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}
    21     20   \usepackage{geometry}
    22     21   \geometry{verbose,a4paper,tmargin=22mm,bmargin=20mm,
    23     22   lmargin=11mm,rmargin=22mm,headheight=12mm,headsep=07mm,footskip=1cm}
    24     23   
    25     24   \pdfoptionpdfminorversion=3
    26     25   %%
    27     26   %% Packete/Style-Optionen und anderes Material in der Pr"aambel:
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    43     42   \newcommand{\email}[1]{\randomize{#1}}
    44     43   \usepackage{breakurl}
    45     44   \usepackage{listings}
    46     45   \usepackage{xspace}
    47     46   \usepackage{longtable}
    48     47   \usepackage{textcomp}
    49     48   \usepackage{amstext}
    50         -\usepackage{background} % <-- Draft, solange das Heft nicht fertig ist!
    51     49   \usepackage{tikz}
    52     50   \usetikzlibrary{shadows}
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    57     55   \newenvironment{myframebox}{\begin{tikzpicture}
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   105    103   \hbox to \textwidth{\hss
   106    104   \begin{minipage}[t]{11cm}
   107    105   \raggedright\large\sf\bfseries\itshape
   108    106     für Wissenschaft und Technik, für kommerzielle EDV, \\
   109    107     für MSR-Technik, für den interessierten Hobbyisten
   110    108   \end{minipage}\quad}
   111    109   \vfill
   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%
          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}}}}%
   115    112   \hfil\begin{myframebox}
   116         -\hbox{\vrule height8mm depth\titletocheight width0pt}%
   117         -\rlap{\hbox to \titletocwidth{\smash{\raise6mm\hbox{%
          113  +\hbox{\vrule height8mm depth200mm width0pt}%
          114  +\rlap{\hbox to 8cm{\smash{\raise6mm\hbox{%
   118    115           \begin{myshadowbox}\Large\bf In dieser Ausgabe:\end{myshadowbox}}}%
   119    116       \hss\smash{\raise2mm\hbox{\includegraphics{drache\DTKedition l}}}}}%
   120         -\begin{minipage}[t]{\titletocwidth}
          117  +\begin{minipage}[t]{8cm}
   121    118   \baselineskip 1cm
   122    119   \vspace*{5mm}
   123         -\begin{multicols}{2}
   124    120   \titlecontents
   125         -\end{multicols}
   126    121   \end{minipage}
   127    122   \end{myframebox}\quad}
   128    123   \end{titlepage}
   129    124   
   130    125   \advance\topmargin -4mm
   131    126   \advance\headheight 4mm
   132    127   \advance\oddsidemargin -5.5mm
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   169    164   \newpage\advance\hsize 5.5cm\advance\evensidemargin -5.5cm
   170    165   %% ----- End Editoral page -------
   171    166   
   172    167   \input{2014-03/Leserbriefe}
   173    168   \input{2014-03/ting-stm32-eforth}
   174    169   \input{2014-03/recognizer2-de}
   175    170   \input{2014-03/goertzel}
   176         -\input{2014-03/taster}
   177         -\input{2014-03/forth-2012}
   178         -\input{2014-03/LPC-Bastelartikel}
   179    171   
   180    172   \input{ansprechpartner}
   181    173   \advance\evensidemargin -5.5mm
   182    174   \thispagestyle{backcover}
   183    175   %\newpage  \vspace*{\fill}\centerline{This page intentionally left blank}\vfill
   184    176   \input{2014-03/backcover}
   185    177   \end{journal}%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   186    178   %
   187    179   % Local Variables: 
   188    180   % mode: latex
   189    181   % TeX-master: nil
   190    182   % End: 

Deleted 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
    13     12   
    14     13   %\input{2011-01/}\bigskip
    15     14   
    16     15   %\vfill
    17     16   %\hfill Fortsetzung Leserbriefe auf Seite \pageref{Leserbriefe2}
    18     17   %\label{Leserbriefe1Ende}
    19     18   %\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         -

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

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     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

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

cannot compute difference between binary files

Deleted 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" @ - 
    55         -SWAP - AKKU !  \ sub top 2 bytes, sub carry
           53  +SWAP DROP 0100 AND 8SHIFT>      \ extract carry-bit
           54  +AKKU @ AKKU" @ - SWAP - AKKU !  \ sub top 2 bytes, sub carry
    56     55   ; 
    57     56   
    58         -: SAT-AKKU   \ (  ---  ) saturate upper half
           57  +: SAT-AKKU                    \ (  ---  ) saturate upper half
    59     58   AKKU C@ 80 AND 
    60     59   IF
    61     60     AKKU @ NOT FF80 AND   \ if not B% 1111 1111 1xxx
    62     61     IF 8000 AKKU 1+ !     \ saturate to xx 8000 xxxx
    63     62        ERR-CNTR+   
    64     63     THEN
    65     64   ELSE 
................................................................................
    66     65     AKKU @ FF80 AND     \ if not B% 0000 0000 0xxx
    67     66     IF 7FFF AKKU 1+ !   \ saturate to xx 7FFF xxxx
    68     67        ERR-CNTR+ 
    69     68     THEN
    70     69   THEN
    71     70   ;
    72     71   
    73         -: AKKU@      \ (  --- N1 ) upper half
           72  +: AKKU@               \ (  --- N1 ) upper half
    74     73   AKKU 1+ @ ;
    75     74   
    76         -: AKKU!      \ (  D1 --- ) clear extension-byte
    77         -DUP 8000 AND IF FF ELSE 00 THEN 
    78         -AKKU C!      \ extend to 40 Bit
           75  +: AKKU!               \ (  D1 --- ) clear extension-byte
           76  +DUP 8000 AND IF FF ELSE 00 THEN AKKU C! \ extend to 40 Bit                
    79     77   AKKU 1+ D! ;
    80     78   
    81     79   \ --------------------------------------
    82     80   
    83     81   2 ZVARIABLE SIGN
    84     82   
    85     83   :  ABS     \ ( N1 --- UN1 ) patch 
    86     84   DUP 8000 = IF DROP 8001 THEN
    87     85   ABS ;
    88     86   
    89     87   : (MAC)    \ ( N1 UN1 --- UD1 ) setup SIGN for AKKU+
    90         -OVER 8000 AND SIGN !  \ flag = 1 if result negative
           88  +OVER 8000 AND SIGN !   \  flag = 1 if result negative
    91     89   SWAP ABS U* ;
    92     90   
    93     91   : AKKU+    \ ( UD1 ---  )
    94     92   SIGN @ IF AKKU- ELSE AKKU+ THEN ;
    95     93   
    96     94   : MAC      \ ( N1 A1" ---  )
    97     95   (MAC) AKKU+ ;
................................................................................
   132    130   SAT-AKKU
   133    131   AKKU@ ;
   134    132   
   135    133   : INIT-ALP    \ (  ---  ) clear allpole filter
   136    134   0 zRAM ! 0 zRAM 2+ ! ;
   137    135   
   138    136   |>
          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         -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}
           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.
    53     19   
    54     20   \vspace*{\fill}

Deleted 2014-03/forth-2012.lyx.

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     2         -\lyxformat 413
     3         -\begin_document
     4         -\begin_header
     5         -\textclass article
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     8         -\language ngerman
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    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
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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

Deleted 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
    88         - PCM-Kanäle 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 PCM-Kanäl
           88  +e 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         - erreicht.
    93         - Aber wenn man nur eine Frequenz erkennen will, ist das zumindest nicht
    94         - viel aufwändiger als ein Allpol-Filter 
           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 
    95     94   \begin_inset CommandInset citation
    96     95   LatexCommand cite
    97         -key "key-11"
           96  +key "key-12"
    98     97   
    99     98   \end_inset
   100     99   
   101    100   .
   102    101   \end_layout
   103    102   
   104    103   \begin_layout Standard
................................................................................
   118    117   \end_layout
   119    118   
   120    119   \begin_layout Section*
   121    120   Detektor
   122    121   \end_layout
   123    122   
   124    123   \begin_layout Standard
   125         -Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT,
          124  +Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT
   126    125    wie für DTMF-Empfänger in 
   127    126   \begin_inset CommandInset citation
   128    127   LatexCommand cite
   129    128   key "key-10"
   130    129   
   131    130   \end_inset
   132    131   
   133    132    dargestellt 
   134         -\series bold
   135         -(Abb.
   136    133   \begin_inset CommandInset ref
   137    134   LatexCommand ref
   138    135   reference "Abb.1"
   139    136   
   140    137   \end_inset
   141    138   
   142         -)
   143         -\series default
   144    139   .
   145    140    Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts dargestellt
   146    141   e vereinfachte Variante ohne Berechnung der Wurzel in vielen Anwendungen
   147    142    ausreichend.
   148         - Wegen der Integrate-&-Dump-Stufe arbeitet diese Implementierung nicht kontinuie
          143  + Wegen der Integrate & Dump Stufe arbeitet diese Implementierung nicht kontinuie
   149    144   rlich, sondern liefert nur am Ende eines Datenblocks einen Ausgangswert.
   150    145    Diese Eigenschaft hat auch der Goertzel-Algorithmus 
   151         -\series bold
   152         -(Abb.
   153    146   \begin_inset CommandInset ref
   154    147   LatexCommand ref
   155    148   reference "Abb.2"
   156    149   
   157    150   \end_inset
   158    151   
   159         -)
   160         -\series default
   161    152   , selbst wenn seine Ähnlichkeit mit einem IIR-Filter 
   162    153   \begin_inset CommandInset citation
   163    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 
          319  +\begin_inset CommandInset citation
          320  +LatexCommand cite
   164    321   key "key-12"
   165    322   
   166    323   \end_inset
   167    324   
   168         - ersteinmal anderes vermuten lässt.
          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  + 
   169    375   \end_layout
   170    376   
   171    377   \begin_layout Standard
   172    378   \begin_inset Float figure
   173    379   wide false
   174    380   sideways false
   175    381   status open
   176    382   
   177    383   \begin_layout Plain Layout
   178         -\align center
   179    384   \begin_inset Graphics
   180    385   	filename deliano-goertzel/Bild1.eps
   181         -	scale 75
   182    386   
   183    387   \end_inset
   184    388   
   185    389   
   186    390   \begin_inset Caption
   187    391   
   188    392   \begin_layout Plain Layout
................................................................................
   196    400   \end_layout
   197    401   
   198    402   \end_inset
   199    403   
   200    404   
   201    405   \end_layout
   202    406   
          407  +\begin_layout Plain Layout
          408  +
          409  +\end_layout
          410  +
   203    411   \end_inset
   204    412   
   205    413   
   206    414   \end_layout
   207    415   
   208    416   \begin_layout Standard
   209    417   \begin_inset Float figure
   210    418   wide false
   211    419   sideways false
   212    420   status open
   213    421   
   214    422   \begin_layout Plain Layout
   215         -\align center
   216    423   \begin_inset Graphics
   217    424   	filename deliano-goertzel/Bild2.eps
   218    425   
   219    426   \end_inset
   220    427   
   221    428   
   222    429   \begin_inset Caption
................................................................................
   232    439   \end_layout
   233    440   
   234    441   \end_inset
   235    442   
   236    443   
   237    444   \end_layout
   238    445   
          446  +\begin_layout Plain Layout
          447  +
          448  +\end_layout
          449  +
   239    450   \end_inset
   240    451   
   241    452   
   242         -\end_layout
   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         -
   257         -\end_inset
   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"
   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         - 
   278    453   \end_layout
   279    454   
   280    455   \begin_layout Standard
   281    456   \begin_inset Float figure
   282    457   wide false
   283    458   sideways false
   284    459   status open
   285    460   
   286    461   \begin_layout Plain Layout
   287         -\align center
   288    462   \begin_inset Graphics
   289    463   	filename deliano-goertzel/Bild3.eps
   290         -	scale 75
   291    464   
   292    465   \end_inset
   293    466   
   294    467   
   295    468   \begin_inset Caption
   296    469   
   297    470   \begin_layout Plain Layout
................................................................................
   305    478   \end_layout
   306    479   
   307    480   \end_inset
   308    481   
   309    482   
   310    483   \end_layout
   311    484   
          485  +\begin_layout Plain Layout
          486  +
          487  +\end_layout
          488  +
   312    489   \end_inset
   313    490   
   314    491   
   315    492   \end_layout
   316    493   
   317    494   \begin_layout Standard
   318    495   \begin_inset Float figure
   319    496   wide false
   320    497   sideways false
   321    498   status open
   322    499   
   323    500   \begin_layout Plain Layout
   324         -\align center
   325    501   \begin_inset Graphics
   326    502   	filename deliano-goertzel/Bild4.eps
   327    503   
   328    504   \end_inset
   329    505   
   330    506   
   331    507   \end_layout
................................................................................
   344    520   \end_layout
   345    521   
   346    522   \end_inset
   347    523   
   348    524   
   349    525   \end_layout
   350    526   
   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    527   \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         -
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   753         -N=105 fs=8kHz
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   956         -Squared Magnitude 
   957         -\end_layout
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   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.
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   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         - 
   976         -\end_layout
   977         -
   978    536   \begin_layout Standard
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................................................................................
  1007    564   \end_layout
  1008    565   
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  1010    567   
  1011    568   
  1012    569   \end_layout
  1013    570   
  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.
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  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
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................................................................................
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  1070         -
  1071         -
  1072         -\end_layout
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  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
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  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.
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  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
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  1110         -key "key-3"
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  1112         -\end_inset
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  1114         - 
  1115         -\series bold
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  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         - 
          601  +\begin_layout Plain Layout
          602  +
          603  +\end_layout
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          605  +\end_inset
          606  +
          607  +
  1129    608   \end_layout
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  1144    622   
  1145    623   \begin_inset Caption
................................................................................
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  1161    639   
  1162    640   \end_inset
  1163    641   
  1164    642   
  1165    643   \end_layout
  1166    644   
  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
  1266         -
  1267    645   \begin_layout Standard
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................................................................................
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  1292    669   
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  1314    695   
................................................................................
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  1327    708   
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  1330    711   
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  1344    729   \begin_layout Plain Layout
  1345         -\align center
  1346         -\begin_inset Graphics
  1347         -	filename deliano-goertzel/Bild10.png
  1348         -	scale 75
  1349         -
  1350         -\end_inset
  1351         -
  1352         -
          730  +(muss noch komponiert werden aus der 11wer Gruppe)
  1353    731   \begin_inset Caption
  1354    732   
  1355    733   \begin_layout Plain Layout
  1356    734   \begin_inset CommandInset label
  1357    735   LatexCommand label
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  1359    737   
................................................................................
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  1366    744   
  1367    745   
  1368    746   \end_layout
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          748  +\begin_layout Plain Layout
          749  +
          750  +\end_layout
          751  +
  1370    752   \end_inset
  1371    753   
  1372    754   
  1373         -\end_layout
  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         -
  1392         -\end_inset
  1393         -
  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         - 
  1400    755   \end_layout
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................................................................................
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          790  +
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  1434    792   
  1435    793   
  1436         -\end_layout
  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         -
  1455         -\end_inset
  1456         -
  1457         -)
  1458         -\series default
  1459         -, sodass man Carry detektieren kann.
  1460         - Gefolgt von zwei Additionen für die oberen 16 Bit und das Carrybit.
  1461         - 
  1462    794   \end_layout
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................................................................................
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  1493    823   
  1494    824   \end_layout
  1495    825   
          826  +\begin_layout Plain Layout
          827  +
          828  +\end_layout
          829  +
  1496    830   \end_inset
  1497    831   
  1498    832   
  1499    833   \end_layout
  1500    834   
  1501    835   \begin_layout Bibliography
  1502         -\align block
          836  +\labelwidthstring Literaturverzeichnis
          837  +\align left
  1503    838   \begin_inset CommandInset bibitem
  1504    839   LatexCommand bibitem
  1505    840   key "key-1"
  1506    841   
  1507    842   \end_inset
  1508    843   
  1509         -Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“
          844  + Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“
  1510    845    Amer.
  1511    846    Math.
  1512    847    Monthly Jan.
  1513    848    1958 
  1514    849   \end_layout
  1515    850   
  1516    851   \begin_layout Bibliography
  1517         -\align block
          852  +\labelwidthstring Literaturverzeichnis
          853  +\align left
  1518    854   \begin_inset CommandInset bibitem
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  1520    856   label "2"
  1521    857   key "key-2"
  1522    858   
  1523    859   \end_inset
  1524    860   
  1525    861   Gerdsen, Kröger „Digitale Signalverarbeitung in der Nachrichtentechnik“
  1526    862    Springer 1993
  1527    863   \end_layout
  1528    864   
  1529    865   \begin_layout Bibliography
  1530         -\align block
          866  +\labelwidthstring Literaturverzeichnis
          867  +\align left
  1531    868   \begin_inset CommandInset bibitem
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  1533    870   label "3"
  1534    871   key "key-3"
  1535    872   
  1536    873   \end_inset
  1537    874   
  1538    875   Mock „Add DTMF generation and decoding to DSP-uP designs“ EDN March 1985
  1539    876    
  1540    877   \end_layout
  1541    878   
  1542    879   \begin_layout Bibliography
  1543         -\align block
          880  +\labelwidthstring Literaturverzeichnis
          881  +\align left
  1544    882   \begin_inset CommandInset bibitem
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  1546    884   label "4"
  1547    885   key "key-4"
  1548    886   
  1549    887   \end_inset
  1550    888   
  1551    889   Chen "Modified Goertzel Algorithm in DTMF Detection Using the TMS320C80"
  1552    890    Application Note SPRA066 1996 
  1553    891   \end_layout
  1554    892   
  1555    893   \begin_layout Bibliography
  1556         -\align block
          894  +\labelwidthstring Literaturverzeichnis
          895  +\align left
  1557    896   \begin_inset CommandInset bibitem
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  1559    898   label "5"
  1560    899   key "key-5"
  1561    900   
  1562    901   \end_inset
  1563    902   
  1564    903   Gay, Hartung, Smith „Algorithms for Multi-Channel DTMF Detection for the
  1565    904    WE DSP32 Family“ ICASSP 89 
  1566    905   \end_layout
  1567    906   
  1568    907   \begin_layout Bibliography
  1569         -\align block
          908  +\labelwidthstring Literaturverzeichnis
          909  +\align left
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  1573    913   key "key-10"
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  1575    915   \end_inset
  1576    916   
  1577    917   emb (12) DTMF-Decoder 
  1578    918   \end_layout
  1579    919   
  1580    920   \begin_layout Bibliography
  1581         -\align block
          921  +\labelwidthstring Literaturverzeichnis
          922  +\align left
  1582    923   \begin_inset CommandInset bibitem
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  1585    926   key "key-11"
  1586    927   
  1587    928   \end_inset
  1588    929   
  1589    930   emb (13) 2pol Allpol Filter 
  1590    931   \end_layout
  1591    932   
  1592    933   \begin_layout Bibliography
  1593         -\align block
          934  +\labelwidthstring Literaturverzeichnis
          935  +\align left
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  1597    939   key "key-12"
  1598    940   
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  1601    943   emb (14) Biquads 
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  1603    945   
  1604    946   \begin_layout Bibliography
  1605         -\align block
          947  +\labelwidthstring Literaturverzeichnis
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  1612    954   
................................................................................
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  1626    968   
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  1644         -
  1645         -
  1646         -\end_layout
  1647         -
  1648    974   \begin_layout Section*
  1649         -Listing
          975  +Listings
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  1653    979   
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  1688    997   \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
    88         - PCM-Kanäle 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 PCM-Kanäl
           88  +e 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         - erreicht.
    93         - Aber wenn man nur eine Frequenz erkennen will, ist das zumindest nicht
    94         - viel aufwändiger als ein Allpol-Filter 
           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 
    95     94   \begin_inset CommandInset citation
    96     95   LatexCommand cite
    97         -key "key-11"
           96  +key "key-12"
    98     97   
    99     98   \end_inset
   100     99   
   101    100   .
   102    101   \end_layout
   103    102   
   104    103   \begin_layout Standard
................................................................................
   118    117   \end_layout
   119    118   
   120    119   \begin_layout Section*
   121    120   Detektor
   122    121   \end_layout
   123    122   
   124    123   \begin_layout Standard
   125         -Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT,
          124  +Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT
   126    125    wie für DTMF-Empfänger in 
   127    126   \begin_inset CommandInset citation
   128    127   LatexCommand cite
   129    128   key "key-10"
   130    129   
   131    130   \end_inset
   132    131   
   133    132    dargestellt 
   134         -\series bold
   135         -(Abb.
   136    133   \begin_inset CommandInset ref
   137    134   LatexCommand ref
   138    135   reference "Abb.1"
   139    136   
   140    137   \end_inset
   141    138   
   142         -)
   143         -\series default
   144    139   .
   145    140    Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts dargestellt
   146    141   e vereinfachte Variante ohne Berechnung der Wurzel in vielen Anwendungen
   147    142    ausreichend.
   148         - Wegen der Integrate-&-Dump-Stufe arbeitet diese Implementierung nicht kontinuie
          143  + Wegen der Integrate & Dump Stufe arbeitet diese Implementierung nicht kontinuie
   149    144   rlich, sondern liefert nur am Ende eines Datenblocks einen Ausgangswert.
   150    145    Diese Eigenschaft hat auch der Goertzel-Algorithmus 
   151         -\series bold
   152         -(Abb.
   153    146   \begin_inset CommandInset ref
   154    147   LatexCommand ref
   155    148   reference "Abb.2"
   156    149   
   157    150   \end_inset
   158    151   
   159         -)
   160         -\series default
   161    152   , selbst wenn seine Ähnlichkeit mit einem IIR-Filter 
   162    153   \begin_inset CommandInset citation
   163    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 
          319  +\begin_inset CommandInset citation
          320  +LatexCommand cite
   164    321   key "key-12"
   165    322   
   166    323   \end_inset
   167    324   
   168         - ersteinmal anderes vermuten lässt.
          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  + 
   169    375   \end_layout
   170    376   
   171    377   \begin_layout Standard
   172    378   \begin_inset Float figure
   173    379   wide false
   174    380   sideways false
   175    381   status collapsed
   176    382   
   177    383   \begin_layout Plain Layout
   178         -\align center
   179    384   \begin_inset Graphics
   180         -	filename deliano-goertzel/Bild1.eps
   181         -	scale 75
          385  +	filename Bild1.eps
   182    386   
   183    387   \end_inset
   184    388   
   185    389   
   186    390   \begin_inset Caption
   187    391   
   188    392   \begin_layout Plain Layout
................................................................................
   196    400   \end_layout
   197    401   
   198    402   \end_inset
   199    403   
   200    404   
   201    405   \end_layout
   202    406   
          407  +\begin_layout Plain Layout
          408  +
          409  +\end_layout
          410  +
   203    411   \end_inset
   204    412   
   205    413   
   206    414   \end_layout
   207    415   
   208    416   \begin_layout Standard
   209    417   \begin_inset Float figure
   210    418   wide false
   211    419   sideways false
   212    420   status collapsed
   213    421   
   214    422   \begin_layout Plain Layout
   215         -\align center
   216    423   \begin_inset Graphics
   217         -	filename deliano-goertzel/Bild2.eps
          424  +	filename Bild2.eps
   218    425   
   219    426   \end_inset
   220    427   
   221    428   
   222    429   \begin_inset Caption
   223    430   
   224    431   \begin_layout Plain Layout
................................................................................
   232    439   \end_layout
   233    440   
   234    441   \end_inset
   235    442   
   236    443   
   237    444   \end_layout
   238    445   
          446  +\begin_layout Plain Layout
          447  +
          448  +\end_layout
          449  +
   239    450   \end_inset
   240    451   
   241    452   
   242         -\end_layout
   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         -
   257         -\end_inset
   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"
   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         - 
   278    453   \end_layout
   279    454   
   280    455   \begin_layout Standard
   281    456   \begin_inset Float figure
   282    457   wide false
   283    458   sideways false
   284    459   status collapsed
   285    460   
   286    461   \begin_layout Plain Layout
   287         -\align center
   288    462   \begin_inset Graphics
   289         -	filename deliano-goertzel/Bild3.eps
   290         -	scale 75
          463  +	filename Bild3.eps
   291    464   
   292    465   \end_inset
   293    466   
   294    467   
   295    468   \begin_inset Caption
   296    469   
   297    470   \begin_layout Plain Layout
................................................................................
   305    478   \end_layout
   306    479   
   307    480   \end_inset
   308    481   
   309    482   
   310    483   \end_layout
   311    484   
          485  +\begin_layout Plain Layout
          486  +
          487  +\end_layout
          488  +
   312    489   \end_inset
   313    490   
   314    491   
   315    492   \end_layout
   316    493   
   317    494   \begin_layout Standard
   318    495   \begin_inset Float figure
   319    496   wide false
   320    497   sideways false
   321    498   status collapsed
   322    499   
   323    500   \begin_layout Plain Layout
   324         -\align center
   325         -\begin_inset Graphics
   326         -	filename deliano-goertzel/Bild4.eps
   327         -
   328         -\end_inset
   329         -
   330    501   
   331    502   \end_layout
   332    503   
   333    504   \begin_layout Plain Layout
   334    505   \begin_inset Caption
   335    506   
   336    507   \begin_layout Plain Layout
................................................................................
   344    515   \end_layout
   345    516   
   346    517   \end_inset
   347    518   
   348    519   
   349    520   \end_layout
   350    521   
   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    522   \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>
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   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>
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   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
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   509         -\begin_layout Plain Layout
   510         -27906
   511         -\end_layout
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   513         -\end_inset
   514         -</cell>
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   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
   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
   568         -25597
   569         -\end_layout
   570         -
   571         -\end_inset
   572         -</cell>
   573         -</row>
   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>
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   594         -\begin_inset Text
   595         -
   596         -\begin_layout Plain Layout
   597         -24295
   598         -\end_layout
   599         -
   600         -\end_inset
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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
   619         -
   620         -\end_inset
   621         -</cell>
   622         -<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
   623         -\begin_inset Text
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   625         -\begin_layout Plain Layout
   626         -19057
   627         -\end_layout
   628         -
   629         -\end_inset
   630         -</cell>
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   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>
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   652         -\begin_inset Text
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   656         -\end_layout
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   658         -\end_inset
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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">
   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>
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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         -
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   704         -42
   705         -\end_layout
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   719         -</lyxtabular>
   720         -
   721         -\end_inset
   722         -
   723    523   
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   728    528   
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   730    530   
   731         -\begin_layout Standard
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   740         -
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   748         -Parameter DTMF-Decoder [5] 
   749         -\end_layout
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   753         -N=105 fs=8kHz
   754         -\end_layout
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   769         -\end_layout
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   777         -k=
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   783         -<row>
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   788         -697Hz
   789         -\end_layout
   790         -
   791         -\end_inset
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   795         -
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   797         -9
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   803         -<row>
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   808         -770Hz
   809         -\end_layout
   810         -
   811         -\end_inset
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   815         -
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   817         -10
   818         -\end_layout
   819         -
   820         -\end_inset
   821         -</cell>
   822         -</row>
   823         -<row>
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   825         -\begin_inset Text
   826         -
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   828         -852Hz
   829         -\end_layout
   830         -
   831         -\end_inset
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   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
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   843         -<row>
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   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">
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   855         -
   856         -\begin_layout Plain Layout
   857         -12
   858         -\end_layout
   859         -
   860         -\end_inset
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   863         -<row>
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   865         -\begin_inset Text
   866         -
   867         -\begin_layout Plain Layout
   868         -1209Hz
   869         -\end_layout
   870         -
   871         -\end_inset
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   879         -
   880         -\end_inset
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   883         -<row>
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   886         -
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   888         -1336Hz
   889         -\end_layout
   890         -
   891         -\end_inset
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   895         -
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   897         -18
   898         -\end_layout
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   900         -\end_inset
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   903         -<row>
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   905         -\begin_inset Text
   906         -
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   908         -1477Hz
   909         -\end_layout
   910         -
   911         -\end_inset
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   917         -19
   918         -\end_layout
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   920         -\end_inset
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   923         -<row>
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   925         -\begin_inset Text
   926         -
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   928         -1633Hz
   929         -\end_layout
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   949         -
   950         -\end_inset
   951         -
   952         -
   953         -\end_layout
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   970         -)
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   972         -.
   973         - Nach Ausgabe des Ergebnisses müssen die beiden Speicher des Filters auf
   974         - null gesetzt werden und der nächste Datenblock kann beginnen.
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   976         -\end_layout
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          539  +	filename Bild5.eps
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   992    544   \begin_inset Caption
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................................................................................
  1007    559   \end_layout
  1008    560   
  1009    561   \end_inset
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  1011    563   
  1012    564   \end_layout
  1013    565   
  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
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          575  +
          576  +\begin_layout Plain Layout
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................................................................................
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  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.
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  1100         -\series default
  1101         -.
  1102         - 
  1103         -\end_layout
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  1105         -\begin_layout Standard
  1106         -Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel
  1107         - verwendet 
  1108         -\begin_inset CommandInset citation
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  1113         -
  1114         - 
  1115         -\series bold
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  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         - 
          600  +\begin_layout Plain Layout
          601  +
          602  +\end_layout
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          604  +\end_inset
          605  +
          606  +
  1129    607   \end_layout
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  1138         -\align center
  1139    616   \begin_inset Graphics
  1140         -	filename deliano-goertzel/Bild7.eps
          617  +	filename Bild7.eps
  1141    618   
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  1144    621   
  1145    622   \begin_inset Caption
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................................................................................
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  1163    640   
  1164    641   
  1165    642   \end_layout
  1166    643   
  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.
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  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.
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  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
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  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
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          651  +
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................................................................................
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................................................................................
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          737  +(muss noch komponiert werden aus der 11wer Gruppe)
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................................................................................
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  1367    752   
  1368    753   \end_layout
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          755  +\begin_layout Plain Layout
          756  +
          757  +\end_layout
          758  +
  1370    759   \end_inset
  1371    760   
  1372    761   
  1373         -\end_layout
  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         -
  1392         -\end_inset
  1393         -
  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         - 
  1400    762   \end_layout
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  1409         -\align center
          771  +
          772  +\end_layout
          773  +
          774  +\begin_layout Plain Layout
  1410    775   \begin_inset Graphics
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          776  +	filename Bild11.eps
  1412    777   
  1413    778   \end_inset
  1414    779   
  1415    780   
  1416    781   \begin_inset Caption
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................................................................................
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  1428    793   \end_inset
  1429    794   
  1430    795   
  1431    796   \end_layout
  1432    797   
          798  +\begin_layout Plain Layout
          799  +
          800  +\end_layout
          801  +
  1433    802   \end_inset
  1434    803   
  1435    804   
  1436         -\end_layout
  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
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  1513         -Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“
          859  + Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“
  1514    860    Amer.
  1515    861    Math.
  1516    862    Monthly Jan.
  1517    863    1958 
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  1529    876   Gerdsen, Kröger „Digitale Signalverarbeitung in der Nachrichtentechnik“
  1530    877    Springer 1993
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  1543    891    
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  1555    904   Chen "Modified Goertzel Algorithm in DTMF Detection Using the TMS320C80"
  1556    905    Application Note SPRA066 1996 
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  1568    918   Gay, Hartung, Smith „Algorithms for Multi-Channel DTMF Detection for the
  1569    919    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/.
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     3      3   \documentclass[ngerman]{article}
     4      4   \usepackage[T1]{fontenc}
     5      5   \usepackage[utf8x]{inputenc}
     6      6   \usepackage{graphicx}
     7         -
     8         -\makeatletter
     9         -
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    16      7   \usepackage{babel}
    17      8   \begin{document}
    18      9   
    19     10   \title{Goertzel-Algorithmus}
    20     11   
    21     12   
    22     13   \author{Rafael Deliano}
    23     14   \maketitle
    24     15   \begin{abstract}
    25         -\emph{Eine Variante der diskreten Fourier-Transformation (DFT) \cite{key-1},
           16  +\emph{Eine Variante der diskreten Fourier Transformation ( DFT ) \cite{key-1}
    26     17   die besonders für DTMF-Empfänger verwendet wurde.}
    27     18   
    28         -\emph{Der Einsatz war ursprünglich auf DSPs beschränkt, die dann aber
           19  +\emph{Der Einsatz war ursprünglich auf DSPs beschränkt die dann aber
    29     20   24 - 32 PCM-Kanäle gleichzeitig verarbeiten konnten. Für nur einen
    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}.}
           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}.}
    34     25   \end{abstract}
    35     26   \begin{multicols}{2}
    36     27   
    37     28   
    38     29   \section*{Detektor}
    39     30   
    40     31   Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle
    41         -DFT, wie für DTMF-Empfänger in \cite{key-10} dargestellt \textbf{(Abb.\ref{Abb.1})}.
           32  +DFT wie für DTMF-Empfänger in \cite{key-10} dargestellt \ref{Abb.1}.
    42     33   Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts
    43     34   dargestellte vereinfachte Variante ohne Berechnung der Wurzel in vielen
    44         -Anwendungen ausreichend. Wegen der Integrate-\&-Dump-Stufe arbeitet
           35  +Anwendungen ausreichend. Wegen der Integrate \& Dump Stufe arbeitet
    45     36   diese Implementierung nicht kontinuierlich, sondern liefert nur am
    46     37   Ende eines Datenblocks einen Ausgangswert. Diese Eigenschaft hat auch
    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         -
           38  +der Goertzel-Algorithmus \ref{Abb.2}, selbst wenn seine Ähnlichkeit
           39  +mit einem IIR-Filter \cite{key-14} ersteinmal anderes vermuten läßt.
    60     40   
    61     41   
    62     42   \section*{Goertzel}
    63     43   
    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         -
           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. 
    84     50   
    85     51   
    86     52   \section*{Allpol}
    87     53   
    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
           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
    93     59   besser. Für k sind aber ganzzahlige Werte nötig. Mit geringer Frequenzabweichung
    94     60   für alle 8 Frequenzen. Das schränkt die Möglichkeiten ein. Der übliche
    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}. 
           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}. 
    98     64   
    99         -Die Koeffizienten sind so gewählt, dass dieses Filter auf der Stabilitätsgrenze
           65  +Die Koeffizienten sind so gewählt, daß dieses Filter auf der Stabilitätsgrenze
   100     66   liegt und damit extrem schmalbandig ist. Da der Faktor „a1“ als Festkommazahl
   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         -
           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. 
   171     72   
   172     73   
   173     74   \section*{Squared Magnitude }
   174     75   
   175     76   Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung
   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         -
           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. 
   185     81   
   186     82   
   187     83   \section*{Nachverarbeitung}
   188     84   
   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
           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
   192     88   z.B. sind kaum Oberwellen vorhanden. 
   193     89   
   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)}. 
           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 ). 
   204     95   
   205     96   Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel
   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         -
           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. 
   214    100   
   215    101   
   216    102   \section*{Und nun zur Implementierung}
   217    103   
   218    104   Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24
   219    105   verwendet. fs/ft ist dann ca. 8,5 und die Konstante a1 hat den Wert
   220    106   1,4712. 
   221    107   
   222         -Wenn man diesen Allpol mit Puls anregt, wird er dauerhaft auf der
   223         -Sinusfrequenz, d.h mit ca. 8,5 Samples Periode, weiterschwingen. 
          108  +Wenn man diesen Allpol mit Puls anregt wird er dauerhaft auf der Sinusfrequenz,
          109  +d.h mit ca. 8,5 Samples Periode, weiterschwingen. 
   224    110   
   225    111   
   226    112   \section*{Sinusgenerator}
   227    113   
   228    114   Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem
   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. 
          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. 
          154  +
          155  +\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  +
   249    201   
   250    202   \begin{figure}
   251         -\centering{}\includegraphics{2014-03/deliano-goertzel/Bild8}\caption{\label{Abb.8}Skalierung Allpol}
          203  +\includegraphics{2014-03/deliano-goertzel/Bild8}\caption{\label{Abb.8}Skalierung Allpol}
          204  +
          205  +
   252    206   \end{figure}
   253    207   
   254    208   
   255    209   \begin{figure}
   256    210   \includegraphics{2014-03/deliano-goertzel/Bild9}\caption{\label{Abb.9}Skalierung squared magnitude}
          211  +
          212  +
          213  +\end{figure}
          214  +
          215  +
          216  +\begin{figure}
          217  +(muss noch komponiert werden aus der 11wer Gruppe)\caption{\label{Abb.10}Frequenzgang \& Overflows}
          218  +
          219  +
          220  +\end{figure}
          221  +
          222  +
          223  +\begin{figure}
          224  +\includegraphics{2014-03/deliano-goertzel/Bild11}\caption{\label{Abb.11}Timing}
          225  +
          226  +
   257    227   \end{figure}
   258    228   
   259    229   
   260    230   \begin{figure}
   261         -\centering{}\includegraphics[scale=0.75]{2014-03/deliano-goertzel/Bild10}\caption{\label{Abb.10}Frequenzgang \& Overflows}
   262         -\end{figure}
          231  +\includegraphics{2014-03/deliano-goertzel/Bild12}\caption{\label{Abb.12}Akku mit Guard-Bits in HLL}
   263    232   
   264    233   
   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         -
   276         -\begin{figure}
   277         -\centering{}\includegraphics{2014-03/deliano-goertzel/Bild11}\caption{\label{Abb.11}Timing}
   278    234   \end{figure}
   279    235   
   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. 
          236  +\begin{thebibliography}{Literaturverzeichnis}
          237  +\begin{flushleft}
          238  +\bibitem{key-1} Goertzel „An Algorithm for the Evaluation of Finite
          239  +Trigonometric Series“ Amer. Math. Monthly Jan. 1958 
          240  +\par\end{flushleft}
   291    241   
   292         -\begin{figure}
   293         -\centering{}\includegraphics[scale=0.75]{2014-03/deliano-goertzel/Bild12}\caption{\label{Abb.12}Akku mit Guard-Bits in HLL}
   294         -\end{figure}
   295         -
   296         -\begin{thebibliography}{10}
   297         -\bibitem{key-1}Goertzel „An Algorithm for the Evaluation of Finite
   298         -Trigonometric Series“ Amer. Math. Monthly Jan. 1958 
   299         -
          242  +\begin{flushleft}
   300    243   \bibitem[2]{key-2}Gerdsen, Kröger „Digitale Signalverarbeitung in
   301    244   der Nachrichtentechnik“ Springer 1993
          245  +\par\end{flushleft}
   302    246   
          247  +\begin{flushleft}
   303    248   \bibitem[3]{key-3}Mock „Add DTMF generation and decoding to DSP-uP
   304    249   designs“ EDN March 1985 
          250  +\par\end{flushleft}
   305    251   
          252  +\begin{flushleft}
   306    253   \bibitem[4]{key-4}Chen \textquotedbl{}Modified Goertzel Algorithm
   307    254   in DTMF Detection Using the TMS320C80\textquotedbl{} Application Note
   308    255   SPRA066 1996 
          256  +\par\end{flushleft}
   309    257   
          258  +\begin{flushleft}
   310    259   \bibitem[5]{key-5}Gay, Hartung, Smith „Algorithms for Multi-Channel
   311    260   DTMF Detection for the WE DSP32 Family“ ICASSP 89 
          261  +\par\end{flushleft}
   312    262   
          263  +\begin{flushleft}
   313    264   \bibitem[10]{key-10}emb (12) DTMF-Decoder 
          265  +\par\end{flushleft}
   314    266   
          267  +\begin{flushleft}
   315    268   \bibitem[11]{key-11}emb (13) 2pol Allpol Filter 
          269  +\par\end{flushleft}
   316    270   
          271  +\begin{flushleft}
   317    272   \bibitem[12]{key-12}emb (14) Biquads 
          273  +\par\end{flushleft}
   318    274   
   319    275   \bibitem[14]{key-14}(ist im text erwähnt, nicht angegeben --> nachfragen)
   320    276   
   321    277   \end{thebibliography}
   322    278   \end{multicols}
   323    279   
   324         -\begin{multicols}{2}
   325    280   
          281  +\section*{Listings}
   326    282   
   327         -\section*{Listing}
   328         -
   329         -{\footnotesize{\listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt}}}{\footnotesize \par}
   330         -
   331         -\end{multicols}
          283  +{\footnotesize{\listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt}}}
   332    284   \end{document}

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Deleted 2014-03/haiku-pacman.png.

cannot compute difference between binary files

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

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     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
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     7         -%%Pages: 1
     8         -%%BoundingBox: 14 14 450 225
     9         -%%EndComments
    10         -%%BeginProlog
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    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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   658         -]`8$2s8N)trr3&sq"t$i7f)iSq"X^[nEf8gbJhQ@X*[5d6;g002E3f^4[2;$5<D"p7R9$u7RT<t
   659         -6s!Ph9fO=SEjF-7]>ht0_8OF;c-Y"phrX>'r;Qcqrr)orrVZ]o#QFc&s8W)trVHNnrVulsrrE&3
   660         -rrr?!rqcBcrr4bQqtK^Ji7ZA_Q$I1\DJsH6H\@&rAnQ..GB@hEHuqgu(EXnN-R^Jt0f(XD1c.'K
   661         -3'$t"#!+h-4?Pemr]tHh6q0a@:/Fhf<``C.@qot$A5kuZ3]JZNEjXp,s75FFqY]mKqY&+/Vo7fs
   662         -s4EH()]_%idIubUh;mb\iS`_ViniMKioT=ainMr+`4`^k]=kkg\[];f_o0@'\[SlL\%B>h`58s\
   663         -UUAeNs8;ijrW<-!reLN(~>
   664         -\GlR-rr3&rp\Ojg7eucRq"OUYn*8r`aMZ$6W-LWW5uL'/2E3c\5!VM)5s7G$84#@%7RT<t79E_h
   665         -8i7\GDm.L,\AZG(^r+16bg=nphrX>)r;Qltrr)foqZm&trVlisrr0#!48JaMp[n4Wrr)`ho^M)"
   666         -f#k:]F_PK(Ci"$6IsuBG@;Kq'Des68E'Y?W+!W0`.P*802)dEN1c.*K2u>W84*EbN5<qJ#6q0a@
   667         -:/Ong<``F0A8?+#A5blV2`<'@Cp)Xhq!-i%o()#'na=;dTY07[pX"a[&.pU:`95anc-k+iccj_`
   668         -ccaPXdam%%e',bB[BQa5Xfeh.X/iD/[^NKEXJr%lWiiY;]Y(MDT!?oBrqcTms8N#ts8W'"s8N"Q
   669         -s*t~>
   670         -])Vg08,`Jfr:BCMrr;lZeB?A(m+KY2e'#D1[CWN">rj`&5Vt&D/Lr7u/2K:J4[MY/4YnrX4>nu\
   671         -;,]n>*"F/rU;sd?Zad?O_>_@h]W@TcRBtE6s8W&pqYL*eqt^*cr;HTorVinu$i^2*q"=F\rqu]n
   672         -s8MsJqsN1SVj3!bF)>`4GC"FMCi434EGfQ.>qm$0)\a).*?,t?,UF]_.4Zo"/cIF&0R,<-1,CgI
   673         -3BB2`5!VG'7nH?J;,gS.E+2L/6U<OW/RZ*SlL"NLr:BITs8V`?YH#_2s8;&M;_&b>F2@GBkM,%c
   674         -p@IS0j6,Xhk3(sol/UF@_n3Ll^;.Fo]=G>V\@o_p]t1kgZE:LE\\5hq\ZDX1`o?gos8DomrrE&s
   675         -s8W(Vs*t~>
   676         -]`8$2s8Q!qs8W&inb<(`rp8:`fBVn`e(NO*`Orn%\X$ep4\8C93]K,Z1bppM5sdn.9MS#<5"8%0
   677         -6;Cls<CA>Y12=,Ha0NIu^Vn=?cHX>9U6hFZf_,7D$3'o%rr2lnr;HTnrW`E%s8W)trVHNnrVuls
   678         -rrE&3s#0iUrqQ0]rVl`mrr;rprVQ$:^o*HPI<07AE-Q_RE,BN6FE;A;E+1aE*?uRI,pjob.PEJ0
   679         -1B'-32E1Rps#U0A!^&V1rBP9f6q0[<9MSA\<ENI>F(A$877/p\/n)<WlgF]Nr:BITs8VQ7X/*Ys
   680         -s8:lB9I(<$D7f-'hpgHFn*K&ggY^uJhr*MUj5/>/^q$n_]=ttl]XkS\]"c,"^qRV![BI$N]=u/!
   681         -\uhj5`o?gos8DomrrE&ss8W(Vs*t~>
   682         -\GoJ*s8W&inFln^rp/1]f';_[dF['u_R[:o[?=ua3_)t53]K,Z2)@-R6UX@8:JaPE5=\416;Cls
   683         -;aDfN05%K<`36kk]u%q:c-4,5U6qO]g%YLGrr2rr"T/&mr;HWos8W,uXT(B[rVcK^p\XmbqYgBj
   684         -qu$9VfY=8HKR7`TC2J!6EGB-#Ci4-+BP_!1(*+S=+=AQb-nI).0f([D1c72i3;km-4$5\k5<qM$
   685         -6q0^>9i"S`<`r[BEahd46pWRT.U9=Bjlc@6o]bQ-q"EmlV4YK_q>As,6Q-7P@B\VKdDX5[h:^,p
   686         -a32d-br!l"e^2=JZ)O\&YHb=7Y,nY'Xg5@CZEUX>VkU/nYdM$S[A]e!_Vb+fs8Drqs8W)ts8W(P
   687         -s*t~>
   688         -]`8$2s8?=(r:BLRs8LrdR>Zo]NfAjIO/]b*\[K2eWd$lf3]K#W5=S774>JQH4[qt05t4@6:KUXl
   689         -6pa3t,TII.+]FlL\"g4:Z+7`bXHe0F>$,'CH'Gbfm.pSXr;HQjqu$ElrWW5us8W)tY5_)jrVl]i
   690         -qu6Qho_SUdqu6Wnq!mP"_5NE@CLUgkGBn:IC2@^(C1L'a%N?Du%i?,s&euE.*[<'^.4Qeu/MAb2
   691         -0JP:80Jk[H2aK>\3'',b5XIk/;H$A"D,;o@5tX$`8X&'1o'cPWrpoRSs7sj8Xj$#,s5'AQ0IAPX
   692         -Uu(:mkj@g(kN:pikiq?prT5Thf>tS-WN3D@`PB1$]XG/T]">JZZF@N^]t1YZ['mNT[^ETO_<_.$
   693         -r;HKl!<2rss8IrVJ,~>
   694         -])Vd//H,;7q>^KU]Ut@JPEhAoMjL`gaMYj7b-lps5".n-7S?W\;+<W,4@Dn<84NSQ-!+M`>#8$k
   695         -68:#:+YmN,e]+o0_nX48a1%[qDdm'`D1J(ef^Sh;rrN,trr2rtrr!!!s8N#rqYpNns8N&u!<0\3
   696         -5PtEYqt^-grV6$]s8Dios8;Z^kLdSKO*YSNASua=F`)&6DfBQ-;^iG*-5RLB+rq[H-n-Su2)R0H
   697         -1c@9Q3;ko<3<D?.5Q3f`5!M;"7S-0F<EE+0Dc/>H6VKEe8X/04oC)YXrpoRSs7XO/W5dlps4Wo@
   698         --m's<T%MuRiTB=ai83>Ji8NYQi8N\UhUKNSXer)&]u%S"^qI7d\@fMd\$irc_S<an[^N]V\[T#W
   699         -[DM80s8;ilrrE&ss8W(Vs*t~>
   700         -])Vd/<W2U_qZ$TU]:P.EOctugM3P3[`kT4*a0L1f4$uD(7S?W\;F`i05"ACF91_oU:g%79=\qpj
   701         -680i2*A:ctd_i6#_7[\/`jMCkDIHm^D1J%cf^Sh<rs/Q$r;HTns8W)ss8W,uY5^`^qu$9aq>C-`
   702         -o(`4]q>C3fp@%+o^S[!9BjY7^EHH,4AnYmoBOjma&KrG9(a:1G*[3'a.kie:1GgpG2E3\p3<V<%
   703         -4?bt.4a'"R5t"478PN5f<Fp&F0eu'e1aY\QgA(("pAF[Lk3i$3^RM"9hu!?&P>*/9,"RmAeB?:k
   704         -f$hpgb0%oOcHa\ZdF6I][],g`S#*?tZ`p^<X/W/'YH=b%Y-YI?YH4e*Y-G==Z*LRHkPtSYr;HZq
   705         -rr2rtre:B&~>
   706         -]`8$1rr-*um-OEDiL<[p/jE*#/KHEAJYffc]Z%dbAgnr\0eYOX=^tlA8O>g=<Du=M7Sm,mA6_nq
   707         -1F3J1"q1nW5(KlBVm3S2Z`fX5:,OOZ5X-hB.9);Fl1k2QrVl`n#QFYurVlfprN?/2qu-NnrVliq
   708         -q=OL^qtU'erVnYOmF]7RPCn+!EHH,0?=78R>Z=!2%iH;s%MKHb$k=!f(E4JB,pk#i.kWG-/h\n2
   709         -/i*D_D`'F33B92b5<qS/:f(>$75-P`7Q!2Oan#9"o_n[_oCr7YeuG@]n,<:VX&q/+/Q@nWk2"VQ
   710         -o'PMriofRikND'lkih'Yb.!t$L5M:q[CEleaN)34]Y2"j\$il__7R.^Z*:L@]>)"[XO6P5qu6To
   711         -rVuius8N"Qs*t~>
   712         -])Vd/>l=*\q>KKL=#2d+=&1_$2I29F^r4@Ac*;7E/jDK\79!i:CLC"392Skp8jc9O>@hV_>"_+8
   713         -)$put+"C$H^qdCo_S*asTmU!-2*OT&2CL:aPKN=krqucps8W&s#Q4Jts8W)trVHNnrVulsrrE&3
   714         -rt##*rr2lqs8Dccq>U9equ-Kn/H+tg_5NQNH?!tKE+WQhAS,@R7O/]l,T%=<*#KJ0+<_sX/hf"7
   715         -1,UsL3BI."FZ29A4Ztni4[)(q6UaL67nuu^?!g)W2F9tn3I/d=qY'U\qt]jXrq=g=S\XRes6ld_
   716         -/KuQ:MT4T*cf49Qh:^Q@io/hQiSrqZi75oURu2oWQ)D"!]Yqq6`PB4&^V7:j]u%\#\@&ZKZaRN]
   717         -]reEbnbN+^rr2lrrW<-!reLN(~>
   718         -])Vd/>l='Zq>KKK<AHI$<DG@q2-Ym<^VRn7bcPb=/3Q*W79!i:Cgg799iPD&9h%lZ?>+4h>>%49
   719         -)$pon)^\4:]tLbc^Uh.iT6aR&1d+B"2(((^PfiCjrr)lrs8W&s#5nArrr2lpY5](/qu$Bhr;HNe
   720         -o(W(XpA+Uarr4MGldieJOahIhCi=&r>?kQE>#[g2&Ki>8(EOS7(`OYD,q1E"0eb=<2)dJm3!(rr
   721         -3rM0h4[)(q6:F@485E5d?!]uT2*aSe2g31-o^M;Bp[[V;q!H4qPe6/Prop%L-5dmoJ@a7Q_UI5f
   722         -bK%]Jc-4;Rcd1%hdD`VlNI,eqLmb-AYI;'U\$NBGZa$X7YdLsFXK&4sWNNY>[\p(Jn+c_Vr;HTl
   723         -rVlfrrr2rtrr.iUJ,~>
   724         -]`8$1s8N&s=nhIB]7`Zr(*P(S*uPb02f4n]Y-GOHQrY%:/Mo7>3CQeI=]\a2?X?r;;GBkY763"E
   725         -*>f:j!!*0)#TZcuU8Y5qVP]AS.O$5l4[_:O#RW.cNQU\]oDJUar<<,trr2lpY5eCu"98B"rVlfr
   726         -rVlirr]:#SoAnEBZB'BWE+`WlCM6gB2]`PE(D@Ak%1EUQ%1`s]'H/&:,:4fg/1iD)/hJY.0ekF?
   727         -2E3]X4T7K`5!VY:;G'AG83f-n>d!YpnauVSp[e+Xs5^J`_r^jrn&'0!-8.N*_<'nDjm)$eiTKOm
   728         -kiLphkiV'njO2)TNc]2ZGDMZ]WO9^lcG[H3`PoO#\$icU\@8lOZF.6S\#ud@cg1K-rr)`jr;HWp
   729         -rr.]QJ,~>
   730         -])Vg0s8?$qpZ0,L:amM:0et7)+!X*tTs_MJ`PSK^,9Jm15<qY6>@CuJ?XdMS?X$W2;G^%S2D$7#
   731         -*"iVf%hom8A!sX3]tCe\S7FQ11,qg"6RWQ\2.2]so(VkRrr;m"rVuosrr)]ms8Duss8N)u^&S!/
   732         -"98B"rVlfrrVlirrcJ,8oAnEB[#of`F)#9#D/*?P4<kX]+<2:;(D[`%(`OM<+t+rm/i#7A3&ruY
   733         -3&W]U4$,Pf5!VG%6q0X66UOOK<D5kO8jb[">d!\ro(DhVp@J"Ws5U;Y^uG=ilb@9d+Y,Nl]&2N+
   734         -hrN_Kg>M&QiSNJkiA]i]iR#QJN,roXG_hf_WO9^md)Nl;a2c!,\[]2]]",;W[(!WY\?E!Dd-U]0
   735         -rr)`jr;HWprr.]QJ,~>
   736         -])Vg0s8?$pp>`rK:F@570/4q#*$R^mTXD>C`589W,9Ag05<qV6>[q8Q@Us(^@U<8><DuX]3%cU)
   737         -*"iVe%2'F.@@+4,]=PAURq"?.1,qg#6mrZ^2IViqnFlVQrWiE"r;HWorV`o!qtp`ur;?HirVZQi
   738         -rr)io.f9#2j3klKN-TJ\@pWVXAlhSa*toP7)]BV4(Ddr-*?Q@I-nHl"0JYICrAT0_2E3`Y4$5\k
   739         -5sdq-779L29itCg77Bd63&Xs@mIoo8o(;D9m.p\8VOG!Lq"Em^BI"H>0PI]?f$r*tcc=,PdF$7^
   740         -air,XeCW-b[\81_@:X,!N0^$6\\u@q['mW[['-X7Y-5%3XJr2$Z*^a6Vm=J-q#($dqYU3hrr<#s
   741         -s8W,uMuS;~>
   742         -]`7s03rT'Tm(dj!"pc(n*tSf#.OR5lPGG(PWMu(Z&-j7*-m0KQ.lKOX8kr2S7S-*43&`2s!<<*%
   743         -":,88rW"#A+]sf*W2-;[E@M"u+tPZ1-PHe!1/W>$e`?,prqu`nr;Q]qs8W(srrE&srsA])rr)iq
   744         -r;-6drr4GHp?pbRY+V#;LldsfI:,/W%hKKj&e5<X$4@4N$k*U[)&aM=,UY#j.fCmu0)dP41,LmK
   745         -3B9/_3]fMo9M7f@7SlH,6\E_^p#b]:r:]^XrUA+8]]JqgouMbX.jI)eU"&>km-Elsjm)6pi8X+r
   746         -q!["jjm(dV`hnlXMM-bBK7/H@YIqT_]",8V]u@^o[f3f:\er&j\[T&UZG>Gorr2lnqY^<krr)fq
   747         -s8N"Us*t~>
   748         -])Vg0>lF^$oZDhI&.p*>.2s'P2D[dHT!5T/[^Mo<*"j_Z1b9t(1d4?":K(4e8PDcB5!(A7#Qk;?%
   749         -M]`g#S%7X2/8ep\$`ZFIlIrU/iZ0^0c^oH3a73FgZ\/)s8Drrrr)lrs8W,u!<)cns8Duss8N)u\
   750         -,QI-rVm3's8MurrquWgqu6U4rq>d:`3H,*Nf0*iR=]!:,8M+<*?,h2(B,$W(`XJ7+sn]f/ho.>2
   751         -Z>W:2)[Gn3ab$45=%V'6ps@.6qU<O7mfgF75RDbci!M"n+lnSo(r=Sc)\D6p&=O"IRY\,2Ii?)j
   752         -5f@`inrVQk2+bGjmVd(f[o3KhU]ZCOcG?RM2R"6KUB!X^q[Oo\@0/m^ppoR\f/2n]tCqd\$iWZi
   753         -q`TQrVQHhrVlfprVuosrepf,~>
   754         -])Vg0B`7u1ouVkJ&.g$>.2s'N1bqLCSZoH+[^Mf8*"j_Z1b9t)2*aZ+;H?jr9M\DN5s?tA$3UYE%
   755         -M]`g#7LtR1MEDk[^<HBIlS#W0/u9`1*.,M4BmEGg#ql&s8DrqrVZTlrr2rtrr0)#s8Dlns8>Rhr
   756         -VZWlqu$Bgq"OU`s8W#hle9.TSWJV[Mj0ER?p5VE(EOS9)&O,*(`+)1)]^+L,pt2q0JbOB2)[9K2
   757         -`WiX3]oSk5s[k*5s\O>92SGR6:Xm@0g^H8p@.&*nb)>8nb;CgU9E5<q<YhA5p7't>*R%\f\4s+c
   758         -HXedbJqZPg>1?#`mi_ga0q@gJ:2WfI<KUUNME_aZa-j<X0fOIXfhZ,s02X2Z*F;4$E^qpo_eX`q
   759         -YU3hrVhTPJ,~>
   760         -]`7p/1&C(]X_/UR!!3Q:!!!KS0h?;IUSai^VO(Er!=B2A#6bAD',2&n(`OD2'G:ln-Q`cp!%@pM
   761         -!!!'$!!tW<XeVVmR:e&X"q1hI#m1//)+&8+W41+7p\t*hr;$3frr2rts8Jts!<2rs$3'u(rVlfo
   762         -qYC$fs!ds@mbPa_TTk@jOI)2[?p#D>&/Grm%L`^P$O[CP$k<sh)BBtH-RgMpr@@q$r\._81c@<R
   763         -3BK;`4$H),91;0::dZs)K?sGfk3i!Ap@A(YnBS2LjnSlKaFd)8,<BG1eEQ5alfdHllL!]kip?@5
   764         -n(cRWlJU=7VNHjqKSPG;I>+&l]Y;(j\[JlY`P/dhrj`!>(q[Ai\$rcN^u>(frr)`jr;HWorVccr
   765         -rr.iUJ,~>
   766         -])Vd/@/]NL\TTD%!"0\^$jdn.5#m*)Z*^gAZ_h@T$5XNo%L`pd*#f\2*$?=C(D79".jbi0!!EK.
   767         -$4mRP'+YNk9:!8tZG!5\3YiDH'bq>j#7`"RH_%@ReEH]-rVlfoqu-Nns8W,u!<)cns8Duss8N)u
   768         -\,QI-rVm3's8MurrquWgqu6U4rq>d:`3H,*Nf0*iR=]!:,8M+<*?,h2(B,$W(`XJ7+sn]f/ho.>
   769         -2Z>W:2)[Gn3ab$45=%V'6ps@.6qU<O7mfgF75RDbci!M"n+lnSo(r=Sc)\D6p&=O"IRY\,2Ii?)
   770         -j5f@`inrVQk2+bGjmVd(f[o3KhU]ZCOcG?RM2R"6KUB!X^q[Oo\@0/m^ppoR\f/2n]tCqd\$iWZ
   771         -iq`TQrVQHhrVlfprVuosrepf,~>
   772         -])Vd/@/]QN\TTG&!"9b_$jdk-5#m'(Z*^d@Z__7R$5XNo%Lj$h*ZZ.<+!W!P)AEi-/gqD:!!NT0
   773         -$4mOM&If*c8X6roZ+R#Y3YrJI'bq>j#7`%SH_.IRe*$N+rVlclqYgEms8W,uY5eP#r;?Tn9)eee
   774         -rVZQjr;-3_q>UEor:K=/^oO#fLP1SMPC6h&*YK81*?,k5()If()B9\:+snT`.kWM31c.'J1c73P
   775         -3&s#^5!VD"6UO.*<^]SX:.@Q?;+*-*J^!iWiT]n*mcs?:m)5X%f^JY&^3W'g(bT!V`nK)!f@/$i
   776         -daQCZajSo!f#Pe[g<[gJR"U!<GC"[\EI!P=Yd:[AZ)t(6]X=lEric@,!j])9rica3]A)uUr;-9e
   777         -r;HTnL];l~>
   778         -]`7s0)uo]lbHcq'.2)pn%1Wph0M#`+Pan89VPo\Z&c)J-!VQKt";DRY"9JW&!!!'!!$qX\8<:*T
   779         -Tr4<':G*Oo!!!-1'e2^lQaXlRc//-mrVQEdr;Q`pr;Nl!qu-TqrVclurr)fpHi<j=rVlfpqY'LK
   780         -kLmtm^rk$O\qWWh#nIjc&.]3X$4@1K$4@7Q&ebut*?c[S-RgJo.k`S0/h\q71GgsJ3&Wca6pX44
   781         -5<V_12dWTFo'PQ(o(VeMs7OmS_V=hapth9+1,gdYQ,_G8kNM'jl0e-3k2GOqq![+gdPKbFmHiob
   782         -bJ^umV3lR:>\SVLStMI4M3"XO^9k>Z]"G_i]XbP^]=PGbg@G4Brr)fps8W)rs8W,tMuS;~>
   783         -])O>\rVuf[fYEk`1)LZB*#p%N5$)ffUT1>r['uc@+:8Sb"p>)6#R1A2!Wi?'r;\VY(`Eng!sf/8
   784         -#Rq1L$3q(g>G/mCZ+$]g>s'PR$ORC\+u`JKUV=prdc's"rquZjr;Q`qrWE3"rr)]ms8Duss8N)u
   785         -^&S!/!<<#s!rr8urVh<Fqtp?krr)]eo'tu!beq?CeCMBm9-+]_+WMC<(`*r&()Ii+)BBqE,q(8q
   786         -0JP@@2Dd9O4$#>\3BK>d5!VCu6V9s>7nZ05:ImKQXQ&j>k3MX5o_/=Xe@WKIp&"F:P=.&\.7]N<
   787         -e)'-Ehr*SZm-3E]iU$+!g<\4)lKdahk1Ikr\u_csH=0umJ!?V#RZ`SkX2;Z\\@]Df^V@Lq]"5Pe
   788         -\%g\hrVulqrVlisrqufrs8@lUJ,~>
   789         -])OA]rVuf\ftj%b1)LZB*#p%N5?DogUT1>r['uc@+:8Vc"p>,:$4$e;"U+r0"9&9V$6'uu#6bD?
   790         -"UGPF#RL\E-!?kW\$3<?LL!%l)%6i_(Ete;I&"L$c-bJCrr2ilqY^?mqu3buq>L?krr)lps8=)<
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  1936         -\,QI-rr<#s$NC"md'BdnjSAfRrr2Zls8N&u)u][/p\=U`rVuoqlcZK7\\#W$jS]#TrVlfprU0^c
  1937         -rVuj.q:MX7ZG"9@rVlcqr:g'cr;QQsr;HZqrr.KKjo>;YE;B;,rr2W^qYpHfpAb!?Vh&f1MNs-D
  1938         -AS#k+H['C6>%2Q)MisU+V43O(Pb=\5NIPJ8;dX?bIZ'>NNJidZQ]m8XKo_:CFbZBh^shK0e%`8g
  1939         -TVAKr]!A#tUU%DJbdX1=Yd:X>YHG".XKT">\%)CI!P5o?]EGpa`5T^p`Z)t>ai_cLc-b(ogYUiC
  1940         -g!n<kcd^OnbK7c?]tOEXrjrQO^r4=3\[T/KWm9kNs*t~>
  1941         -\,QI-rr<#s$NL(mc`sUkj7rWPrr)utrr2lpr;Hfsr;?Njrr<!2o@C.2Q(OnR]A*2[oD&=brVuib
  1942         -s8W'<s8DN3R>[iD]A*#TqZ$Niqu?]prVuoss8W)srVHMEs6]jcrb29'o(r@^nEp#MrV#sbqU_Zt
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  1944         -k3(4.[&9C[SZ9*,XeVo%Xf7b08j5O)5!VF465W!Q5<qFs5!M7s5X@_&5X7Ou6:=4/6pj?@7/]RS
  1945         -6kDdX9M\JZ8k;KI<EN:":esgb9DqNm91_TA7n,j<;b0c5Qc]8X~>
  1946         -]`8!1(B=C3qtg0aq"sjObH7b[hXpaCr;HWprVe)Brr)W^md^&Ns8N#ts8D`^mdK/MPB(M`H%;6u
  1947         -meleUs8W&rnGiOf*rl3;p"cfrDMjpadI6f'rVQBdrVQHfq>1!err<#tJcFm4rVgj4p\b$ip$qkW
  1948         -rV#m_psYsbCibApLiQp3CisoAAQMf7CjUhnQ(=M2LkLbUR>clF>tRdmAT2jFLPCG4Jqo>BIs?<o
  1949         -KQCpVP,>b4hVZMcXIkcCSZ9$&V443[VPBDq83B$o1GUX<0f(XF4$>\f3]d7%s#LQM3B/rT1cIER
  1950         -2E!ELr\a[3-SmJ20f1mQ4ZYMY2*+#m6pEk!4#o8\4$,Jb3]]5\4Zk\f7m0:ZMol!L~>
  1951         -])Vg0!<;ur$N:#'o\IL'f'E24rVlQks8N&u#Q4Gnp\4L\rVld-q:i9_^:'l5aSZ#8r;ZfrrpKgd
  1952         -rXf,.p!fh&WP?sRs8W&sqtU!bqZZors8W)tJcFj3rVh$=qY'^`r;-Ejp\4Rbs7Xp9IW^:.P^d7E
  1953         ->&AY3DJF*9JUr9)S$&rbMj0p1R?<u1K3h&9:gId_N0TEVK8l:eNIcY8NJrXIOJB,#ipu<^^Tj`2
  1954         -WP-9^VOF?h\\cFpStiKnY,\J"Vl$DoZ*UjG[^NZS\[oBN]/I75^VRe(_o9U8aN2EBaNDfVf%A[.
  1955         -f$i$mcd:.id*'ML^qRLp]tM(k]=br!b/Ls$\>?1RnB(]\~>
  1956         -])Vg0!<;op%K,kR_njjgq>^Horr2lprr2lrrr;p$r;HNjrr<#srXSo&lGB!YVkK99]Cl3sq>C6\
  1957         -s8Dp?m`1WJS$L3$r;HNlr;-?ks8Dors8N&urqu`orr)fqs8@NKmJm.aEr5S$pA=[[r;--[qu?]i
  1958         -eY@V;KU.pVBNSPZIX5sKE-m1gItsPtYap`<U846@S=bIA84?B]C42#)NIl_>Q^E\]ItW]:KnPJ[
  1959         -Yeo>fjjCcEUR.LU_SEFQX0\k$O_dNM5X%=r6:4+,6:!h"5!;%mrBCWS5s[b$5<hG#5skH9rC$ZQ
  1960         -!C]NX8e+E`8PDoZ<`Dpl:J=DR9)_Hm8k;E=6UsX685`#ZKVHTgJ,~>
  1961         -]`8$1s8N,uqu$6qqY9R5^qJ.YpAXskrVliqrr<!>r:f^KnFuq^rr2rtrV5pOn*AQ'H?FXYAo".,
  1962         -s7lKhrpg$grZ;+=rq+sHGA;f']&*/Vq#(!aqYg9dq=sd^rVlisrdk+3s8Dq;r;$*_rquWkqtKd[
  1963         -s8V]9SpGC+OH=iu:fV1PEbAlqF*`+UJ!?k/Q%b3dS<AboQ[Dk"4\8[aFFf7!GBSLqN.?%nI"?ir
  1964         -H\Ioe]@lE)b.":>Q(>1o\uD3pXJDDIC.:9J2`!3C0JP@?2`s5c4$,M&48q8G3B/rT1cIBPr\Z;b
  1965         -2)R3H1c$j>/M/V32)R0G2)dQ\6:!dt4$#A\3&ruY3&``P2ENrX4$u%uFd'rIJ,~>
  1966         -])Vg0&c_k.r;Q]os8Df]h;.Dlrr;rrrqHHmrr<!;r;-3_p\=U`rr)lrjh&+@Z&jI<q#:3hs8W)t
  1967         -mf3:c&H27NVid[ij8&`TrVcTfq>C3g"oS?!s8N"Ks5X-)rr<#rp%SIbrVl]gqYpBis7FX/H#J1o
  1968         -Nd+`%=__eiEHZ\TH\.?OVP9KDSt_dARA6XDH=BW<860;JO,A1)LRXlqJ:E93OGe^KSXl@_dEoS%
  1969         -Ne2Y=Zc^:nV6[tS_8*7HU9(JuW26;bUSXrmYd1R@Za@-L\%2IKs1&BI^:q@t_o0Rna!f$Nc-b+o
  1970         -f@80md*gFmd*Bn[ai2*2^:h7o]t:ke^W+L=]=,,CX4R'es*t~>
  1971         -])Vg0('":3rVlfps8Df\gt_2irr;rsrr2lprr2lrrr;p$r;HNjrr<#srr;j(psPn0XIao\T^;[R
  1972         -qu$H^s8Dp?mDkTHQ+,K?s8Mooqtg6js8Dors8N&urqu`orr)fqs8@NKmJm4bE;on;qXO1RrVZTh
  1973         -p%\O`qu?B:T6bI,P*1/t:L%dTD/slKH[LI.TVnQRQCjqDQ^X_IQ$[":7S6`nH&d]'F+p!NN.$))
  1974         -MN3IAM40m'[Ed%.T8J&;JuQf7]WS]WZ(Hh`7m0(#5!_P(6pj=,5!Am-!'U<F!'gHJs$-KHs$$cS
  1975         -5sdn+6UF1/r^.&]7S$*@77BdB;,U<k;&2u'91hcI8kMZG770=*7S#m:;+b#NXNCKm~>
  1976         -]`8$1s8Ni4qtTs_qYC$bpZgJckk=rQr;?Nms8DrsruV+4na>o@rr;uss8W&mo'l&7kIZCpJoFRY
  1977         -L?&:2rVZZbs8W'>s8N#igT>g9I\b0Pq"sj`qYC!dqYBs^q>1'hs8W(Ls5a4[rZD1=pA"Ucrr)]e
  1978         -q#'s`rpe1"FD?,[Mf_rh;e0NQC2j/o:O@qcT:;"(Q^a;%P+8/(F';'s5u(['Jp_9FH&Ri8EcZMW
  1979         -Kn";sPEV66a2YHRKQqHfVo-K[VQ[J/RYGBC4?PPZ1GLU>1c76T4Zkee3W2#=4!cpJ3&WWP2)R3I
  1980         -2)R9M2)I0H0J4n.0/,%20/GRL4Zkei5<V%fq`#$C2)?sD3]])V5WVMbS&t\\~>
  1981         -])Vg/"onPtqYgHmrWW)dnbN1arr2Tjs8N&u(B++(p@e7Ur;Z]ps6@S?`N=f0SF?LVrr29as8Eu;
  1982         -rqG-MQ(Z:mrVc`nq=sg`qtg3dqu$Ems8N"Ks5X-+rr<#sr;HWkq#(-irr;ikrVuK.M.C:PRZhel
  1983         -9j)"DEc>i0G)r>lQAh*&Ss,2#UnaHHQ]QAl9N+u,L4jG[J=<-kIX[$/Km\0+V3m"'X/V>*=%Z8.
  1984         -U;tTr]#r[RahOjESYrKfVPBiXTV8-YWN3,'YHY==['mKSr3lp@\\,Yl_SjIna!f$Nc-k.ne^2L^
  1985         -cI:@obfIoMai2*2^:_+j]!o)V]Z&+:]="u?XkNTms*t~>
  1986         -])Vg/"onPtqYgHmrWW)cnG3(`r;H]pqu.W6rVcZlqu$?irr<#trr;rmrVkWUW32V2?B4"Er;QZp
  1987         -rrE&es8W'/s8DH3TneiHlhp_[qYC!dr;Q`r"oeQ%rr)flrdk+:s8W&srau-+qt^![qu-Hjs8)Qi
  1988         -s7F<gASHjgQ$$,(?"RtqEG]K8OJ8P;NL$<2P`V6.Un*m?Oa(#)<E<ggJno+OR%B:cH\@9/H$PCD
  1989         -QA1X&W0;0u77CdW`RDoCbL=;*Lh'">5<_:s62a.O5sP?3!BWID4t8c^5X@V!5!D+m5!M:u6:4..
  1990         -6ps@-6:FC87mo[392S\h;,'hb;,'_V8cD<l84Q*85!MM,6UssH@$e@Es*t~>
  1991         -]`7p/'`Ie#q>:$aqtp*Sme?\ZrVQKjrr;rrs8O5?q!d\@q#:<mrr<#sp[[e?o'se_KS=532g!^P
  1992         -rr2lpmf3=d%KHG,p><93DL\eDo(MqZp^R,ur;6?eq>1!err<#tJcFg2rVh9DrVcTgr;QZmrV-'`
  1993         -rpRXV?t4\QO)Roe<F9EVC1h*sM4:)uLQ@mjN/*LdS<]1sLM]dT8k`T>G[b$'Ng,-9EdE:`Ec?`%
  1994         -O+*%]TSdGX5t,@Q^s0^*`6>feLL`k:4ZPDW1,1O@2E3`[4$#>]3]T5_4?P\d3&WWO1c54g)`9N3
  1995         -2)[BO1bgU7/het2.4mA<5=%@i4@)1n3rV/=3Xn&,1GCRE3]&c[4B%$5ao?k~>
  1996         -])Vg0"98AsqYpI'rVuorq>1*irVccrrr2`nqu.Q4q=aLSp@nI`rVlfad)Wr#KQ!47rVccprVlfa
  1997         -s8W$6rr;lV]V)1Os8W#srV?9er;-9eqtg3frVhBJjo>A[!<<&trr3&sq>C6lD>sJ0p\k-V[XMRp
  1998         -JWYn4>#AL:BkhEsDM"1IRZNc&P`:]mVkKHDT;%KpE,T?,L50nhHBFVSI<pF!Kn+`9Tpq16Un!6X
  1999         -<D[1ZVS'pidH'c]in1MsPG=tMU7e*KS=H.ATVJB^WN3/(YHbG5Zo5>#[C3TW]Y;1u`5Td:`lQEP
  2000         -daHLdaiVfTe'Z=W`Q6':^V.:j\$iZKYHtj[b/V!!ZCIcHr5nth~>
  2001         -])Vg0('":0qYpKmrVuorq"apgrVccrrr2lnrX&N$rqu]kqu$Ekqu.9(r;PcgXf7S,@#35)qYg?k
  2002         -rr;uds8Dp.p=QO2RE5.&qu6Kgqu?]qrr)j*rr<#tr;HWorVccrrIP"9s8W(Fs8Doqs8Moiq#(-k
  2003         -rr2fjp\k-W[sqdtJWl(8>Z4m?C27X"DM+7KRZWl)Q&^opW2#cKTVRj"F)bf2Lkg%gH]XVRI<^9u
  2004         -K78B6T:1n1U7I*U;GCDDTXr7ieE-&QaJa/J4$c(n4$,Sh5X@_'6UO+$4?Yhl5<qFurBCQN4?Ykm
  2005         -5X7V&r^-WM!(-WPs$I;e9iG%l;,'e^:eXMR84cGQ8IS-Y5s[n,6V10I?_GK^s*t~>
  2006         -])Vg/('":/q"jm`q"t$epA"R`qtp<hrVliqrr<!?rqGmInG3(`rr2rtr:omQmITqsS;Dc/7QGD.
  2007         -p\k-irVl?es8E`4rr)TQ^litt\*3SYq>'d[rVcWjrqZ]nr;HTnJcFm4s8E*"rr2os@fH6#r;Zfr
  2008         -rV?6^rVblbHX($/O,@mX:0;%=B4tjkIZg7fN/j*]L51tbR?*GrR##]nAR&hsIVND6L6$t/DfpPX
  2009         -G^G=9P_tWoQ%3C>8QpJ4\&652h;m,(VfG*a5Wgt]r\5-D1c@<S3]T,X3&`fW3]]8]2`EWP2#]?>
  2010         -2E*NP2`N`R1GCK]/e'B_0fV<]69R=k5sRRqr&YBN3]T)S1H%0L4%282PIns:J,~>
  2011         -])Vg0'`\11rVlcnr;Zfrr;HZnqu-Qprr2`nqu.Q4q"=:Op%S@_rVuoigW-^qN.IJDnGWCcrVlfa
  2012         -s8Ms*s8MN1Xg6[\s8;osrVl]oqZ$EoqYU3hrdk+2s8W&us8N#ss8N#ts8N"DrV--drp$tCA7p.B
  2013         -Jo+Xl>[V8bD.[I,Pbt=GNK'*fSY)OER[KS2QBdSeKT;1NIt!-2M1KtuIt`]8M3"!uY-=gmNeNCc
  2014         -[_',ccfOp#rVlZ.KnuCrTV%gGS!f\2Q'Rl1TqnQaWN*&%YHY=>[C*HQ]">Yi^qmqf`$`RKd*KqY
  2015         -aiMWLcHXPR`l,d3_7dIj['?j;WiE;8`Q,j*['>mghYtXsJ,~>
  2016         -])Vg0('":2rVlcnr;Zfrqu$KlqYgHorr2lnrX&N$rqu]kqu$Ekqu.9'qYf`uXe(Q"EfIlrp&4gf
  2017         -rr;uds8Dp.qrGJbV9o2@qu6TnrVuosrr)j*rr<#tr;HWorVccrrIP"9s8W''s8Dors8MuqqYk7.
  2018         -p\FdelF2:SB6]2`D-9qF?tjRsAnZISVPflCNg#g$TqS'JS"#k5Q]m2YO-,6JItio>JpM`nKSPDA
  2019         -NgHQDYGdqNKSc;)[CF'$kkY5NmaR+\2aoqk3&`fX4[;A(84Q$14?Yek5=#-22*jGi4[2.r5<qM#
  2020         -5X@Y#6:*t&5XIq5:K1:l;,C"^:/+>O84cEE8P;]J7RKO/6qgQM@&ho%s*t~>
  2021         -])Vg/('":2qu$?eq>C3hq>1'dq"jpdrVliqrr<!?rqGmInG3(`rr2rtr;$$Um.'YuW/>b,9hTQ:
  2022         -k5#&TrVl?es8E`4rr)TWbG'cS_!h-nqYU-drVcWjrqZ]nr;HTnJcFm4s8E*"rr2osrVlisB`@u0
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  2024         -KSbk`W2cSWLjt)HY-bXMbi/'amH;iP5W2"p3A`KH0etOA2)dKR2E(LmrAad8!]Dnnr\bQO2E*QS
  2025         -2Dm<H0J+e,/hf1F5!M@u5!D72563r2r]L3D$p6R01c.'K5taCCU=.0`J,~>
  2026         -\,R!;rr<#rq>:0jrVQNlr;6Hkrqufrrr2rtrVum!r:osaoE"[^rVd0#kK9p"T;T-Bl2CPZmf3=d
  2027         -)uT^8p<^+RgAV$Kr;HZoqYL*dqYL*erVuorrIP"/rrE&ts8N#ss8W)urD3Imq"=C]s6Ih#H=0i]
  2028         -C2@3ZAnb^]@:aJ7Ts1G\PEqQ&R%'Y9R$O&+R[KJ)OHl<'OG/7>Mi*%-F*;hRH%M-LV5L5iXgPp_
  2029         -aii,jnbrFd;9+BESY2[OUS=EOR?WbjNg?92USO``W2cr%Yd1R@['mKT]">Yi^qmn)`6-ENb/hZG
  2030         -b0.uNaMl*7^q[Xs\[A]FXJi%pXLQ-d_Rm.VR&Aucs*t~>
  2031         -\,R0@rr<#rq>:0jr;-<ir;-Bks8N#qrVlfp!<2ur*rPp4rVlisrVccpq"jpXdBT'uNgQc\h=U[E
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  2033         -s8VB,TR'sH?#".]=_2;V?X[MdLS:uOQ^!i(R[Te>SXPq5S",t7PED0$RZW>UL5_%AG&qhQH$P"(
  2034         -Su/KcWNESA_T'aJj7WHPqYK<A8j#X24ZYS`4$Gu!7Rom65<V+l5!Jj/!^Aq7r]UBK5!T$3.7$3`
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  2036         -]`8$2s8;rsrV[-#p\FddqY9maqY9ser"&c+rVc`ps8W&mnEf]?rr;rr(B++'o'Z&;hRASd?smu7
  2037         -[bgiZrVlconGiOf'`\11p[H\4O-d]MqY0d\rVcZlqtg<f#5\5prVuorJcFg2!ri6"rr2lrs8N&s
  2038         -.0';Bo_8CclH,]F?WUNICL17[Ch$m_AT<EqXe_,>O-,QcP*;&hMi7On%Z?4*Q'7)TH@L[&H>d\@
  2039         -rcB`?Mj^65U8+Wj\\Q2*d,+0`q!mq4PXdf,6U*Xl2E!EL1GUX<1,LjH2`<NO2uYc<2`Nbp2?Gfq
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  2041         -\,R!;rr<#pp\Omgr;6Bjrr)forqufrrr2rtrVum!r;$*dp&Xpbrr*9'rq4[@VROk&f]rA5mf3=d
  2042         -)uT^8pX6O^g%k[Gq>1*iq>1!cqYL*frVuorrIP",s8W)us8N#ts8Dosqu6>=r;ZfYZ[,VHA8bUC
  2043         -;cHUq@:sD"MP$fAT:(q+P*_Z/S!K5!O-?!"PaS;FT8nS]Pa-o>BlA->H$F^mQ_^ak^;\+7f];Gj
  2044         -p\Xserr1*!KpnX0Vl6MhTU_=/Lkq4cTq\9VUo()jXKJb1Yd1XD\%&u[]Y;.r_8FC?cHF?0aSs:$
  2045         -aMu-6^q[Us]=>5QY,\FuVl[8>`5THpV4bEbrlP1j~>
  2046         -\,R0@rr<#pp\Omgr;-<irr)fps8N#qrVlfp,6%Q?rquZjrVlisrVccpr;6?aj1UqIWPQa#i;*BN
  2047         -rr)lrn,NFe*rZ-=n]J&Ade*S;q=ssgr;HZqrr2rtrVuorrVZWmr;M9ImJm4crr<#t!<<#ss8W&s
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  2051         -]`8$2s8=2ArVZWlq"=F[rVH<bqu$?hqtp<is8Doqrr<#sq"!kEq>UEmrYGJ/p%%YEnE%f_F_cGs
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  2527         -JcC<$OT5%TJcE7[J,~>
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  2722         -%%EndData
  2723         -showpage
  2724         -%%Trailer
  2725         -end
  2726         -%%EOF

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

cannot compute difference between binary files

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

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

cannot compute difference between binary files

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Deleted 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)

Deleted 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         -

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

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Deleted 2014-03/taster.lyx.

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    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         -
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    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.
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   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
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   183         -LatexCommand label
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   187         -
   188         -Zwei Typen von Tastern: a) Drucktaster wie auf dem LaunchPad, 24V/DC.
   189         - b) robuster Drucktaster 250V/AC.
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   229         -Saubere Flanke am Launchpad-Taster Typ a)
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   269         -Taster Typ b) prellt
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   287         -Schaltung
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   291         -Die Schaltung für das Experiment ist denkbar einfach:
   292         -\end_layout
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   301         -P1.3 --- S2 --- GND
   302         -\end_layout
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   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
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   395         -3.6V
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   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         - 
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    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
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    92         -
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    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
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   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         -
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   213         -	width 90col%
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   226         -name "fig1"
   227         -
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   229         -
   230         -Saubere Flanke am Launchpad-Taster Typ a)
   231         -\end_layout
   232         -
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   234         -
   235         -
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   237         -
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   252         -	filename kalus-taster/taster-bild3.jpg
   253         -	width 90col%
   254         -
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   261         -\begin_inset Caption
   262         -
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   265         -LatexCommand label
   266         -name "fig3"
   267         -
   268         -\end_inset
   269         -
   270         -Taster Typ b) prellt
   271         -\end_layout
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   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         -
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   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
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   320         -wide false
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   327         -<lyxtabular version="3" rows="4" columns="2">
   328         -<features tabularvalignment="middle">
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   330         -<column alignment="center" valignment="top" width="0">
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   345         -gedrückt
   346         -\end_layout
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   396         -3.6V
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   405         -0V
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   422         -Logik des Tasters
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   433         -
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   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         -
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   496         -Weitere Experimente findet ihr auf der forth-ev Wiki-Seite mit den grundlegenden
   497         - Experimenten zu einer MCU.
   498         - Viel Vergnügen.
   499         - 
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Deleted 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}

Deleted 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         -;

Deleted 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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         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
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         1086  +)
         1087  +\@outlinefile=\write5
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         1090  +LaTeX Info: Redefining \Ref on input line 88.
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         1106  +
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         1113  +(grfext)             \AppendGraphicsExtensions on input line 452.
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         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.
         1426  +Package pdfcprot Info: I didn't find cmssmitT1.cpa.
         1427  +(pdfcprot)              As a fallback I will try pplmnT1.cpa. on input line 88.
         1428  +
         1429  +Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment
         1430  +(pdfcprot)             of the char protruding. It seems that it isn't the one
         1431  +(pdfcprot)             you intended to use. on input line 88.
         1432  +Package pdfcprot Info: I didn't find cmssmitTS1.cpa.
         1433  +(pdfcprot)              As a fallback I will try pplmnTS1.cpa. on input line 88
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Changes to ansprechpartner.tex.

    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\\
           18  +  {\bf Bernd Paysan}\\ Tel.: (0\,89)\,--\,41\,15\,46\,53 (p)\\
    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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         1939  +%%EndData
         1940  +showpage
         1941  +%%Trailer
         1942  +end
         1943  +%%EOF

Deleted drache30l.pdf.

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