin_layout Section*
         1186  +Sinusgenerator
         1187  +\end_layout
         1188  +
         1189  +\begin_layout Standard
         1190  +Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem
         1191  + Bereich 
         1192  +\series bold
         1193  +(Abb.
         1194  +\begin_inset CommandInset ref
         1195  +LatexCommand ref
         1196  +reference "Abb.10"
         1197  +
         1198  +\end_inset
         1199  +
         1200  +)
         1201  +\series default
         1202  +.
         1203  + Gerade Längen mit 7 ...
         1204  + 20 Samples enthalten eine einzelne Sinuskurve.
         1205  + Eine Tabelle mit 17 Samples, die zwei Sinusperioden enthält, kann krumme
         1206  + Werte, wie 8,5 , darstellen.
         1207  + Die Tabellen werden hier mit +/-7FFF vollausgesteuert verwendet.
         1208  + Die 16-Bit-Dynamik im Allpol-Filter reicht dann nur recht knapp aus.
         1209  + Es empfiehlt sich, wie in 
         1210  +\begin_inset CommandInset citation
         1211  +LatexCommand cite
         1212  +key "key-12"
         1213  +
         1214  +\end_inset
         1215  +
         1216  +, ein 32-Bit-Akkumulator, der auf 40 Bit erweitert ist und damit Überlauf
         1217  + erkennt und Sättigung durchführen kann.
         1218  + 
         1219  +\end_layout
         1220  +
         1221  +\begin_layout Standard
         1222  +Nach Tests wurde der Vorteiler am Eingang 
         1223  +\series bold
         1224  +(Abb.
         1225  +\begin_inset CommandInset ref
         1226  +LatexCommand ref
         1227  +reference "Abb.8"
         1228  +
         1229  +\end_inset
         1230  +
         1231  +)
         1232  +\series default
         1233  + auf 2^7 ausgelegt.
         1234  + Dämpft man noch mehr, wird intern ungenügend ausgesteuert.
         1235  + Während mit 2^6 die Overflows bereits Nebenmaxima verschlechtern 
         1236  +\series bold
         1237  +(Abb.
         1238  +\begin_inset CommandInset ref
         1239  +LatexCommand ref
         1240  +reference "Abb.10"
         1241  +
         1242  +\end_inset
         1243  +
         1244  +)
         1245  +\series default
         1246  +.
         1247  + Zwar wird der Überlauf durch die Sättigungslogik entschärft, aber eine
         1248  + leichte Verschlechterung des Messwerts tritt trotzdem ein, sodass er nicht
         1249  + unbegrenzt tolerierbar ist.
         1250  + Man sollte also in realen Anwendungen anhand anliegendem Pegel und Frequenzgemi
         1251  +sch untersuchen, wie sich intern die Aussteuerung des Allpols verhält.
         1252  + Die abschließende Berechnung der Zeigerlängen 
         1253  +\series bold
         1254  +(Abb.
         1255  +\begin_inset CommandInset ref
         1256  +LatexCommand ref
         1257  +reference "Abb.9"
         1258  +
         1259  +\end_inset
         1260  +
         1261  +)
         1262  +\series default
         1263  + ist zwar etwas umfänglich, aber technisch unproblematisch.
         1264  + 
         1265  +\end_layout
   643   1266   
   644   1267   \begin_layout Standard
   645   1268   \begin_inset Float figure
   646   1269   wide false
   647   1270   sideways false
   648   1271   status collapsed
   649   1272   
   650   1273   \begin_layout Plain Layout
   651         -
   652         -\end_layout
   653         -
   654         -\begin_layout Plain Layout
         1274  +\align center
   655   1275   \begin_inset Graphics
   656         -	filename Bild8.eps
         1276  +	filename deliano-goertzel/Bild8.eps
   657   1277   
   658   1278   \end_inset
   659   1279   
   660   1280   
   661   1281   \begin_inset Caption
   662   1282   
   663   1283   \begin_layout Plain Layout
................................................................................
   671   1291   \end_layout
   672   1292   
   673   1293   \end_inset
   674   1294   
   675   1295   
   676   1296   \end_layout
   677   1297   
   678         -\begin_layout Plain Layout
   679         -
   680         -\end_layout
   681         -
   682   1298   \end_inset
   683   1299   
   684   1300   
   685   1301   \end_layout
   686   1302   
   687   1303   \begin_layout Standard
   688   1304   \begin_inset Float figure
   689   1305   wide false
   690   1306   sideways false
   691         -status collapsed
   692         -
   693         -\begin_layout Plain Layout
   694         -
   695         -\end_layout
         1307  +status open
   696   1308   
   697   1309   \begin_layout Plain Layout
   698   1310   \begin_inset Graphics
   699         -	filename Bild9.eps
         1311  +	filename deliano-goertzel/Bild9.eps
   700   1312   
   701   1313   \end_inset
   702   1314   
   703   1315   
   704   1316   \begin_inset Caption
   705   1317   
   706   1318   \begin_layout Plain Layout
................................................................................
   714   1326   \end_layout
   715   1327   
   716   1328   \end_inset
   717   1329   
   718   1330   
   719   1331   \end_layout
   720   1332   
   721         -\begin_layout Plain Layout
   722         -
   723         -\end_layout
   724         -
   725   1333   \end_inset
   726   1334   
   727   1335   
   728   1336   \end_layout
   729   1337   
   730   1338   \begin_layout Standard
   731   1339   \begin_inset Float figure
   732   1340   wide false
   733   1341   sideways false
   734   1342   status collapsed
   735   1343   
   736   1344   \begin_layout Plain Layout
   737         -(muss noch komponiert werden aus der 11wer Gruppe)
         1345  +\align center
         1346  +\begin_inset Graphics
         1347  +	filename deliano-goertzel/Bild10.eps
         1348  +	scale 75
         1349  +
         1350  +\end_inset
         1351  +
         1352  +
   738   1353   \begin_inset Caption
   739   1354   
   740   1355   \begin_layout Plain Layout
   741   1356   \begin_inset CommandInset label
   742   1357   LatexCommand label
   743   1358   name "Abb.10"
   744   1359   
................................................................................
   748   1363   \end_layout
   749   1364   
   750   1365   \end_inset
   751   1366   
   752   1367   
   753   1368   \end_layout
   754   1369   
   755         -\begin_layout Plain Layout
         1370  +\end_inset
         1371  +
   756   1372   
   757   1373   \end_layout
   758   1374   
         1375  +\begin_layout Section*
         1376  +Timing
         1377  +\end_layout
         1378  +
         1379  +\begin_layout Standard
         1380  +Das Programm belegt in Assembler auf einem 2,45-MHz-MC68HC908 ca.
         1381  + 400 Bytes FLASH.
         1382  + Der Allpol benötigt 220usec pro Sample, die folgende Berechnung der Zeigerlänge
         1383  + 350usec.
         1384  + Wenn der Allpol z.B.
         1385  + in einem 250usec-Timerinterrupt berechnet wird 
         1386  +\series bold
         1387  +(Abb.
         1388  +\begin_inset CommandInset ref
         1389  +LatexCommand ref
         1390  +reference "Abb.11"
         1391  +
   759   1392   \end_inset
   760   1393   
   761         -
         1394  +)
         1395  +\series default
         1396  +, wird man dort auch die abschließende Berechnung der Ausgabewerte vornehmen.
         1397  + Die Unterbrechung von 1...
         1398  + 2 Samples ist bezogen auf die Blocklänge N=205 unerheblich.
         1399  + 
   762   1400   \end_layout
   763   1401   
   764   1402   \begin_layout Standard
   765   1403   \begin_inset Float figure
   766   1404   wide false
   767   1405   sideways false
   768   1406   status collapsed
   769   1407   
   770   1408   \begin_layout Plain Layout
   771         -
   772         -\end_layout
   773         -
   774         -\begin_layout Plain Layout
         1409  +\align center
   775   1410   \begin_inset Graphics
   776         -	filename Bild11.eps
         1411  +	filename deliano-goertzel/Bild11.eps
   777   1412   
   778   1413   \end_inset
   779   1414   
   780   1415   
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         1443  +Für Simulation und Debugging des Algorithmus ist oft eine portable Variante
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         1445  + Es ist in Assembler einfach, an das 32-Bit-Datenwort 8 Bit anzuhängen,
         1446  + um einen überlaufsicheren 40-Bit-Akkumulator zu erhalten.
         1447  + In Hochsprache teilt man die Summierung in eine 32-Bit-Addition, bei der
         1448  + das oberste Bit gelöscht ist 
         1449  +\series bold
         1450  +(Abb.
         1451  +\begin_inset CommandInset ref
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   859         - Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“
         1513  +Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“
   860   1514    Amer.
   861   1515    Math.
   862   1516    Monthly Jan.
   863   1517    1958 
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   876   1529   Gerdsen, Kröger „Digitale Signalverarbeitung in der Nachrichtentechnik“
   877   1530    Springer 1993
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   891   1543    
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   904   1555   Chen "Modified Goertzel Algorithm in DTMF Detection Using the TMS320C80"
   905   1556    Application Note SPRA066 1996 
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   918   1568   Gay, Hartung, Smith „Algorithms for Multi-Channel DTMF Detection for the
   919   1569    WE DSP32 Family“ ICASSP 89 
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Changes to 2014-03/goertzel.tex.

     1      1   %% LyX 2.0.6 created this file.  For more info, see http://www.lyx.org/.
     2      2   %% Do not edit unless you really know what you are doing.
     3      3   \documentclass[ngerman]{article}
     4      4   \usepackage[T1]{fontenc}
     5      5   \usepackage[utf8x]{inputenc}
     6      6   \usepackage{graphicx}
            7  +
            8  +\makeatletter
            9  +
           10  +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands.
           11  +%%% Because html converters don't know tabularnewline
           12  +%\providecommand{\tabularnewline}{\\}
           13  +
           14  +\makeatother
           15  +
     7     16   \usepackage{babel}
     8     17   \begin{document}
     9     18   
    10     19   \title{Goertzel-Algorithmus}
    11     20   
    12     21   
    13     22   \author{Rafael Deliano}
    14     23   \maketitle
    15     24   \begin{abstract}
    16         -\emph{Eine Variante der diskreten Fourier Transformation ( DFT ) \cite{key-1}
           25  +\emph{Eine Variante der diskreten Fourier-Transformation (DFT) \cite{key-1},
    17     26   die besonders für DTMF-Empfänger verwendet wurde.}
    18     27   
    19         -\emph{Der Einsatz war ursprünglich auf DSPs beschränkt die dann aber
           28  +\emph{Der Einsatz war ursprünglich auf DSPs beschränkt, die dann aber
    20     29   24 - 32 PCM-Kanäle gleichzeitig verarbeiten konnten. Für nur einen
    21         -Kanal sind heute auch 16 Bit Controller mit Multiplizierer schnell
    22         -genug. Es ist damit zwar kein Verfahren das sich speziell für 8 Bit
    23         -CPUs eignet. Aber wenn man nur eine Frequenz erkennen will zumindest
    24         -nicht viel aufwendiger als ein Allpol-Filter \cite{key-12}.}
           30  +Kanal sind heute auch 16-Bit-Controller mit Multiplizierer schnell
           31  +genug. Es ist damit zwar kein Verfahren, das sich speziell für 8-Bit-CPUs
           32  +eignet, erreicht. Aber wenn man nur eine Frequenz erkennen will, ist
           33  +das zumindest nicht viel aufwändiger als ein Allpol-Filter \cite{key-11}.}
    25     34   \end{abstract}
    26     35   \begin{multicols}{2}
    27     36   
    28     37   
    29     38   \section*{Detektor}
    30     39   
    31     40   Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle
    32         -DFT wie für DTMF-Empfänger in \cite{key-10} dargestellt \ref{Abb.1}.
           41  +DFT, wie für DTMF-Empfänger in \cite{key-10} dargestellt \textbf{(Abb.\ref{Abb.1})}.
    33     42   Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts
    34     43   dargestellte vereinfachte Variante ohne Berechnung der Wurzel in vielen
    35         -Anwendungen ausreichend. Wegen der Integrate \& Dump Stufe arbeitet
           44  +Anwendungen ausreichend. Wegen der Integrate-\&-Dump-Stufe arbeitet
    36     45   diese Implementierung nicht kontinuierlich, sondern liefert nur am
    37     46   Ende eines Datenblocks einen Ausgangswert. Diese Eigenschaft hat auch
    38         -der Goertzel-Algorithmus \ref{Abb.2}, selbst wenn seine Ähnlichkeit
    39         -mit einem IIR-Filter \cite{key-14} ersteinmal anderes vermuten läßt.
           47  +der Goertzel-Algorithmus \textbf{(Abb.\ref{Abb.2})}, selbst wenn
           48  +seine Ähnlichkeit mit einem IIR-Filter \cite{key-12} ersteinmal anderes
           49  +vermuten lässt.
           50  +
           51  +\begin{figure}
           52  +\centering{}\includegraphics[scale=0.75]{2014-03/deliano-goertzel/Bild1}\caption{\label{Abb.1}DFT Tondetektor, optional reduziert auf squared magnitude }
           53  +\end{figure}
           54  +
           55  +
           56  +\begin{figure}
           57  +\centering{}\includegraphics{2014-03/deliano-goertzel/Bild2}\caption{\label{Abb.2}Eingangsstufe auf Goertzel geändert}
           58  +\end{figure}
           59  +
    40     60   
    41     61   
    42     62   \section*{Goertzel}
    43     63   
    44         -Wegen der komplexen Rechnung müßte man für ihn eigentlich zwei Filter
    45         -verwenden \ref{Abb.3}. Die linke Hälfte des Filters ist aber identisch,
    46         -also findet sich in der Literatur meist eine kompaktere Darstellung
    47         -\ref{Abb.4}. Man beachte dann aber, daß die rechte Hälfte komplexes
    48         -Datenformat hat. Dieser Teil wird aber nur einmal, am Ende des Datenblocks
    49         -berechnet. 
           64  +Wegen der komplexen Rechnung müsste man für ihn eigentlich zwei Filter
           65  +verwenden \textbf{(Abb.\ref{Abb.3})} . Die linke Hälfte des Filters
           66  +ist aber identisch, also findet sich in der Literatur meist eine kompaktere
           67  +Darstellung \textbf{(Abb.\ref{Abb.4})}. Man beachte dann aber, dass
           68  +die rechte Hälfte komplexes Datenformat hat. Dieser Teil wird aber
           69  +nur einmal, am Ende des Datenblocks, berechnet. 
           70  +
           71  +\begin{figure}
           72  +\centering{}\includegraphics[scale=0.75]{2014-03/deliano-goertzel/Bild3}\caption{\label{Abb.3}Goertzel unoptimiert}
           73  +\end{figure}
           74  +
           75  +
           76  +\begin{figure}
           77  +\begin{centering}
           78  +\includegraphics{2014-03/deliano-goertzel/Bild4}
           79  +\par\end{centering}
           80  +
           81  +\caption{\label{Abb.4}Kompaktere Darstellung, beide Ablaufphasen}
           82  +\end{figure}
           83  +
    50     84   
    51     85   
    52     86   \section*{Allpol}
    53     87   
    54         -Die linke Hälfte arbeitet wie bei einem Filter gewohnt kontinuierlich
    55         -über jedes Sample. Bei einem DTMF-Empfänger der als A/D-Wandler ein
    56         -PCM-Codec verwendet ist die Samplerate fest fs=8kHz. Die Frequenzen
    57         -der 8 DTMF-Töne sind auch vorgegeben. Variabel ist dann also nur N
    58         -die Zahl der Samples im Datenblock. Große Werte wären wegen der Schmalbandig-keit
           88  +Die linke Hälfte arbeitet, wie bei einem Filter gewohnt, kontinuierlich
           89  +über jedes Sample. Bei einem DTMF-Empfänger, der als A/D-Wandler ein
           90  +PCM-Codec verwendet, ist die Samplerate fest fs=8kHz. Die Frequenzen
           91  +der 8 DTMF-Töne sind auch vorgegeben. Variabel ist dann also nur N,
           92  +die Zahl der Samples im Datenblock. Große Werte wären wegen der Schmalbandigkeit
    59     93   besser. Für k sind aber ganzzahlige Werte nötig. Mit geringer Frequenzabweichung
    60     94   für alle 8 Frequenzen. Das schränkt die Möglichkeiten ein. Der übliche
    61         -Wert für fs=8kHz ist dann N=205 ( Tabelle 1 ) \cite{key-4}, obwohl
    62         -auch N=105 schon vorgeschlagen wurde ( Tabelle 2 ). Man kann auch
    63         -auf fs=4kHz reduzieren, dann empfiehlt sich N=106 \cite{key-5}. 
           95  +Wert für fs=8kHz ist dann N=205 \textbf{(Tab.\ref{tab-1})} \cite{key-4},
           96  +obwohl auch N=105 schon vorgeschlagen wurde \textbf{(Tab.\ref{tab-2})}.
           97  +Man kann auch auf fs=4kHz reduzieren, dann empfiehlt sich N=106 \cite{key-5}. 
    64     98   
    65         -Die Koeffizienten sind so gewählt, daß dieses Filter auf der Stabilitätsgrenze
           99  +Die Koeffizienten sind so gewählt, dass dieses Filter auf der Stabilitätsgrenze
    66    100   liegt und damit extrem schmalbandig ist. Da der Faktor „a1“ als Festkommazahl
    67         -nicht exakt darstellbar ist könnte das Signal entweder Richtung Übersteuerung
    68         -driften oder abklingen. Aber die Quantisierung der Daten die bei digitalen
    69         -Filtern meist für unschöne Grenzzyklen sorgt wirkt sich hier meist
    70         -stabilisierend auf die Schwingung aus. Solange das Signal nicht innerhalb
    71         -der N=205 Samples wegdriftet ist die Funktion nicht beeinträchtigt. 
          101  +nicht exakt darstellbar ist, könnte das Signal entweder Richtung Übersteuerung
          102  +driften oder abklingen. Aber die Quantisierung der Daten, die bei
          103  +digitalen Filtern meist für unschöne Grenzzyklen sorgt, wirkt sich
          104  +hier meist stabilisierend auf die Schwingung aus. Solange das Signal
          105  +nicht innerhalb der N=205 Samples wegdriftet, ist die Funktion nicht
          106  +beeinträchtigt. 
          107  +
          108  +\begin{table}
          109  +\begin{centering}
          110  +\caption{\label{tab-1}Parameter DTMF-Decoder {[}4{]} }
          111  +N=205 fs=8kHz 
          112  +\par\end{centering}
          113  +
          114  +\centering{}%
          115  +\begin{tabular}{|c|c|c|}
          116  +\hline 
          117  +ft= & k= & a1=\tabularnewline
          118  +\hline 
          119  +\hline 
          120  +697Hz  & 18 & 27906\tabularnewline
          121  +\hline 
          122  +770Hz & 20 & 26802\tabularnewline
          123  +\hline 
          124  +852Hz & 22 & 25597\tabularnewline
          125  +\hline 
          126  +941Hz & 24 & 24295\tabularnewline
          127  +\hline 
          128  +1209Hz & 31 & 19057\tabularnewline
          129  +\hline 
          130  +1336Hz & 34 & 16529\tabularnewline
          131  +\hline 
          132  +1477Hz & 38 & 12945\tabularnewline
          133  +\hline 
          134  +1633Hz & 42 & 9166\tabularnewline
          135  +\hline 
          136  +\end{tabular}
          137  +\end{table}
          138  +
          139  +
          140  +\begin{table}
          141  +\begin{centering}
          142  +\caption{\label{tab-2}Parameter DTMF-Decoder {[}5{]} }
          143  +N=105 fs=8kHz
          144  +\par\end{centering}
          145  +
          146  +\centering{}%
          147  +\begin{tabular}{|c|c|}
          148  +\hline 
          149  +ft= & k=\tabularnewline
          150  +\hline 
          151  +\hline 
          152  +697Hz & 9\tabularnewline
          153  +\hline 
          154  +770Hz & 10\tabularnewline
          155  +\hline 
          156  +852Hz & 11\tabularnewline
          157  +\hline 
          158  +941Hz & 12\tabularnewline
          159  +\hline 
          160  +1209Hz & 16\tabularnewline
          161  +\hline 
          162  +1336Hz & 18\tabularnewline
          163  +\hline 
          164  +1477Hz & 19\tabularnewline
          165  +\hline 
          166  +1633Hz & 21\tabularnewline
          167  +\hline 
          168  +\end{tabular}
          169  +\end{table}
          170  +
    72    171   
    73    172   
    74    173   \section*{Squared Magnitude }
    75    174   
    76    175   Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung
    77         -der Zeigerlänge kombiniert werden erhebliche Vereinfachungen möglich
    78         -( Bild 5 ). Nach Ausgabe des Ergebnisses müssen die beiden Speicher
    79         -des Filters auf Null gesetzt werden und der nächste Datenblock kann
    80         -beginnen. 
          176  +der Zeigerlänge kombiniert, werden erhebliche Vereinfachungen möglich
          177  +\textbf{(Abb.\ref{Abb.5})}. Nach Ausgabe des Ergebnisses müssen die
          178  +beiden Speicher des Filters auf null gesetzt werden und der nächste
          179  +Datenblock kann beginnen. 
          180  +
          181  +\begin{figure}
          182  +\centering{}\includegraphics{2014-03/deliano-goertzel/Bild5}\caption{\label{Abb.5}Berechnung squared magnitude}
          183  +\end{figure}
          184  +
    81    185   
    82    186   
    83    187   \section*{Nachverarbeitung}
    84    188   
    85         -Da der Datenblock mit einem Rechteckfenster gewichtet wurde ist der
    86         -Frequenzgang wellig und für Oberwellen etwas durchlässig ( Bild 6
    87         -). Für viele Anwendungen genügt deren Bedämpfung jedoch. Bei DTMF-Signalen
          189  +Da der Datenblock mit einem Rechteckfenster gewichtet wurde, ist der
          190  +Frequenzgang wellig und für Oberwellen etwas durchlässig \textbf{(Abb.\ref{Abb.6})}.
          191  +Für viele Anwendungen genügt deren Bedämpfung jedoch. Bei DTMF-Signalen
    88    192   z.B. sind kaum Oberwellen vorhanden. 
    89    193   
    90         -Wenn das Eingangssignal z.B. durch ALC einen konstanten Pegel hat
    91         -genügt der Vergleich mit einer festen Schaltschwelle um eine Frequenz
    92         -zu erkennen ( Bild 7a ). Andernfalls kann man mit breit- bandigen
    93         -Energiedetektor den Eingangspegel bestimmen und daraus die Schaltschwelle
    94         -ableiten ( Bild 7b ). 
          194  +\begin{figure}
          195  +\centering{}\includegraphics{2014-03/deliano-goertzel/Bild6}\caption{\label{Abb.6}Rechteckfenster}
          196  +\end{figure}
          197  +
          198  +
          199  +Wenn das Eingangssignal z.B. durch ALC einen konstanten Pegel hat,
          200  +genügt der Vergleich mit einer festen Schaltschwelle, um eine Frequenz
          201  +zu erkennen \textbf{(Abb.\ref{Abb.7}a)}. Andernfalls kann man mit
          202  +breitbandigen Energiedetektor den Eingangspegel bestimmen und daraus
          203  +die Schaltschwelle ableiten \textbf{(Abb.\ref{Abb.7}b)}. 
    95    204   
    96    205   Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel
    97         -verwendet \cite{key-3} ( Bild 7c ). Da Sprache im Gegensatz zu DTMF
    98         -reichlich Oberwellen hat erleichtert der zusätzliche Detektor die
    99         -Unterscheidung beider Signale. 
          206  +verwendet \cite{key-3} \textbf{(Abb.\ref{Abb.7}c)}. Da Sprache im
          207  +Gegensatz zu DTMF reichlich Oberwellen hat, erleichtert der zusätzliche
          208  +Detektor die Unterscheidung beider Signale. 
          209  +
          210  +\begin{figure}
          211  +\centering{}\includegraphics{2014-03/deliano-goertzel/Bild7}\caption{\label{Abb.7}Schalter}
          212  +\end{figure}
          213  +
   100    214   
   101    215   
   102    216   \section*{Und nun zur Implementierung}
   103    217   
   104    218   Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24
   105    219   verwendet. fs/ft ist dann ca. 8,5 und die Konstante a1 hat den Wert
   106    220   1,4712. 
   107    221   
   108         -Wenn man diesen Allpol mit Puls anregt wird er dauerhaft auf der Sinusfrequenz,
   109         -d.h mit ca. 8,5 Samples Periode, weiterschwingen. 
          222  +Wenn man diesen Allpol mit Puls anregt, wird er dauerhaft auf der
          223  +Sinusfrequenz, d.h mit ca. 8,5 Samples Periode, weiterschwingen. 
   110    224   
   111    225   
   112    226   \section*{Sinusgenerator}
   113    227   
   114    228   Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem
   115         -Bereich ( Bild 10 ). Gerade Längen mit 7 ... 20 Samples enthalten
   116         -eine einzelne Sinuskurve. Eine Tabelle mit 17 Samples die zwei Sinusperioden
   117         -enthält kann krumme Werte wie 8,5 darstellen. Die Tabellen werden
   118         -hier mit +/-7FFF vollausgesteuerte verwendet. Die 16 Bit Dynamik im
   119         -Allpol-Filter reicht dann nur recht knapp aus. Es empfiehlt sich wie
   120         -in \cite{key-12} ein 32 Bit Akkumulator der auf 40 Bit erweitert
   121         -ist und damit Überlauf erkennt und Sättigung durchführen kann. 
   122         -
   123         -Nach Tests wurde der Vorteiler am Eingang ( Bild 8 ) auf 2\textasciicircum{}7
   124         -ausgelegt. Dämpft man noch mehr wird intern ungenügend ausgesteuert.
   125         -Während mit 2\textasciicircum{}6 die Overflows bereits Nebenmaxima
   126         -verschlechtern ( Bild 10 ). Zwar wird der Überlauf durch die Sättigungslogik
   127         -entschärft, aber eine leichte Verschlechterung des Meßwerts tritt
   128         -trotzdem ein, sodaß er nicht unbegrenzt tolerierbar ist. Man sollte
   129         -also in realen Anwendungen anhand anliegendem Pegel und Frequenzgemisch
   130         -untersuchen wie sich intern die Aussteuerung des Allpols verhält.
   131         -Die abschliessende Berechnung der Zeigerlängen ( Bild 9 ) ist zwar
   132         -etwas umfänglich, aber technisch unproblematisch. 
   133         -
   134         -
   135         -\section*{Timing}
   136         -
   137         -Das Programm belegt in Assembler auf einem 2,45 MHz MC68HC908 ca.
   138         -400 Bytes FLASH. Der Allpol benötigt 220usec pro Sample, die folgende
   139         -Berechnung der Zeigerlänge 350usec. Wenn der Allpol z.B. in einem
   140         -250usec Timerinterrupt berechnet wird ( Bild 11 ), wird man dort auch
   141         -die abschliessende Berechnung der Ausgabewerte vornehmen. Die Unterbrechung
   142         -von 1... 2 Samples ist bezogen auf die Blocklänge N=205 unerheblich. 
   143         -
   144         -
   145         -\section*{Guard-Bits}
   146         -
   147         -Für Simulation und Debugging des Algorithmus ist oft ein portable
   148         -Variante in Hochsprache wünschenswert. Es ist in Assembler einfach
   149         -an das 32 bit Datenwort 8 Bit anzuhängen um einen überlaufsicheren
   150         -40 Bit Akkumulator zu erhalten. In Hochsprache teilt man die Summierung
   151         -in eine 32 Bit Addition bei der das oberste Bit gelöscht ist ( Bild
   152         -12 ), sodaß man Carry detektieren kann. Gefolgt von zwei Additionen
   153         -für die oberen 16 Bit und das Carrybit. 
          229  +Bereich \textbf{(Abb.\ref{Abb.10})}. Gerade Längen mit 7 ... 20 Samples
          230  +enthalten eine einzelne Sinuskurve. Eine Tabelle mit 17 Samples, die
          231  +zwei Sinusperioden enthält, kann krumme Werte, wie 8,5 , darstellen.
          232  +Die Tabellen werden hier mit +/-7FFF vollausgesteuert verwendet. Die
          233  +16-Bit-Dynamik im Allpol-Filter reicht dann nur recht knapp aus. Es
          234  +empfiehlt sich, wie in \cite{key-12}, ein 32-Bit-Akkumulator, der
          235  +auf 40 Bit erweitert ist und damit Überlauf erkennt und Sättigung
          236  +durchführen kann. 
          237  +
          238  +Nach Tests wurde der Vorteiler am Eingang \textbf{(Abb.\ref{Abb.8})}
          239  +auf 2\textasciicircum{}7 ausgelegt. Dämpft man noch mehr, wird intern
          240  +ungenügend ausgesteuert. Während mit 2\textasciicircum{}6 die Overflows
          241  +bereits Nebenmaxima verschlechtern \textbf{(Abb.\ref{Abb.10})}. Zwar
          242  +wird der Überlauf durch die Sättigungslogik entschärft, aber eine
          243  +leichte Verschlechterung des Messwerts tritt trotzdem ein, sodass
          244  +er nicht unbegrenzt tolerierbar ist. Man sollte also in realen Anwendungen
          245  +anhand anliegendem Pegel und Frequenzgemisch untersuchen, wie sich
          246  +intern die Aussteuerung des Allpols verhält. Die abschließende Berechnung
          247  +der Zeigerlängen \textbf{(Abb.\ref{Abb.9})} ist zwar etwas umfänglich,
          248  +aber technisch unproblematisch. 
   154    249   
   155    250   \begin{figure}
   156         -\includegraphics{2014-03/deliano-goertzel/Bild1}\caption{\label{Abb.1}DFT Tondetektor, optional reduziert auf squared magnitude }
   157         -
   158         -
   159         -\end{figure}
   160         -
   161         -
   162         -\begin{figure}
   163         -\includegraphics{2014-03/deliano-goertzel/Bild2}\caption{\label{Abb.2}Eingangsstufe auf Goertzel geändert}
   164         -
   165         -
   166         -\end{figure}
   167         -
   168         -
   169         -\begin{figure}
   170         -\includegraphics{2014-03/deliano-goertzel/Bild3}\caption{\label{Abb.3}Goertzel unoptimiert}
   171         -
   172         -
   173         -\end{figure}
   174         -
   175         -
   176         -\begin{figure}
   177         -\includegraphics{2014-03/deliano-goertzel/Bild4}
   178         -
   179         -\caption{\label{Abb.4}Kompaktere Darstellung, beide Ablaufphasen}
   180         -
   181         -
   182         -\end{figure}
   183         -
   184         -
   185         -\begin{figure}
   186         -\includegraphics{2014-03/deliano-goertzel/Bild5}\caption{\label{Abb.5}Berechnung squared magnitude}
   187         -\end{figure}
   188         -
   189         -
   190         -\begin{figure}
   191         -\includegraphics{2014-03/deliano-goertzel/Bild6}\caption{\label{Abb.6}Rechteckfenster}
   192         -
   193         -
   194         -\end{figure}
   195         -
   196         -
   197         -\begin{figure}
   198         -\includegraphics{2014-03/deliano-goertzel/Bild7}\caption{\label{Abb.7}Schalter}
   199         -\end{figure}
   200         -
   201         -
   202         -\begin{figure}
   203         -\includegraphics{2014-03/deliano-goertzel/Bild8}\caption{\label{Abb.8}Skalierung Allpol}
   204         -
   205         -
          251  +\centering{}\includegraphics{2014-03/deliano-goertzel/Bild8}\caption{\label{Abb.8}Skalierung Allpol}
   206    252   \end{figure}
   207    253   
   208    254   
   209    255   \begin{figure}
   210    256   \includegraphics{2014-03/deliano-goertzel/Bild9}\caption{\label{Abb.9}Skalierung squared magnitude}
   211         -
   212         -
   213    257   \end{figure}
   214    258   
   215    259   
   216    260   \begin{figure}
   217         -(muss noch komponiert werden aus der 11wer Gruppe)\caption{\label{Abb.10}Frequenzgang \& Overflows}
   218         -
   219         -
          261  +\centering{}\includegraphics[scale=0.75]{2014-03/deliano-goertzel/Bild10}\caption{\label{Abb.10}Frequenzgang \& Overflows}
   220    262   \end{figure}
   221    263   
   222    264   
          265  +
          266  +\section*{Timing}
          267  +
          268  +Das Programm belegt in Assembler auf einem 2,45-MHz-MC68HC908 ca.
          269  +400 Bytes FLASH. Der Allpol benötigt 220usec pro Sample, die folgende
          270  +Berechnung der Zeigerlänge 350usec. Wenn der Allpol z.B. in einem
          271  +250usec-Timerinterrupt berechnet wird \textbf{(Abb.\ref{Abb.11})},
          272  +wird man dort auch die abschließende Berechnung der Ausgabewerte vornehmen.
          273  +Die Unterbrechung von 1... 2 Samples ist bezogen auf die Blocklänge
          274  +N=205 unerheblich. 
          275  +
   223    276   \begin{figure}
   224         -\includegraphics{2014-03/deliano-goertzel/Bild11}\caption{\label{Abb.11}Timing}
   225         -
   226         -
          277  +\centering{}\includegraphics{2014-03/deliano-goertzel/Bild11}\caption{\label{Abb.11}Timing}
   227    278   \end{figure}
   228    279   
   229    280   
          281  +
          282  +\section*{Guard-Bits}
          283  +
          284  +Für Simulation und Debugging des Algorithmus ist oft eine portable
          285  +Variante in Hochsprache wünschenswert. Es ist in Assembler einfach,
          286  +an das 32-Bit-Datenwort 8 Bit anzuhängen, um einen überlaufsicheren
          287  +40-Bit-Akkumulator zu erhalten. In Hochsprache teilt man die Summierung
          288  +in eine 32-Bit-Addition, bei der das oberste Bit gelöscht ist \textbf{(Abb.\ref{Abb.12})},
          289  +sodass man Carry detektieren kann. Gefolgt von zwei Additionen für
          290  +die oberen 16 Bit und das Carrybit. 
          291  +
   230    292   \begin{figure}
   231         -\includegraphics{2014-03/deliano-goertzel/Bild12}\caption{\label{Abb.12}Akku mit Guard-Bits in HLL}
   232         -
   233         -
          293  +\centering{}\includegraphics[scale=0.75]{2014-03/deliano-goertzel/Bild12}\caption{\label{Abb.12}Akku mit Guard-Bits in HLL}
   234    294   \end{figure}
   235    295   
   236         -\begin{thebibliography}{Literaturverzeichnis}
   237         -\begin{flushleft}
   238         -\bibitem{key-1} Goertzel „An Algorithm for the Evaluation of Finite
          296  +\begin{thebibliography}{10}
          297  +\bibitem{key-1}Goertzel „An Algorithm for the Evaluation of Finite
   239    298   Trigonometric Series“ Amer. Math. Monthly Jan. 1958 
   240         -\par\end{flushleft}
   241    299   
   242         -\begin{flushleft}
   243    300   \bibitem[2]{key-2}Gerdsen, Kröger „Digitale Signalverarbeitung in
   244    301   der Nachrichtentechnik“ Springer 1993
   245         -\par\end{flushleft}
   246    302   
   247         -\begin{flushleft}
   248    303   \bibitem[3]{key-3}Mock „Add DTMF generation and decoding to DSP-uP
   249    304   designs“ EDN March 1985 
   250         -\par\end{flushleft}
   251    305   
   252         -\begin{flushleft}
   253    306   \bibitem[4]{key-4}Chen \textquotedbl{}Modified Goertzel Algorithm
   254    307   in DTMF Detection Using the TMS320C80\textquotedbl{} Application Note
   255    308   SPRA066 1996 
   256         -\par\end{flushleft}
   257    309   
   258         -\begin{flushleft}
   259    310   \bibitem[5]{key-5}Gay, Hartung, Smith „Algorithms for Multi-Channel
   260    311   DTMF Detection for the WE DSP32 Family“ ICASSP 89 
   261         -\par\end{flushleft}
          312  +
          313  +\bibitem[10]{key-10}emb (12) DTMF-Decoder 
   262    314   
   263         -\begin{flushleft}
   264         -\bibitem[10]{key-10}emb (12) DTMF-Decoder 
   265         -\par\end{flushleft}
          315  +\bibitem[11]{key-11}emb (13) 2pol Allpol Filter 
   266    316   
   267         -\begin{flushleft}
   268         -\bibitem[11]{key-11}emb (13) 2pol Allpol Filter 
   269         -\par\end{flushleft}
   270         -
   271         -\begin{flushleft}
   272    317   \bibitem[12]{key-12}emb (14) Biquads 
   273         -\par\end{flushleft}
   274    318   
   275    319   \bibitem[14]{key-14}(ist im text erwähnt, nicht angegeben --> nachfragen)
   276    320   
   277    321   \end{thebibliography}
   278    322   \end{multicols}
   279    323   
          324  +\begin{multicols}{2}
          325  +
          326  +
          327  +\section*{Listing}
   280    328   
   281         -\section*{Listings}
          329  +{\footnotesize{\listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt}}}{\footnotesize \par}
   282    330   
   283         -{\footnotesize{\listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt}}}
          331  +\end{multicols}
   284    332   \end{document}

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         5319  +%%PageTrailer
         5320  +%%Trailer
         5321  +%%EOF

Added 2014-03/haiku-pacman.png.

cannot compute difference between binary files

Added 2014-03/kalus-taster/2taster.eps.

            1  +%!PS-Adobe-3.0 EPSF-3.0
            2  +%%Creator: GIMP PostScript file plugin V 1,17 by Peter Kirchgessner
            3  +%%Title: 2taster.eps
            4  +%%CreationDate: Sat Oct 25 03:00:01 2014
            5  +%%DocumentData: Clean7Bit
            6  +%%LanguageLevel: 2
            7  +%%Pages: 1
            8  +%%BoundingBox: 14 14 450 225
            9  +%%EndComments
           10  +%%BeginProlog
           11  +% Use own dictionary to avoid conflicts
           12  +10 dict begin
           13  +%%EndProlog
           14  +%%Page: 1 1
           15  +% Translate for offset
           16  +14.173228346456694 14.173228346456694 translate
           17  +% Translate to begin of first scanline
           18  +0 210.02931659210768 translate
           19  +435.06072722650873 -210.02931659210768 scale
           20  +% Image geometry
           21  +580 280 8
           22  +% Transformation matrix
           23  +[ 580 0 0 280 0 0 ]
           24  +% Strings to hold RGB-samples per scanline
           25  +/rstr 580 string def
           26  +/gstr 580 string def
           27  +/bstr 580 string def
           28  +{currentfile /ASCII85Decode filter /RunLengthDecode filter rstr readstring pop}
           29  +{currentfile /ASCII85Decode filter /RunLengthDecode filter gstr readstring pop}
           30  +{currentfile /ASCII85Decode filter /RunLengthDecode filter bstr readstring pop}
           31  +true 3
           32  +%%BeginData:       169503 ASCII Bytes
           33  +colorimage
           34  +JcC<$JcC<$^&NT~>
           35  +JcC<$JcC<$^&NT~>
           36  +JcC<$JcC<$^&NT~>
           37  +JcC<$JcC<$^&NT~>
           38  +JcC<$JcC<$^&NT~>
           39  +JcC<$JcC<$^&NT~>
           40  +JcC<$JcC<$^&NT~>
           41  +JcC<$JcC<$^&NT~>
           42  +JcC<$JcC<$^&NT~>
           43  +JcC<$JcC<$^&NT~>
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         2722  +%%EndData
         2723  +showpage
         2724  +%%Trailer
         2725  +end
         2726  +%%EOF

Added 2014-03/kalus-taster/2taster.pdf.

cannot compute difference between binary files

Added 2014-03/kalus-taster/taster-bild1.jpg.

cannot compute difference between binary files

Added 2014-03/kalus-taster/taster-bild12.jpg.

cannot compute difference between binary files

Added 2014-03/kalus-taster/taster-bild2.jpg.

cannot compute difference between binary files

Added 2014-03/kalus-taster/taster-bild3.jpg.

cannot compute difference between binary files

Added 2014-03/kalus-taster/taster-listing.4th.

            1  +\ Hochzaehlen einer Variablen.
            2  +\ An den beiden LaunchPad-LEDs darstellen. 
            3  +\ Zählen jeweils auf einen S2-Tastendruck.
            4  +
            5  +\ LED1 -- P1.0 red
            6  +\ LED2 -- P1.6 green
            7  +\ S2   -- P1.3 input
            8  +\ Die LEDs und S2 sind im 4e4th schon initialisiert. 
            9  +
           10  +\ Wert anzeigen an den beiden LEDs
           11  +HEX
           12  +: SETLEDS  \ n -- 
           13  +  \ Binaerwert an den LEDs darstellen.
           14  +  >r  \ in lokale Variable sichern. 
           15  +  r@ 01 and 
           16  +  IF green cset ELSE green cclr THEN   \ Bit0 
           17  +  r> 02 and 
           18  +  IF red   cset ELSE red   cclr THEN ; \ Bit1 
           19  +variable OUT
           20  +: ?   @ u. ; \ adr --- \ Helfer, Variable zeigen.
           21  +: OUT>  \ Wert anzeigen. 
           22  +  out @  setleds ; 
           23  +
           24  +\ Uebung1: Pegel am Pin von S2 abfragen. 
           25  +HEX
           26  +FFFF constant TRUE
           27  +: 5XS2?  \ -- f  \ wahr, wenn Taster gedrueckt.
           28  +  true  5 zero 
           29  +  DO 10 ms s2? and LOOP ; \ Zeit ausprobieren.
           30  +: TNEW \ x0 f0 -- x1 f1
           31  +  \ f1 wird nur wahr, wenn der Taster 
           32  +  \ erneut gedrueckt wurde.   
           33  +  2dup >r >r         \ R: -- x0 f0 
           34  +  invert swap drop   \ f0 --> x1
           35  +  r> r>              \ x1 x0 f0 -- 
           36  +  2dup  and    IF 2drop true exit THEN  
           37  +  2dup  and 0= IF 2drop zero exit THEN  
           38  +  2drop zero ; 
           39  +: INC  \ Binaerzaehler, beide LEDs am LaunchPad.
           40  +  zero out !  out>  \ Anzeige aus.
           41  +  zero BEGIN 
           42  +  5xs2? tnew           \ Tastendruck abfragen. 
           43  +  IF 1 out +! THEN  \ Binaer zaehlen 
           44  +  out>              \ Display aktuell halten. 
           45  +  key? UNTIL 
           46  +  drop  key drop ; \ Ende   
           47  +
           48  +\ Uebung2: Flanke am Pin von S2 abfragen
           49  +HEX 
           50  +: INITIO \ -- \ I/O initialisation 
           51  +\ mask adr op 
           52  +  08 22 ( P1DIR ) cclr \ P1 INs 
           53  +  08 24 ( P1IES ) cset \ falling edge detect
           54  +  08 27 ( P1REN ) cset \ pullup selected 
           55  +  08 21 ( P1OUT ) cset \ pullup enabled 
           56  +;   INITIO 
           57  +
           58  +023 constant P1IFG
           59  +: S2E?  \ -- f   \ set on edge event.
           60  +  008 P1IFG cget ; 
           61  +: S2RS  \ --     \ reset flag
           62  +  008 P1IFG cclr ;  
           63  +
           64  +: INC2  \ Binaerzaehler, beide LEDs am LaunchPad. 
           65  +  initio zero out !  out>  \ Anzeige aus.
           66  +  s2rs BEGIN 
           67  +  s2e?           \ Tastendruck abfragen. 
           68  +  IF 1 out +! 10 ms s2rs THEN  \ binaer zaehlen 
           69  +  out>           \ Display aktuell halten. 
           70  +  key? UNTIL 
           71  +  key drop ; \ Ende  
           72  +  
           73  +( finis)

Added 2014-03/kalus-taster/taster.txt.

            1  +\title{Grundlegende Experimente mit einer MCU - Taster abfragen}
            2  +\ifx\shorttitle\undefined\else
            3  +\shorttitle{Taster abfragen}
            4  +\fi
            5  +\author{Michael Kalus}
            6  +
            7  +\begin{document}
            8  +\maketitle
            9  +%abstract ...
           10  +Ist der Taster gedrückt oder nicht? Das klingt nach einer einfachen Sache. Um das zu überprüfen wurde das Verhalten zweier Taster unterschiedlicher Bauart untersucht. 
           11  +In den anschließenden Übungen wird ein Taster abgefragt. Dabei soll erreicht werden, dass der Taster wieder losgelassen werden muss, um erneut aktiv sein zu dürfen.
           12  +
           13  +\begin{multicols}{2}
           14  +\section{Tasterverhalten}
           15  +
           16  +Das \textbf{Abb. \ref{Bild1}}  zeigt das Verhalten des LaunchPad--Tasters, aufgenommen mit einem Speicheroszilloskop. Da ist eine recht saubere fallende Flanke, wenn der Taster gedrückt wird. Es gibt einen deutlichen Druckpunkt bei der Bedienung, beim Drücken wie beim Loslassen „knackt“ es etwas. Doch das ist nicht bei allen Tastern so. Das Experiment mit einem einfachen NoName-Taster (\textbf{Abb. \ref{Bild2}}) zeigt, (\textbf{Abb. \ref{Bild3}}) das solch ein Taster keinen sauberen Schaltzeitpunkt hat, der Pegel am Portpin fällt nicht nur einmal, sondern springt eine Weile hin und her. Dieser Taster prellt. Für etwas 4.5ms gibt es immer wieder H- und L-Pegel in rascher Folge. 
           17  +
           18  +Um auch von solche einem Taster ein klares „gedrückt“ oder „nicht-gedrückt“ zu erhalten, muss entprellt werden, was per Software gemacht werden kann. Das folgende kleine Forthprogramm setzt das exemplarisch um. Damit ist es möglich zu ermitteln, ob der Taster erneut gedrückt wurde, oder noch nicht . Bei weiter gedrückt gehaltenem Taster erfolgt keine Reaktion mehr, er muss erst losgelassen werden, um den nächsten Tastendruck einlesen zu können. Das funktioniert also wie ein Auffangregister (Latch) mit Reset. 
           19  +
           20  +%Abbildung 1: 
           21  +\begin{figure}
           22  +\begin{center}
           23  +\includegraphics[width=0.8\textwidth]{2014-03/kalus-bild1}
           24  +\caption{\label{Bild1}Eine saubere flanke an Taster S2 des LaunchPads}
           25  +\end{center}
           26  +\end{figure}
           27  +
           28  +%Abbildung 2: 
           29  +\begin{figure}
           30  +\begin{center}
           31  +\includegraphics[width=0.8\textwidth]{2014-03/kalus-bild2}
           32  +\caption{\label{Bild2}Ein einfacher NoName-Taster}
           33  +\end{center}
           34  +\end{figure}
           35  +
           36  +%Abbildung 3: 
           37  +\begin{figure}
           38  +\begin{center}
           39  +\includegraphics[width=0.8\textwidth]{2014-03/kalus-bild3}
           40  +\caption{\label{Bild3}Der NoName-Taster prellt offensichtlich}
           41  +\end{center}
           42  +\end{figure}
           43  +
           44  +\section{Schaltung}
           45  +
           46  +Die Schaltung für das Experiment ist denkbar einfach:
           47  +
           48  +\begin{verbatim}
           49  +
           50  +   P1.3 --- S2 --- GND
           51  +
           52  +\end{verbatim}
           53  +
           54  +Der Portpin wird als digitaler Eingang geschaltet. Im Beispiel ist Pin3 von Port1 der MCU MSP430G2553 auf dem LaunchPad über den Taster S2 direkt mit Masse (GND) verbunden. Das geht ohne weiteres. Ein interner pullup-Widerstand liefert den positiven Spannungspegel.
           55  +
           56  +% Einfache Tabelle; Spaltentypen= l,c,r  links,center,rechts
           57  +\begin{tabular} {l}\hline 
           58  +S2 & P1.3  \tabularnewline\hline 
           59  +offen & H  \tabularnewline\hline  
           60  +gedrückt & L  \tabularnewline\hline  
           61  +\end{tabular} 
           62  +
           63  +
           64  +
           65  +\section{Digitalen Input pollen}
           66  +
           67  +Um das Ganze zu demonstrieren habe ich einen Binärzähler gemacht. Mit jedem Tastendruck wird der Zähler um eins erhöht. Das klappt auch, wenn statt des Launchad--Tasters der \glqq{}olle\grqq{} Taster angeschlossen wird. Oder mit einem einfachen Draht an Stelle des Tasters S2, mit dem man die Masse antippt. Probiert's mal aus. Prinzip: Warten bis der Pegel sicher unten ist. Dann ist der Taster stetig gedrückt. Die nötige Wartezeit kann ausprobiert werden. Dann muss noch ein Merker mitgeführt werden, an dem man erkennen kann, das der Taster erneut gedrückt worden ist, also der Pegel zwischenzeitlich wieder hoch war. Das Merker wurde in diesem Beipiel auf dem Stack mitgeführt.
           68  +
           69  +\section{Interruptflag abfragen}
           70  +Die Hardware der meisten MCUs unterstützt so etwas bereits, indem sie Flanken am Portpin erkennen kann. Dieses Pin--Verhalten muss per Software angewählt werden. Dazu wird ein Flag in einem Register gesetzt. Im MSP430 heißt es Portpin--Interrupt--flag--Register P1IFG. Dieses Flag wird dann gesetzt wenn eine Flanke im Spannungsverlauf am Input--Pin kommt. Man kann einstellen, ob eine steigende oder fallende Flanke der Auslöser sein soll. Einmal ausgelöst, bleibt das Flag solange gesetzt, bis man es per Software wieder zurücksetzt. Die Abfrage, ob der Taster gedrückt worden war, reduziert sich damit darauf, das flag auszulesen. Ist es gesetzt ward der Taster gedrückt - vermutlich jedenfalls, solange man kein Rauschen oder Störpegel auf der Leitung zum Taster hat, die den Pin auch auslösen (triggern) könnten. Damit ist die Aufgabe also elegant zu lösen. Man muss lediglich etwas warten, bis das Prellen abgeklungen ist, bevor man den Trigger wieder scharf schaltet - reset des flag - um den nächsten Tastendruck mitzukriegen.  Auch für diese Variante ist ein Binärzähler-Beispiel angegeben.
           71  +
           72  +Weitere Experimente findet ihr auf der forth-ev Wiki-Seite mit den grundlegenden Experimenten zu einer MCU. Viel Vergnügen. 
           73  +
           74  +
           75  +\end{multicols}
           76  +
           77  +\section{Link}
           78  +
           79  +\url{http://www.forth-ev.de/wiki/doku.php/projects:4e4th:4e4th:start:msp430g2553_experimente:input}
           80  +
           81  +\section{Listing}\label{listing1}
           82  +\begin{quote}
           83  +\listinginput[1]{1}{2014-03/kalus/kalus-entprellen.4th}
           84  +\end{quote}
           85  +
           86  +\end{document}
           87  +

Added 2014-03/philae-landed.jpg.

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Changes to 2014-03/recognizer2-de.tex.

     1      1   % Content-encoding: UTF-8
     2      2   % Dummy
     3      3   \documentclass[ngerman,a4paper]{article}
     4      4   \usepackage[utf8]{inputenc}
     5         -\usepackage{multicol,babel}
     6      5   \setcounter{secnumdepth}{0}
     7      6   \setcounter{tocdepth}{0}
     8      7   %%
     9      8   %% Packete/Style-Optionen und anderes Material in der Pr"aambel:
    10      9   %%
    11     10   \usepackage{booktabs}
    12     11   \usepackage{color}
    13     12   \usepackage{fancybox}
    14     13   \usepackage{graphics}
    15     14   %\DeclareGraphicsExtensions{.eps}
    16         -\usepackage{pst-all}
    17         -\usepackage{pst-blur}
    18         -\usepackage{pst-grad}
    19     15   \usepackage{multicol}
    20     16   \usepackage{soul}
    21     17   \usepackage{moreverb}
    22     18   \usepackage{alltt}
    23     19   \usepackage{varioref}
    24     20   \def\listinglabel#1{\llap{\footnotesize\rmfamily\the#1}\hskip\listingoffset\relax}
    25     21   \usepackage[ps2pdf]{thumbpdf}
    26     22   \usepackage{latexsym}
    27         -\usepackage{url,breakurl}
    28     23   \usepackage{listings}
    29     24   \usepackage{xspace}
    30     25   
    31     26   %% PDFLaTex Randausgleich
    32     27   \usepackage[activate]{pdfcprot}
    33     28   
    34     29   

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Added 2014-03/taster.lyx.

            1  +#LyX 2.1 created this file. For more info see http://www.lyx.org/
            2  +\lyxformat 413
            3  +\begin_document
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           58  +\end_header
           59  +
           60  +\begin_body
           61  +
           62  +\begin_layout Title
           63  +Grundlegende Experimente mit einer MCU --- Taster abfragen
           64  +\end_layout
           65  +
           66  +\begin_layout Author
           67  +Michael Kalus
           68  +\end_layout
           69  +
           70  +\begin_layout Abstract
           71  +
           72  +\emph on
           73  +Ist der Taster gedrückt oder nicht? Das klingt nach einer einfachen Sache.
           74  + Um das zu überprüfen, wurde das Verhalten zweier Taster unterschiedlicher
           75  + Bauart untersucht.
           76  + In den anschließenden Übungen wird ein Taster abgefragt.
           77  + Dabei soll erreicht werden, dass der Taster wieder losgelassen werden muss,
           78  + um erneut aktiv sein zu dürfen.
           79  +\end_layout
           80  +
           81  +\begin_layout Standard
           82  +\begin_inset ERT
           83  +status open
           84  +
           85  +\begin_layout Plain Layout
           86  +
           87  +
           88  +\backslash
           89  +begin{multicols}{2}
           90  +\end_layout
           91  +
           92  +\end_inset
           93  +
           94  +
           95  +\end_layout
           96  +
           97  +\begin_layout Section
           98  +Tasterverhalten
           99  +\end_layout
          100  +
          101  +\begin_layout Standard
          102  +Die 
          103  +\series bold
          104  +Abb.
          105  +\begin_inset CommandInset ref
          106  +LatexCommand ref
          107  +reference "fig1"
          108  +
          109  +\end_inset
          110  +
          111  +
          112  +\series default
          113  + zeigt das Verhalten des LaunchPad--Tasters, aufgenommen mit einem Speicheroszil
          114  +loskop.
          115  + Da ist eine recht saubere fallende Flanke, wenn der Taster gedrückt wird.
          116  + Es gibt einen deutlichen Druckpunkt bei der Bedienung, beim Drücken wie
          117  + beim Loslassen „knackt“ es etwas.
          118  + Doch das ist nicht bei allen Tastern so.
          119  + Das Experiment mit einem robusten Taster (
          120  +\series bold
          121  +Abb.
          122  +\begin_inset CommandInset ref
          123  +LatexCommand ref
          124  +reference "fig2"
          125  +
          126  +\end_inset
          127  +
          128  +b
          129  +\series default
          130  +) zeigt, dass solch ein Taster keinen sauberen Schaltzeitpunkt hat, der
          131  + Pegel am Portpin fällt nicht nur einmal, sondern springt eine Weile hin
          132  + und her.
          133  + Dieser Taster prellt.
          134  + Für etwa 4.5ms gibt er immer wieder H- und L-Pegel in rascher Folge (
          135  +\series bold
          136  +Abb.
          137  +\begin_inset CommandInset ref
          138  +LatexCommand ref
          139  +reference "fig3"
          140  +
          141  +\end_inset
          142  +
          143  +
          144  +\series default
          145  +).
          146  + 
          147  +\end_layout
          148  +
          149  +\begin_layout Standard
          150  +Um auch von solch einem Taster ein klares „gedrückt“ oder „nicht-gedrückt“
          151  + zu erhalten, muss entprellt werden, was per Software gemacht werden kann.
          152  + Das folgende kleine Forthprogramm setzt das exemplarisch um.
          153  + Damit ist es möglich zu ermitteln, ob der Taster erneut gedrückt wurde,
          154  + oder noch nicht .
          155  + Bei weiter gedrückt gehaltenem Taster erfolgt keine Reaktion mehr, er muss
          156  + erst losgelassen werden, um den nächsten Tastendruck einlesen zu können.
          157  + Das funktioniert also wie ein Auffangregister (Latch) mit Reset.
          158  + 
          159  +\end_layout
          160  +
          161  +\begin_layout Standard
          162  +\begin_inset Float figure
          163  +wide false
          164  +sideways false
          165  +status collapsed
          166  +
          167  +\begin_layout Plain Layout
          168  +\align center
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          170  +	filename kalus-taster/2taster.eps
          171  +	width 90col%
          172  +
          173  +\end_inset
          174  +
          175  +
          176  +\end_layout
          177  +
          178  +\begin_layout Plain Layout
          179  +\begin_inset Caption
          180  +
          181  +\begin_layout Plain Layout
          182  +\begin_inset CommandInset label
          183  +LatexCommand label
          184  +name "fig2"
          185  +
          186  +\end_inset
          187  +
          188  +Zwei Typen von Tastern: a) Drucktaster wie auf dem LaunchPad, 24V/DC.
          189  + b) robuster Drucktaster 250V/AC.
          190  +\end_layout
          191  +
          192  +\end_inset
          193  +
          194  +
          195  +\end_layout
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          227  +\end_inset
          228  +
          229  +Saubere Flanke am Launchpad-Taster Typ a)
          230  +\end_layout
          231  +
          232  +\end_inset
          233  +
          234  +
          235  +\end_layout
          236  +
          237  +\end_inset
          238  +
          239  +
          240  +\end_layout
          241  +
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          244  +wide false
          245  +sideways false
          246  +status collapsed
          247  +
          248  +\begin_layout Plain Layout
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          251  +	filename kalus-taster/taster-bild3.jpg
          252  +	width 90col%
          253  +
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          255  +
          256  +
          257  +\end_layout
          258  +
          259  +\begin_layout Plain Layout
          260  +\begin_inset Caption
          261  +
          262  +\begin_layout Plain Layout
          263  +\begin_inset CommandInset label
          264  +LatexCommand label
          265  +name "fig3"
          266  +
          267  +\end_inset
          268  +
          269  +Taster Typ b) prellt
          270  +\end_layout
          271  +
          272  +\end_inset
          273  +
          274  +
          275  +\end_layout
          276  +
          277  +\begin_layout Plain Layout
          278  +
          279  +\end_layout
          280  +
          281  +\end_inset
          282  +
          283  +
          284  +\end_layout
          285  +
          286  +\begin_layout Section
          287  +Schaltung
          288  +\end_layout
          289  +
          290  +\begin_layout Standard
          291  +Die Schaltung für das Experiment ist denkbar einfach:
          292  +\end_layout
          293  +
          294  +\begin_layout Standard
          295  +\begin_inset listings
          296  +inline false
          297  +status open
          298  +
          299  +\begin_layout Plain Layout
          300  +
          301  +P1.3 --- S2 --- GND
          302  +\end_layout
          303  +
          304  +\end_inset
          305  +
          306  +
          307  +\end_layout
          308  +
          309  +\begin_layout Standard
          310  +Der Portpin wird als digitaler Eingang geschaltet.
          311  + Im Beispiel ist Pin3 von Port1 der MCU MSP430G2553 auf dem LaunchPad über
          312  + den Taster S2 direkt mit Masse (GND) verbunden.
          313  + Das geht ohne weiteres.
          314  + Ein interner Pullup-Widerstand liefert den positiven Spannungspegel.
          315  +\end_layout
          316  +
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          419  +
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          421  +Logik des Tasters
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          425  +
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          432  +
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          434  +
          435  +
          436  +\end_layout
          437  +
          438  +\begin_layout Section
          439  +Digitalen Eingang pollen
          440  +\end_layout
          441  +
          442  +\begin_layout Standard
          443  +Um das Ganze zu demonstrieren, habe ich einen Binärzähler gemacht.
          444  + Mit jedem Tastendruck wird der Zähler um eins erhöht.
          445  + Das klappt auch, wenn statt des LaunchPad-Tasters der 
          446  +\begin_inset Quotes gld
          447  +\end_inset
          448  +
          449  +olle
          450  +\begin_inset Quotes grd
          451  +\end_inset
          452  +
          453  + Taster angeschlossen wird.
          454  + Oder mit einem einfachen Draht an Stelle des Tasters S2, mit dem man die
          455  + Masse antippt.
          456  + Probiert's mal aus.
          457  + Prinzip: Warten bis der Pegel sicher unten ist.
          458  + Dann ist der Taster stetig gedrückt.
          459  + Die nötige Wartezeit kann ausprobiert werden.
          460  + Dann muss noch ein Merker mitgeführt werden, an dem man erkennen kann,
          461  + das der Taster erneut gedrückt worden ist, also der Pegel zwischenzeitlich
          462  + wieder hoch war.
          463  + Der Merker wurde in diesem Beipiel auf dem Stack mitgeführt.
          464  +\end_layout
          465  +
          466  +\begin_layout Section
          467  +Interruptflag abfragen
          468  +\end_layout
          469  +
          470  +\begin_layout Standard
          471  +Die Hardware der meisten MCUs unterstützt so etwas bereits, indem sie Flanken
          472  + am Portpin erkennen kann.
          473  + Dieses Pin-Verhalten muss per Software angewählt werden.
          474  + Dazu wird ein Flag in einem Register gesetzt.
          475  + Im MSP430 heißt es Portpin-Interrupt-Flag-Register P1IFG.
          476  + Dieses Flag wird dann gesetzt, wenn eine Flanke im Spannungsverlauf am
          477  + Input-Pin kommt.
          478  + Man kann einstellen, ob eine steigende oder fallende Flanke der Auslöser
          479  + sein soll.
          480  + Einmal ausgelöst, bleibt das Flag solange gesetzt, bis man es per Software
          481  + wieder zurücksetzt.
          482  + Die Abfrage, ob der Taster gedrückt worden war, reduziert sich damit darauf,
          483  + das Flag auszulesen.
          484  + Ist es gesetzt, war der Taster gedrückt - vermutlich jedenfalls, solange
          485  + man kein Rauschen oder Störpegel auf der Leitung zum Taster hat, die den
          486  + Pin auch auslösen (triggern) könnten.
          487  + Damit ist die Aufgabe also elegant zu lösen.
          488  + Man muss lediglich etwas warten, bis das Prellen abgeklungen ist, bevor
          489  + man den Trigger wieder scharf schaltet - reset des flag - um den nächsten
          490  + Tastendruck mitzukriegen.
          491  + Auch für diese Variante ist ein Binärzähler-Beispiel angegeben.
          492  +\end_layout
          493  +
          494  +\begin_layout Standard
          495  +Weitere Experimente findet ihr auf der forth-ev Wiki-Seite mit den grundlegenden
          496  + Experimenten zu einer MCU.
          497  + Viel Vergnügen.
          498  + 
          499  +\end_layout
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          527  +http://www.forth-ev.de/wiki/doku.php/projects:4e4th:4e4th:start:msp430g2553_experim
          528  +ente:input
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Added 2014-03/taster.lyx~.

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            2  +\lyxformat 413
            3  +\begin_document
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           59  +\end_header
           60  +
           61  +\begin_body
           62  +
           63  +\begin_layout Title
           64  +Grundlegende Experimente mit einer MCU - Taster abfragen
           65  +\end_layout
           66  +
           67  +\begin_layout Author
           68  +Michael Kalus
           69  +\end_layout
           70  +
           71  +\begin_layout Abstract
           72  +
           73  +\emph on
           74  +Ist der Taster gedrückt oder nicht? Das klingt nach einer einfachen Sache.
           75  + Um das zu überprüfen, wurde das Verhalten zweier Taster unterschiedlicher
           76  + Bauart untersucht.
           77  + In den anschließenden Übungen wird ein Taster abgefragt.
           78  + Dabei soll erreicht werden, dass der Taster wieder losgelassen werden muss,
           79  + um erneut aktiv sein zu dürfen.
           80  +\end_layout
           81  +
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           83  +\begin_inset ERT
           84  +status open
           85  +
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           91  +\end_layout
           92  +
           93  +\end_inset
           94  +
           95  +
           96  +\end_layout
           97  +
           98  +\begin_layout Section
           99  +Tasterverhalten
          100  +\end_layout
          101  +
          102  +\begin_layout Standard
          103  +Die 
          104  +\series bold
          105  +Abb.
          106  +\begin_inset CommandInset ref
          107  +LatexCommand ref
          108  +reference "fig1"
          109  +
          110  +\end_inset
          111  +
          112  +
          113  +\series default
          114  + zeigt das Verhalten des LaunchPad--Tasters, aufgenommen mit einem Speicheroszil
          115  +loskop.
          116  + Da ist eine recht saubere fallende Flanke, wenn der Taster gedrückt wird.
          117  + Es gibt einen deutlichen Druckpunkt bei der Bedienung, beim Drücken wie
          118  + beim Loslassen „knackt“ es etwas.
          119  + Doch das ist nicht bei allen Tastern so.
          120  + Das Experiment mit einem robusten Taster (
          121  +\series bold
          122  +Abb.
          123  +\begin_inset CommandInset ref
          124  +LatexCommand ref
          125  +reference "fig2"
          126  +
          127  +\end_inset
          128  +
          129  +b
          130  +\series default
          131  +) zeigt, dass solch ein Taster keinen sauberen Schaltzeitpunkt hat, der
          132  + Pegel am Portpin fällt nicht nur einmal, sondern springt eine Weile hin
          133  + und her.
          134  + Dieser Taster prellt.
          135  + Für etwa 4.5ms gibt er immer wieder H- und L-Pegel in rascher Folge (
          136  +\series bold
          137  +Abb.
          138  +\begin_inset CommandInset ref
          139  +LatexCommand ref
          140  +reference "fig3"
          141  +
          142  +\end_inset
          143  +
          144  +
          145  +\series default
          146  +).
          147  + 
          148  +\end_layout
          149  +
          150  +\begin_layout Standard
          151  +Um auch von solch einem Taster ein klares „gedrückt“ oder „nicht-gedrückt“
          152  + zu erhalten, muss entprellt werden, was per Software gemacht werden kann.
          153  + Das folgende kleine Forthprogramm setzt das exemplarisch um.
          154  + Damit ist es möglich zu ermitteln, ob der Taster erneut gedrückt wurde,
          155  + oder noch nicht .
          156  + Bei weiter gedrückt gehaltenem Taster erfolgt keine Reaktion mehr, er muss
          157  + erst losgelassen werden, um den nächsten Tastendruck einlesen zu können.
          158  + Das funktioniert also wie ein Auffangregister (Latch) mit Reset.
          159  + 
          160  +\end_layout
          161  +
          162  +\begin_layout Standard
          163  +\begin_inset Float figure
          164  +wide false
          165  +sideways false
          166  +status collapsed
          167  +
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          171  +	filename kalus-taster/2taster.eps
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          173  +
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          175  +
          176  +
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          178  +
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          180  +\begin_inset Caption
          181  +
          182  +\begin_layout Plain Layout
          183  +\begin_inset CommandInset label
          184  +LatexCommand label
          185  +name "fig2"
          186  +
          187  +\end_inset
          188  +
          189  +Zwei Typen von Tastern: a) Drucktaster wie auf dem LaunchPad, 24V/DC.
          190  + b) robuster Drucktaster 250V/AC.
          191  +\end_layout
          192  +
          193  +\end_inset
          194  +
          195  +
          196  +\end_layout
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          212  +	filename kalus-taster/taster-bild12.jpg
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          225  +LatexCommand label
          226  +name "fig1"
          227  +
          228  +\end_inset
          229  +
          230  +Saubere Flanke am Launchpad-Taster Typ a)
          231  +\end_layout
          232  +
          233  +\end_inset
          234  +
          235  +
          236  +\end_layout
          237  +
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          246  +sideways false
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          250  +\align center
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          252  +	filename kalus-taster/taster-bild3.jpg
          253  +	width 90col%
          254  +
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          259  +
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          261  +\begin_inset Caption
          262  +
          263  +\begin_layout Plain Layout
          264  +\begin_inset CommandInset label
          265  +LatexCommand label
          266  +name "fig3"
          267  +
          268  +\end_inset
          269  +
          270  +Taster Typ b) prellt
          271  +\end_layout
          272  +
          273  +\end_inset
          274  +
          275  +
          276  +\end_layout
          277  +
          278  +\begin_layout Plain Layout
          279  +
          280  +\end_layout
          281  +
          282  +\end_inset
          283  +
          284  +
          285  +\end_layout
          286  +
          287  +\begin_layout Section
          288  +Schaltung
          289  +\end_layout
          290  +
          291  +\begin_layout Standard
          292  +Die Schaltung für das Experiment ist denkbar einfach:
          293  +\end_layout
          294  +
          295  +\begin_layout Standard
          296  +\begin_inset listings
          297  +inline false
          298  +status open
          299  +
          300  +\begin_layout Plain Layout
          301  +
          302  +P1.3 --- S2 --- GND
          303  +\end_layout
          304  +
          305  +\end_inset
          306  +
          307  +
          308  +\end_layout
          309  +
          310  +\begin_layout Standard
          311  +Der Portpin wird als digitaler Eingang geschaltet.
          312  + Im Beispiel ist Pin3 von Port1 der MCU MSP430G2553 auf dem LaunchPad über
          313  + den Taster S2 direkt mit Masse (GND) verbunden.
          314  + Das geht ohne weiteres.
          315  + Ein interner Pullup-Widerstand liefert den positiven Spannungspegel.
          316  +\end_layout
          317  +
          318  +\begin_layout Standard
          319  +\begin_inset Float table
          320  +wide false
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          326  +\begin_inset Tabular
          327  +<lyxtabular version="3" rows="4" columns="2">
          328  +<features tabularvalignment="middle">
          329  +<column alignment="center" valignment="top" width="0">
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          346  +\end_layout
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          394  +
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          396  +3.6V
          397  +\end_layout
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          402  +\begin_inset Text
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          405  +0V
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          411  +</lyxtabular>
          412  +
          413  +\end_inset
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          415  +
          416  +\end_layout
          417  +
          418  +\begin_layout Plain Layout
          419  +\begin_inset Caption
          420  +
          421  +\begin_layout Plain Layout
          422  +Logik des Tasters
          423  +\end_layout
          424  +
          425  +\end_inset
          426  +
          427  +
          428  +\end_layout
          429  +
          430  +\begin_layout Plain Layout
          431  +
          432  +\end_layout
          433  +
          434  +\end_inset
          435  +
          436  +
          437  +\end_layout
          438  +
          439  +\begin_layout Section
          440  +Digitalen Eingang pollen
          441  +\end_layout
          442  +
          443  +\begin_layout Standard
          444  +Um das Ganze zu demonstrieren, habe ich einen Binärzähler gemacht.
          445  + Mit jedem Tastendruck wird der Zähler um eins erhöht.
          446  + Das klappt auch, wenn statt des LaunchPad-Tasters der 
          447  +\begin_inset Quotes gld
          448  +\end_inset
          449  +
          450  +olle
          451  +\begin_inset Quotes grd
          452  +\end_inset
          453  +
          454  + Taster angeschlossen wird.
          455  + Oder mit einem einfachen Draht an Stelle des Tasters S2, mit dem man die
          456  + Masse antippt.
          457  + Probiert's mal aus.
          458  + Prinzip: Warten bis der Pegel sicher unten ist.
          459  + Dann ist der Taster stetig gedrückt.
          460  + Die nötige Wartezeit kann ausprobiert werden.
          461  + Dann muss noch ein Merker mitgeführt werden, an dem man erkennen kann,
          462  + das der Taster erneut gedrückt worden ist, also der Pegel zwischenzeitlich
          463  + wieder hoch war.
          464  + Der Merker wurde in diesem Beipiel auf dem Stack mitgeführt.
          465  +\end_layout
          466  +
          467  +\begin_layout Section
          468  +Interruptflag abfragen
          469  +\end_layout
          470  +
          471  +\begin_layout Standard
          472  +Die Hardware der meisten MCUs unterstützt so etwas bereits, indem sie Flanken
          473  + am Portpin erkennen kann.
          474  + Dieses Pin-Verhalten muss per Software angewählt werden.
          475  + Dazu wird ein Flag in einem Register gesetzt.
          476  + Im MSP430 heißt es Portpin-Interrupt-Flag-Register P1IFG.
          477  + Dieses Flag wird dann gesetzt, wenn eine Flanke im Spannungsverlauf am
          478  + Input-Pin kommt.
          479  + Man kann einstellen, ob eine steigende oder fallende Flanke der Auslöser
          480  + sein soll.
          481  + Einmal ausgelöst, bleibt das Flag solange gesetzt, bis man es per Software
          482  + wieder zurücksetzt.
          483  + Die Abfrage, ob der Taster gedrückt worden war, reduziert sich damit darauf,
          484  + das Flag auszulesen.
          485  + Ist es gesetzt, war der Taster gedrückt - vermutlich jedenfalls, solange
          486  + man kein Rauschen oder Störpegel auf der Leitung zum Taster hat, die den
          487  + Pin auch auslösen (triggern) könnten.
          488  + Damit ist die Aufgabe also elegant zu lösen.
          489  + Man muss lediglich etwas warten, bis das Prellen abgeklungen ist, bevor
          490  + man den Trigger wieder scharf schaltet - reset des flag - um den nächsten
          491  + Tastendruck mitzukriegen.
          492  + Auch für diese Variante ist ein Binärzähler-Beispiel angegeben.
          493  +\end_layout
          494  +
          495  +\begin_layout Standard
          496  +Weitere Experimente findet ihr auf der forth-ev Wiki-Seite mit den grundlegenden
          497  + Experimenten zu einer MCU.
          498  + Viel Vergnügen.
          499  + 
          500  +\end_layout
          501  +
          502  +\begin_layout Standard
          503  +\begin_inset ERT
          504  +status open
          505  +
          506  +\begin_layout Plain Layout
          507  +
          508  +
          509  +\backslash
          510  +end{multicols}
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          514  +
          515  +
          516  +\end_layout
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          519  +Link
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          528  +http://www.forth-ev.de/wiki/doku.php/projects:4e4th:4e4th:start:msp430g2553_experim
          529  +ente:input
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          544  +\backslash
          545  +begin{multicols}{2}
          546  +\end_layout
          547  +
          548  +\end_inset
          549  +
          550  +
          551  +\end_layout
          552  +
          553  +\begin_layout Section
          554  +Listing
          555  +\end_layout
          556  +
          557  +\begin_layout Standard
          558  +
          559  +\size footnotesize
          560  +\begin_inset ERT
          561  +status open
          562  +
          563  +\begin_layout Plain Layout
          564  +
          565  +
          566  +\backslash
          567  +listinginput[1]{1}{2014-03/kalus-taster/taster-listing.4th}
          568  +\end_layout
          569  +
          570  +\end_inset
          571  +
          572  +
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          577  +status open
          578  +
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          580  +
          581  +
          582  +\backslash
          583  +end{multicols}
          584  +\end_layout
          585  +
          586  +\end_inset
          587  +
          588  +
          589  +\end_layout
          590  +
          591  +\end_body
          592  +\end_document

Added 2014-03/taster.tex.

            1  +%% LyX 2.1.2 created this file.  For more info, see http://www.lyx.org/.
            2  +%% Do not edit unless you really know what you are doing.
            3  +\documentclass[ngerman]{article}
            4  +\usepackage[T1]{fontenc}
            5  +\usepackage[utf8x]{inputenc}
            6  +\usepackage{url}
            7  +\usepackage{graphicx}
            8  +
            9  +\makeatletter
           10  +
           11  +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands.
           12  +%%% Because html converters don't know tabularnewline
           13  +%\providecommand{\tabularnewline}{\\}
           14  +
           15  +\makeatother
           16  +
           17  +\usepackage{babel}
           18  +\usepackage{listings}
           19  +\renewcommand{\lstlistingname}{Listing}
           20  +
           21  +\begin{document}
           22  +
           23  +\title{Grundlegende Experimente mit einer MCU --- Taster abfragen}
           24  +
           25  +
           26  +\author{Michael Kalus}
           27  +\maketitle
           28  +\begin{abstract}
           29  +\emph{Ist der Taster gedrückt oder nicht? Das klingt nach einer einfachen
           30  +Sache. Um das zu überprüfen, wurde das Verhalten zweier Taster unterschiedlicher
           31  +Bauart untersucht. In den anschließenden Übungen wird ein Taster abgefragt.
           32  +Dabei soll erreicht werden, dass der Taster wieder losgelassen werden
           33  +muss, um erneut aktiv sein zu dürfen.}
           34  +\end{abstract}
           35  +\begin{multicols}{2}
           36  +
           37  +
           38  +\section{Tasterverhalten}
           39  +
           40  +Die \textbf{Abb.\ref{fig1}} zeigt das Verhalten des LaunchPad--Tasters,
           41  +aufgenommen mit einem Speicheroszilloskop. Da ist eine recht saubere
           42  +fallende Flanke, wenn der Taster gedrückt wird. Es gibt einen deutlichen
           43  +Druckpunkt bei der Bedienung, beim Drücken wie beim Loslassen „knackt“
           44  +es etwas. Doch das ist nicht bei allen Tastern so. Das Experiment
           45  +mit einem robusten Taster (\textbf{Abb.\ref{fig2}b}) zeigt, dass
           46  +solch ein Taster keinen sauberen Schaltzeitpunkt hat, der Pegel am
           47  +Portpin fällt nicht nur einmal, sondern springt eine Weile hin und
           48  +her. Dieser Taster prellt. Für etwa 4.5ms gibt er immer wieder H-
           49  +und L-Pegel in rascher Folge (\textbf{Abb.\ref{fig3}}). 
           50  +
           51  +Um auch von solch einem Taster ein klares „gedrückt“ oder „nicht-gedrückt“
           52  +zu erhalten, muss entprellt werden, was per Software gemacht werden
           53  +kann. Das folgende kleine Forthprogramm setzt das exemplarisch um.
           54  +Damit ist es möglich zu ermitteln, ob der Taster erneut gedrückt wurde,
           55  +oder noch nicht . Bei weiter gedrückt gehaltenem Taster erfolgt keine
           56  +Reaktion mehr, er muss erst losgelassen werden, um den nächsten Tastendruck
           57  +einlesen zu können. Das funktioniert also wie ein Auffangregister
           58  +(Latch) mit Reset. 
           59  +
           60  +\begin{figure}
           61  +\begin{centering}
           62  +\includegraphics[width=0.9\columnwidth]{2014-03/kalus-taster/2taster}
           63  +\par\end{centering}
           64  +
           65  +\protect\caption{\label{fig2}Zwei Typen von Tastern: a) Drucktaster wie auf dem LaunchPad,
           66  +24V/DC. b) robuster Drucktaster 250V/AC.}
           67  +\end{figure}
           68  +
           69  +
           70  +\begin{figure}
           71  +\begin{centering}
           72  +\includegraphics[width=0.9\columnwidth]{2014-03/kalus-taster/taster-bild12}
           73  +\par\end{centering}
           74  +
           75  +\protect\caption{\label{fig1}Saubere Flanke am Launchpad-Taster Typ a)}
           76  +\end{figure}
           77  +
           78  +
           79  +\begin{figure}
           80  +\begin{centering}
           81  +\includegraphics[width=0.9\columnwidth]{2014-03/kalus-taster/taster-bild3}
           82  +\par\end{centering}
           83  +
           84  +\protect\caption{\label{fig3}Taster Typ b) prellt}
           85  +
           86  +
           87  +\end{figure}
           88  +
           89  +
           90  +
           91  +\section{Schaltung}
           92  +
           93  +Die Schaltung für das Experiment ist denkbar einfach:
           94  +
           95  +\inputencoding{latin9}\begin{lstlisting}
           96  +P1.3 --- S2 --- GND
           97  +\end{lstlisting}
           98  +\inputencoding{utf8x}
           99  +
          100  +Der Portpin wird als digitaler Eingang geschaltet. Im Beispiel ist
          101  +Pin3 von Port1 der MCU MSP430G2553 auf dem LaunchPad über den Taster
          102  +S2 direkt mit Masse (GND) verbunden. Das geht ohne weiteres. Ein interner
          103  +Pullup-Widerstand liefert den positiven Spannungspegel.
          104  +
          105  +\begin{table}
          106  +\begin{centering}
          107  +\begin{tabular}{|c|c|}
          108  +\hline 
          109  +offen & gedrückt\tabularnewline
          110  +\hline 
          111  +false & true\tabularnewline
          112  +\hline 
          113  +\hline 
          114  +H & L\tabularnewline
          115  +\hline 
          116  +3.6V & 0V\tabularnewline
          117  +\hline 
          118  +\end{tabular}
          119  +\par\end{centering}
          120  +
          121  +\protect\caption{Logik des Tasters}
          122  +
          123  +
          124  +\end{table}
          125  +
          126  +
          127  +
          128  +\section{Digitalen Eingang pollen}
          129  +
          130  +Um das Ganze zu demonstrieren, habe ich einen Binärzähler gemacht.
          131  +Mit jedem Tastendruck wird der Zähler um eins erhöht. Das klappt auch,
          132  +wenn statt des LaunchPad-Tasters der ,,olle`` Taster angeschlossen
          133  +wird. Oder mit einem einfachen Draht an Stelle des Tasters S2, mit
          134  +dem man die Masse antippt. Probiert's mal aus. Prinzip: Warten bis
          135  +der Pegel sicher unten ist. Dann ist der Taster stetig gedrückt. Die
          136  +nötige Wartezeit kann ausprobiert werden. Dann muss noch ein Merker
          137  +mitgeführt werden, an dem man erkennen kann, das der Taster erneut
          138  +gedrückt worden ist, also der Pegel zwischenzeitlich wieder hoch war.
          139  +Der Merker wurde in diesem Beipiel auf dem Stack mitgeführt.
          140  +
          141  +
          142  +\section{Interruptflag abfragen}
          143  +
          144  +Die Hardware der meisten MCUs unterstützt so etwas bereits, indem
          145  +sie Flanken am Portpin erkennen kann. Dieses Pin-Verhalten muss per
          146  +Software angewählt werden. Dazu wird ein Flag in einem Register gesetzt.
          147  +Im MSP430 heißt es Portpin-Interrupt-Flag-Register P1IFG. Dieses Flag
          148  +wird dann gesetzt, wenn eine Flanke im Spannungsverlauf am Input-Pin
          149  +kommt. Man kann einstellen, ob eine steigende oder fallende Flanke
          150  +der Auslöser sein soll. Einmal ausgelöst, bleibt das Flag solange
          151  +gesetzt, bis man es per Software wieder zurücksetzt. Die Abfrage,
          152  +ob der Taster gedrückt worden war, reduziert sich damit darauf, das
          153  +Flag auszulesen. Ist es gesetzt, war der Taster gedrückt - vermutlich
          154  +jedenfalls, solange man kein Rauschen oder Störpegel auf der Leitung
          155  +zum Taster hat, die den Pin auch auslösen (triggern) könnten. Damit
          156  +ist die Aufgabe also elegant zu lösen. Man muss lediglich etwas warten,
          157  +bis das Prellen abgeklungen ist, bevor man den Trigger wieder scharf
          158  +schaltet - reset des flag - um den nächsten Tastendruck mitzukriegen.
          159  +Auch für diese Variante ist ein Binärzähler-Beispiel angegeben.
          160  +
          161  +Weitere Experimente findet ihr auf der forth-ev Wiki-Seite mit den
          162  +grundlegenden Experimenten zu einer MCU. Viel Vergnügen. 
          163  +
          164  +\end{multicols}
          165  +
          166  +
          167  +\section{Link}
          168  +
          169  +\url{http://www.forth-ev.de/wiki/doku.php/projects:4e4th:4e4th:start:msp430g2553_experimente:input}
          170  +
          171  +\begin{multicols}{2}
          172  +
          173  +
          174  +\section{Listing}
          175  +
          176  +{\footnotesize{}\listinginput[1]{1}{2014-03/kalus-taster/taster-listing.4th}}{\footnotesize \par}
          177  +
          178  +\end{multicols}
          179  +\end{document}

Added 2014-03/vd-analog.fs.

            1  +
            2  +$40048080 constant SYSAHBCLKCTRL \ Clock control register
            3  +$40048238 constant PDRUNCFG       \ Power-down configuration register
            4  +
            5  +$40044078 constant IOCON_PIO1_0
            6  +$4004407C constant IOCON_PIO1_1
            7  +$40044080 constant IOCON_PIO1_2
            8  +$40044090 constant IOCON_PIO1_3
            9  +
           10  +$50013FFC constant P1DATA
           11  +$50018000 constant P1DIR
           12  +
           13  +$4001C000 constant AD0CR  \  AD-Wandler Control Register
           14  +$4001C004 constant AD0GDR  \            Global Data Register
           15  +
           16  +
           17  +: farbsensor-init ( -- )        \ Vorbereitungen für den Farbsensor
           18  +  1 13 lshift SYSAHBCLKCTRL bis! \ Takt für AD-Wandler einschalten
           19  +  1  4 lshift PDRUNCFG bic!       \ Stromaus-Bit des AD-Wandlers löschen
           20  +
           21  +  $C1 IOCON_PIO1_1 ! \ P1.1 sei digitaler IO-Pin ohne Sonderfunktionen,
           22  +  2 P1DIR !           \     Ausgang
           23  +  0 P1DATA !           \            low
           24  +
           25  +  $42 IOCON_PIO1_0 ! \ P1.0 sei analoger Eingang
           26  +  $42 IOCON_PIO1_2 ! \ P1.2 ...
           27  +  $42 IOCON_PIO1_3 ! \ P1.3 ...
           28  +;
           29  +
           30  +: analog ( Kanal -- Messwert ) \ Einen analogen Eingang wandeln
           31  +  1 swap lshift \ Kanal wählen
           32  +  4  8 lshift or \ CLKDIV = 4 --> 12 Mhz / 4 = 3 MHz < 4.5 MHz Maximum.
           33  +  1 24 lshift or  \ Messung starten
           34  +  AD0CR !
           35  +
           36  +  begin 1 31 lshift AD0GDR bit@ until \ Auf das Wandlungsende warten
           37  +  AD0GDR @ 6 rshift $3FF and           \ Messergebnis passend schieben
           38  +;
           39  +
           40  +: farbsensor ( -- )
           41  +  farbsensor-init
           42  +  begin
           43  +    1 analog ." Rot: " u.
           44  +    3 analog ." Grün: " u.
           45  +    4 analog ." Blau: " u.
           46  +    cr
           47  +  key? until
           48  +;

Added 2014-03/vd-digital.fs.

            1  +
            2  +$D0 $40044010 ! ( P0.1 als digitalen IO-Pin mit internem Pullup für den Taster konfigurieren )
            3  +
            4  +$C1 $40044078 ! ( P1.0 als digitalen IO-Pin ohne Sonderfunktionen konfigurieren ) 
            5  +$C1 $4004407C ! ( P1.1 ... )
            6  +$C1 $40044080 ! ( P1.2 ... )
            7  +$C1 $40044090 ! ( P1.3 ... )
            8  +
            9  +$50003FFC constant P0DATA
           10  +$50008000 constant P0DIR
           11  +
           12  +$50013FFC constant P1DATA
           13  +$50018000 constant P1DIR
           14  +
           15  +0 P0DIR ! 
           16  +%1111 P1DIR !
           17  +
           18  +: taster? 2 P0DATA bit@ ;
           19  +: rotgrün begin taster? if %0001 P1DATA ! else %0100 P1DATA ! then key? until ;
           20  +

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  1044         -LGR\textlambda already defined.
  1045         -LGR\textmu already defined.
  1046         -LGR\textnu already defined.
  1047         -LGR\textomicron already defined.
  1048         -LGR\textpi already defined.
  1049         -LGR\textchi already defined.
  1050         -LGR\textrho already defined.
  1051         -LGR\textautosigma already defined.
  1052         -LGR\textsigma already defined.
  1053         -LGR\texttau already defined.
  1054         -LGR\textupsilon already defined.
  1055         -LGR\textomega already defined.
  1056         -LGR\textxi already defined.
  1057         -LGR\textpsi already defined.
  1058         -LGR\textzeta already defined.
  1059         -LGR\guillemotleft already defined.
  1060         -LGR\guillemotright already defined.
  1061         -LGR\~ already defined.
  1062         -LGR\textemdash already defined.
  1063         -LGR\textdigamma already defined.
  1064         -LGR\textDigamma already defined.
  1065         -
  1066         -fontencoding LGR patched
  1067         -)
  1068         -\AtBeginShipoutBox=\box74
  1069         -Package hyperref Info: Link coloring ON on input line 88.
  1070         - (/usr/share/texmf/tex/latex/hyperref/nameref.sty
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  1072         -
  1073         -(/usr/share/texmf/tex/generic/oberdiek/gettitlestring.sty
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  1075         -)
  1076         -\c@section@level=\count190
  1077         -LaTeX Info: Redefining \Ref on input line 513.
  1078         -)
  1079         -LaTeX Info: Redefining \ref on input line 88.
  1080         -LaTeX Info: Redefining \pageref on input line 88.
  1081         -LaTeX Info: Redefining \nameref on input line 88.
  1082         - (./4d2014-03.out)
  1083         -(./4d2014-03.out
  1084         -pdfTeX warning (Object streams): \pdfobjcompresslevel > 0 requires \pdfminorver
  1085         -sion > 4. Object streams disabled now.
  1086         -)
  1087         -\@outlinefile=\write5
  1088         -\openout5 = `4d2014-03.out'.
  1089         -
  1090         -LaTeX Info: Redefining \Ref on input line 88.
  1091         - (/usr/share/texmf/tex/context/base/supp-pdf.mkii
  1092         -[Loading MPS to PDF converter (version 2006.09.02).]
  1093         -\scratchcounter=\count191
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  1101         -\MPnumerator=\count195
  1102         -\makeMPintoPDFobject=\count196
  1103         -\everyMPtoPDFconversion=\toks47
  1104         -) (/usr/share/texmf/tex/latex/oberdiek/epstopdf-base.sty
  1105         -Package: epstopdf-base 2010/02/09 v2.5 Base part for package epstopdf
  1106         -
  1107         -(/usr/share/texmf/tex/latex/oberdiek/grfext.sty
  1108         -Package: grfext 2010/08/19 v1.1 Manage graphics extensions (HO)
  1109         -)
  1110         -Package grfext Info: Graphics extension search list:
  1111         -(grfext)             [.png,.pdf,.jpg,.mps,.jpeg,.jbig2,.jb2,.PNG,.PDF,.JPG,.JPE
  1112         -G,.JBIG2,.JB2,.eps]
  1113         -(grfext)             \AppendGraphicsExtensions on input line 452.
  1114         -
  1115         -(/usr/share/texmf/tex/latex/latexconfig/epstopdf-sys.cfg
  1116         -File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv
  1117         -e
  1118         -))
  1119         -*geometry* driver: auto-detecting
  1120         -*geometry* detected driver: pdftex
  1121         -
  1122         -Package geometry Warning: The marginal notes overrun the paper.
  1123         -     Add 69.40395pt and more to the right margin.
  1124         -
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  1150         -* \mag=1000
  1151         -* \@twocolumnfalse
  1152         -* \@twosidetrue
  1153         -* \@mparswitchtrue
  1154         -* \@reversemarginfalse
  1155         -* (1in=72.27pt=25.4mm, 1cm=28.453pt)
  1156         -
  1157         -\c@lstlisting=\count197
  1158         -ABD: EveryShipout initializing macros
  1159         -Package pdfcprot Info: I didn't find cmrbxnT1.cpa.
  1160         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1161         -
  1162         -
  1163         -(/usr/share/texmf/tex/latex/pdfcprot/pplmnT1.cpa)
  1164         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1165         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1166         -(pdfcprot)             you intended to use. on input line 88.
  1167         -Package pdfcprot Info: I didn't find cmrbxnTS1.cpa.
  1168         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1169         -.
  1170         -
  1171         -(/usr/share/texmf/tex/latex/pdfcprot/pplmnTS1.cpa)
  1172         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1173         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1174         -(pdfcprot)             you intended to use. on input line 88.
  1175         -Package pdfcprot Info: I didn't find cmrbxnT1.cpa.
  1176         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1177         -
  1178         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1179         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1180         -(pdfcprot)             you intended to use. on input line 88.
  1181         -Package pdfcprot Info: I didn't find cmrbxnTS1.cpa.
  1182         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1183         -.
  1184         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1185         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1186         -(pdfcprot)             you intended to use. on input line 88.
  1187         -Package pdfcprot Info: I didn't find cmrbxnT1.cpa.
  1188         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1189         -
  1190         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1191         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1192         -(pdfcprot)             you intended to use. on input line 88.
  1193         -Package pdfcprot Info: I didn't find cmrbxnTS1.cpa.
  1194         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1195         -.
  1196         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1197         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1198         -(pdfcprot)             you intended to use. on input line 88.
  1199         -Package pdfcprot Info: I didn't find cmrbxnT1.cpa.
  1200         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1201         -
  1202         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1203         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1204         -(pdfcprot)             you intended to use. on input line 88.
  1205         -Package pdfcprot Info: I didn't find cmrbxnTS1.cpa.
  1206         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1207         -.
  1208         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1209         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1210         -(pdfcprot)             you intended to use. on input line 88.
  1211         -LaTeX Font Info:    Try loading font information for T1+cmss on input line 88.
  1212         -
  1213         -(/usr/share/texmf/tex/latex/base/t1cmss.fd
  1214         -File: t1cmss.fd 1999/05/25 v2.5h Standard LaTeX font definitions
  1215         -)
  1216         -Package pdfcprot Info: I didn't find cmssbxnT1.cpa.
  1217         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1218         -
  1219         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1220         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1221         -(pdfcprot)             you intended to use. on input line 88.
  1222         -LaTeX Font Info:    Try loading font information for TS1+cmss on input line 88.
  1223         -
  1224         -
  1225         -(/usr/share/texmf/tex/latex/base/ts1cmss.fd
  1226         -File: ts1cmss.fd 1999/05/25 v2.5h Standard LaTeX font definitions
  1227         -)
  1228         -Package pdfcprot Info: I didn't find cmssbxnTS1.cpa.
  1229         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1230         -.
  1231         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1232         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1233         -(pdfcprot)             you intended to use. on input line 88.
  1234         -Package pdfcprot Info: I didn't find cmssbxnT1.cpa.
  1235         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1236         -
  1237         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1238         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1239         -(pdfcprot)             you intended to use. on input line 88.
  1240         -Package pdfcprot Info: I didn't find cmssbxnTS1.cpa.
  1241         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1242         -.
  1243         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1244         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1245         -(pdfcprot)             you intended to use. on input line 88.
  1246         -Package pdfcprot Info: I didn't find cmssbxnT1.cpa.
  1247         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1248         -
  1249         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1250         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1251         -(pdfcprot)             you intended to use. on input line 88.
  1252         -Package pdfcprot Info: I didn't find cmssbxnTS1.cpa.
  1253         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1254         -.
  1255         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1256         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1257         -(pdfcprot)             you intended to use. on input line 88.
  1258         -Package pdfcprot Info: I didn't find cmssbxnT1.cpa.
  1259         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1260         -
  1261         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1262         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1263         -(pdfcprot)             you intended to use. on input line 88.
  1264         -Package pdfcprot Info: I didn't find cmssbxnTS1.cpa.
  1265         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1266         -.
  1267         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1268         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1269         -(pdfcprot)             you intended to use. on input line 88.
  1270         -Package pdfcprot Info: I didn't find cmrmnT1.cpa.
  1271         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1272         -
  1273         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1274         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1275         -(pdfcprot)             you intended to use. on input line 88.
  1276         -Package pdfcprot Info: I didn't find cmrmnTS1.cpa.
  1277         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1278         -.
  1279         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1280         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1281         -(pdfcprot)             you intended to use. on input line 88.
  1282         -Package pdfcprot Info: I didn't find cmrmnT1.cpa.
  1283         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1284         -
  1285         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1286         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1287         -(pdfcprot)             you intended to use. on input line 88.
  1288         -Package pdfcprot Info: I didn't find cmrmnTS1.cpa.
  1289         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1290         -.
  1291         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1292         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1293         -(pdfcprot)             you intended to use. on input line 88.
  1294         -Package pdfcprot Info: I didn't find cmrmnT1.cpa.
  1295         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1296         -
  1297         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1298         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1299         -(pdfcprot)             you intended to use. on input line 88.
  1300         -Package pdfcprot Info: I didn't find cmrmnTS1.cpa.
  1301         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1302         -.
  1303         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1304         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1305         -(pdfcprot)             you intended to use. on input line 88.
  1306         -Package pdfcprot Info: I didn't find cmrmnT1.cpa.
  1307         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1308         -
  1309         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1310         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1311         -(pdfcprot)             you intended to use. on input line 88.
  1312         -Package pdfcprot Info: I didn't find cmrmnTS1.cpa.
  1313         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1314         -.
  1315         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1316         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1317         -(pdfcprot)             you intended to use. on input line 88.
  1318         -Package pdfcprot Info: I didn't find cmrmitT1.cpa.
  1319         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1320         -
  1321         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1322         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1323         -(pdfcprot)             you intended to use. on input line 88.
  1324         -Package pdfcprot Info: I didn't find cmrmitTS1.cpa.
  1325         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1326         -.
  1327         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1328         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1329         -(pdfcprot)             you intended to use. on input line 88.
  1330         -Package pdfcprot Info: I didn't find cmrmitT1.cpa.
  1331         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1332         -
  1333         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1334         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1335         -(pdfcprot)             you intended to use. on input line 88.
  1336         -Package pdfcprot Info: I didn't find cmrmitTS1.cpa.
  1337         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1338         -.
  1339         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1340         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1341         -(pdfcprot)             you intended to use. on input line 88.
  1342         -Package pdfcprot Info: I didn't find cmrmitT1.cpa.
  1343         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1344         -
  1345         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1346         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1347         -(pdfcprot)             you intended to use. on input line 88.
  1348         -Package pdfcprot Info: I didn't find cmrmitTS1.cpa.
  1349         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1350         -.
  1351         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1352         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1353         -(pdfcprot)             you intended to use. on input line 88.
  1354         -Package pdfcprot Info: I didn't find cmrmitT1.cpa.
  1355         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1356         -
  1357         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1358         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1359         -(pdfcprot)             you intended to use. on input line 88.
  1360         -Package pdfcprot Info: I didn't find cmrmitTS1.cpa.
  1361         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1362         -.
  1363         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1364         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1365         -(pdfcprot)             you intended to use. on input line 88.
  1366         -Package pdfcprot Info: I didn't find cmssmnT1.cpa.
  1367         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1368         -
  1369         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1370         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1371         -(pdfcprot)             you intended to use. on input line 88.
  1372         -Package pdfcprot Info: I didn't find cmssmnTS1.cpa.
  1373         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1374         -.
  1375         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1376         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1377         -(pdfcprot)             you intended to use. on input line 88.
  1378         -Package pdfcprot Info: I didn't find cmssmnT1.cpa.
  1379         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1380         -
  1381         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1382         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1383         -(pdfcprot)             you intended to use. on input line 88.
  1384         -Package pdfcprot Info: I didn't find cmssmnTS1.cpa.
  1385         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1386         -.
  1387         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1388         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1389         -(pdfcprot)             you intended to use. on input line 88.
  1390         -Package pdfcprot Info: I didn't find cmssmnT1.cpa.
  1391         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1392         -
  1393         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1394         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1395         -(pdfcprot)             you intended to use. on input line 88.
  1396         -Package pdfcprot Info: I didn't find cmssmnTS1.cpa.
  1397         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1398         -.
  1399         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1400         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1401         -(pdfcprot)             you intended to use. on input line 88.
  1402         -Package pdfcprot Info: I didn't find cmssmnT1.cpa.
  1403         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1404         -
  1405         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1406         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1407         -(pdfcprot)             you intended to use. on input line 88.
  1408         -Package pdfcprot Info: I didn't find cmssmnTS1.cpa.
  1409         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1410         -.
  1411         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1412         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1413         -(pdfcprot)             you intended to use. on input line 88.
  1414         -Package pdfcprot Info: I didn't find cmssmitT1.cpa.
  1415         -(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
  1416         -
  1417         -Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
  1418         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1419         -(pdfcprot)             you intended to use. on input line 88.
  1420         -Package pdfcprot Info: I didn't find cmssmitTS1.cpa.
  1421         -(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
  1422         -.
  1423         -Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment
  1424         -(pdfcprot)             of the char protruding. It seems that it isn't the one
  1425         -(pdfcprot)             you intended to use. on input line 88.
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    11     11   {\bf Ewald Rieger}\\
    12     12   Tel.: (0\,62\,39)\,--\,92\,01\,85 (p)\\
    13     13   Treffen: jeden 1. Dienstag im Monat\\
    14     14   {\bf Vereinslokal} Segelverein Mannheim e.V.
    15     15   Flugplatz Mannheim--Neuostheim
    16     16   
    17     17   \item[München]
    18         -  {\bf Bernd Paysan}\\ Tel.: (0\,89)\,--\,41\,15\,46\,53 (p)\\
           18  +  {\bf Bernd Paysan}\\ Tel.: (0\,89)\,--\,41\,15\,46\,53\\
    19     19       {\tt\email{bernd.paysan@gmx.de}}\\ Treffen: Jeden 4. Donnerstag im
    20     20       Monat um 19:00 in der Pizzeria La Capannina, Weitlstr. 142, 80995
    21     21       München (Feldmochinger Anger).
    22     22   
    23     23   \item[Hamburg] {\bf Ulrich Hoffman}\\
    24     24     Tel.: (04103)\,--\,80\,48\,41\\
    25     25     {\tt\email{uho@forth-ev.de}}\\ Treffen: Alle 14 Tage in der FH

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  1030         -70!<D(Ae(5/MckLs*t~>
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Added drache30l.pdf.

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