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Difference From 6c27f409d3bc7f6c To 17a20ce798efb807
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2014-11-18
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| 18:48 | Hyphenation check-in: b5d1401a6a user: bernd tags: trunk | |
| 18:38 | Bastelartikel check-in: 17a20ce798 user: bernd tags: trunk | |
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2014-11-16
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| 20:00 | Lyx 2.0.x-Format check-in: 33867f5e23 user: bernd tags: trunk | |
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2014-10-21
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| 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.
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\begin{minipage}[t]{11cm}
\raggedright\large\sf\bfseries\itshape
für Wissenschaft und Technik, für kommerzielle EDV, \\
für MSR-Technik, für den interessierten Hobbyisten
\end{minipage}\quad}
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Added 2014-03/LPC-Bastelartikel.tex.
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\begin{document} \title{ARM Cortex und die Steckplatine} \author{Matthias Koch} \maketitle \begin{abstract} Wer schon immer einmal zum Kennenlernen mit einem kleinen ARM Cortex auf Lochraster oder Steckplatine basteln wollte, für den sei dieser Artikel gedacht - der auch eine "Vorspeise" zum großen ARM-Cortex Sonderheft darstellt, welches um Weihnachten erscheinen wird. \end{abstract} \begin{multicols}{2} \section{Ganz zu Beginn: Keine Angst!} Steckplatine und Drähte sind bestimmt vorhanden. Die restliche Zutatenliste ist kurz: 1 LPC1114FN28 mit achtundzwanzig lochrasterfreundlichen Beinchen (gibt's bei \url{http://www.watterott.com/})\\ 1 Kondensator 100\,nF\\ 2 Taster (Schließer)\\ 1 USB-Seriell-Adapterkabel mit 3,3\,V Pegeln plus\\ 1 sechspolige Stiftleiste, um es anzuschließen. Und zur Stromversorgung etwas zwischen ~3,0 V und 3,6 V. Wenn das USB-Seriell-Kabel wie jenes von FTDI eine 5V-Versorgungsspannung anbietet genügen: 2 Si-Dioden, z.B. 1N4148\\ 1 Leuchtdiode, gerne grün\\ 1 Widerstand 100 Ohm Sowie für die hier beschriebenen Experimente noch 1 RGB-Leuchtdiode mit gemeinsamer Kathode. All dies wird so zusammengebaut: (Schaltplan - muss noch hübsch gezeichnet werden) Die beiden Dioden sorgen für je 0.7V Spannungsabfall und so bleiben von den 5 V aus dem USB-Anschluss 3,6 V übrig. Die Leuchtdiode und ihr Vorwiderstand sind wirklich wichtig, weil sonst die Spannung ohne Last langsam ansteigen könnte. Wer mag und hat, kann natürlich stattdessen einen Spannungsregler verwenden. Wenn während des Loslassens des Reset-Tasters der Bootloader-Taster gedrückt ist, springt der Chip in den Bootloader-Modus und erwartet unsere Wünsche. Jetzt kann bereits Mecrisp-Stellaris geflasht werden. Dafür gibt es unter Linux LPC21ISP (\url{http://sourceforge.net/projects/lpc21isp/}) welches so aufgerufen wird: {\tt lpc21isp mecrisp-stellaris-lpc1114fn28.hex /dev/ttyUSB0 9600 12000} Wer Windows benutzt, wird mit Flash Magic (\url{http://www.flashmagictool.com/}) fündig. Anschließend ist ein Terminal mit 115200 Baud 8N1 zu öffnen und Mecrisp-Stellaris begrüßt uns nach einem weiteren Druck des Reset-Tasters. \section{Auf Entdeckungsreise} Ein Teil soll noch zur Zutatenliste hinzugefügt werden: Eine RGB-LED mit gemeinsamer Kathode, die einfach so neben den Chip in die Steckplatine eingefügt wird, dass die Anode für Rot an P1.0, die gemeinsame Kathode an P1.1, Grün an P1.2 und Blau an P1.3 angeschlossen ist. Wer mag, kann natürlich auch andere Leuchtdioden je nach Wunsch wählen. Vorwiderstände sind nicht nötig, da die Pins des Microcontrollers jeweils 4 mA liefern - mit Ausnahme von P0.7, wo 20 mA fließen. Beide Taster können nach Programmstart umkonfiguriert werden. Während der Bootloader-Taster nach seiner Abfrage beim Start frei ist, ist es für die ersten Experimente jedoch empfehlenswert, den Reset-Taster in seiner Funktion beizubehalten. Jetzt geht es an die Vorbereitung der Leitungen - dafür sind die IOCON-Register zuständig, die für jeden Pin festlegen, welche Funktion er erfüllen soll. Ein Blick ins Datenblatt für die Pinbelegung und ins Referenzhandbuch, das "User manual", Kapitel 8, ist an dieser Stelle sehr nützlich, weil es für unterschiedliche Pins viele Varianten gibt. Doch für jene Leser, die gleich loslegen wollen, seien hier die passenden Werte für die ersten Experimente fertig herausgesucht: \begin{verbatim} $D0 $40044010 ! ( P0.1 als digitalen IO-Pin mit ) ( internem Pullup für den Taster konfigurieren ) $C1 $40044078 ! ( P1.0 als digitalen IO-Pin ohne ) ( Sonderfunktionen konfigurieren ) $C1 $4004407C ! ( P1.1 ... ) $C1 $40044080 ! ( P1.2 ... ) $C1 $40044090 ! ( P1.3 ... ) \end{verbatim} Jetzt müssen noch die Leuchtdioden-Pins als Ausgänge geschaltet werden, was im Referenzhandbuch in Kapitel 12 beschrieben wird. Da diese Register oft verwendet werden, geben wir ihnen hier der Bequemlichkeit halber Namen: \begin{verbatim} $50003FFC constant P0DATA $50008000 constant P0DIR $50013FFC constant P1DATA $50018000 constant P1DIR \end{verbatim} Der Taster soll Eingang sein, was mit 0 P0DIR ! erreicht werden kann und wir machen die Leuchtdiodenanschlüsse alle auf einmal mit \verb|%1111 P1DIR !| zu Ausgängen. Anschließend können die einzelnen Farben in P1DATA zum Leuchten gebracht werden: \verb|%0001 P1DATA !| ergibt Rot, \verb|%0100| lässt Grün aufleuchten und \verb|%1000| lässt blaues Licht scheinen. Um den Taster zu lesen, ist eine kleine Definition nützlich : taster? ( -- ? ) 2 P0DATA bit@ ; mit der sogleich ein Farbwechsel programmiert werden kann \begin{verbatim} : rotgrün ( -- ) begin taster? if %0001 P1DATA ! else %0100 P1DATA ! then key? until ; \end{verbatim} \section{Ein kleiner Trick} Aufmerksame Leser des Ledcomm-Artikels (VD 2/2013) wissen bereits, dass sich Leuchtdioden auch als Photodioden nützlich sind und sich so für die Kommunikation nutzen lassen. Diesmal jedoch soll es einfacher zugehen und wir verwenden die RGB-Led als drei kleine farbempfindliche Solarzellen, die mit dem Analog-Digital-Wandler ausgelesen werden sollen. Für den Analog-Digital-Wandler, der in Kapitel 25 des Referenzhandbuches beschrieben ist, müssen wir zunächst einmal den Strom einschalten und den Takt aktivieren, was für die GPIOs und die serielle Schnittstelle ja schon beim Start von Mecrisp-Stellaris erledigt wird. Anschließend bekommt die Kathode einen Low-Ausgang und alle Anoden werden zu analogen Eingängen. In einer Schleife können nun die Spannungen an den Anoden nacheinander gemessen und ausgegeben werden. \begin{verbatim} $40048080 constant SYSAHBCLKCTRL \ Clock control register $40048238 constant PDRUNCFG \ Power-down configuration register $40044078 constant IOCON_PIO1_0 $4004407C constant IOCON_PIO1_1 $40044080 constant IOCON_PIO1_2 $40044090 constant IOCON_PIO1_3 $50013FFC constant P1DATA $50018000 constant P1DIR $4001C000 constant AD0CR \ AD-Wandler Control Register $4001C004 constant AD0GDR \ Global Data Register : farbsensor-init ( -- ) \ Vorbereitungen für den Farbsensor 1 13 lshift SYSAHBCLKCTRL bis! \ Takt für AD-Wandler einschalten 1 4 lshift PDRUNCFG bic! \ Stromaus-Bit des AD-Wandlers löschen $C1 IOCON_PIO1_1 ! \ P1.1 sei digitaler IO-Pin \ ohne Sonderfunktionen, 2 P1DIR ! \ Ausgang 0 P1DATA ! \ low $42 IOCON_PIO1_0 ! \ P1.0 sei analoger Eingang $42 IOCON_PIO1_2 ! \ P1.2 ... $42 IOCON_PIO1_3 ! \ P1.3 ... ; : analog ( Kanal -- Messwert ) \ Einen analogen Eingang wandeln 1 swap lshift \ Kanal wählen 4 8 lshift or \ CLKDIV = 4 --> 12 Mhz / 4 \ = 3 MHz < 4.5 MHz Maximum. 1 24 lshift or \ Messung starten AD0CR ! begin 1 31 lshift AD0GDR bit@ until \ Auf das Wandlungsende warten AD0GDR @ 6 rshift $3FF and \ Messergebnis passend schieben ; : farbsensor ( -- ) farbsensor-init begin 1 analog ." Rot: " u. 3 analog ." Grün: " u. 4 analog ." Blau: " u. cr key? until ; \end{verbatim} Die gemessenen Werte sind relativ zur Versorgungsspannung, die in diesem Beispiel 3,6\,V beträgt und lassen sich leicht umrechnen: $Spannung = Messwert * 3,6\,V / 1024$. Die Umrechnung der Verhältnisse der Messwerte untereinander in Farben muss für die verwendete RGB-Leuchtdiode experimentell ermittelt werden. Der Gedanke dabei ist, dass eine Leuchtdiode für ihre eigene abgestrahlte Farbe am empfindlichsten ist und sich manchmal auch von "blauerem" Licht, also mit größerer Photonenenergie, anregen lässt, jedoch nicht von "roterem" Licht, also mit geringerer Photonenenergie. Das heißt, dass rotes Licht nur die rote LED anregt, grünes Licht die grüne LED und ein bisschen auch die rote LED, während blaues Licht alle drei Leuchtdioden anregen kann. \end{multicols} \section{Listings} {\tt vd-analog.txt}: {\small\listinginput[1]{1}{2014-03/vd-analog.fs}} {\tt vd-digital.txt}: {\small\listinginput[1]{1}{2014-03/vd-digital.fs}} \end{document} |
Changes to 2014-03/Leserbriefe.tex.
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\part{Leserbriefe und Meldungen}
% \chaptermark{Leserbriefe und Meldungen}
\vspace*{-11mm}
\label{Leserbriefe1}
\begin{multicols}{2}
\input{2014-03/Meldung}\bigskip
\input{2014-03/LPC1114FN28-Meldung}\bigskip
%\input{2011-01/}\bigskip
%\vfill
%\hfill Fortsetzung Leserbriefe auf Seite \pageref{Leserbriefe2}
%\label{Leserbriefe1Ende}
%\hfill Fortsetzung auf Seite \pageref{Leserbriefe2}
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\part{Leserbriefe und Meldungen}
% \chaptermark{Leserbriefe und Meldungen}
\vspace*{-11mm}
\label{Leserbriefe1}
\begin{multicols}{2}
\input{2014-03/Meldung}\bigskip
\input{2014-03/LPC1114FN28-Meldung}\bigskip
\input{2014-03/forth-im-all}\bigskip
%\input{2011-01/}\bigskip
%\vfill
%\hfill Fortsetzung Leserbriefe auf Seite \pageref{Leserbriefe2}
%\label{Leserbriefe1Ende}
%\hfill Fortsetzung auf Seite \pageref{Leserbriefe2}
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Changes to 2014-03/Meldung.tex.
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Dezimalzahlen sind nicht "`richtiger"' als Binärzahlen, es wird nur in
bestimmten Fällen anders gerundet. Gerundet werden muss immer, die
Ergebnisse von Fließkommarechnungen sind immer Näherungen. Relevant
ist das mit dem Runden nur dann, wenn es vom Gesetzgeber
vorgeschrieben ist --- und das ist bei der Buchhaltung eben der Fall.
\hfill \textit{Bernd Paysan}
|
> > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > |
72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 |
Dezimalzahlen sind nicht "`richtiger"' als Binärzahlen, es wird nur in
bestimmten Fällen anders gerundet. Gerundet werden muss immer, die
Ergebnisse von Fließkommarechnungen sind immer Näherungen. Relevant
ist das mit dem Runden nur dann, wenn es vom Gesetzgeber
vorgeschrieben ist --- und das ist bei der Buchhaltung eben der Fall.
\hfill \textit{Bernd Paysan}
\begin{figure}
\begin{center}
\includegraphics[width=0.8\textwidth]{2014-03/haiku-pacman.eps}
\end{center}
\end{figure}
\begin{CJK}{UTF8}{bkai}
\section{Haiku --- 俳句}
\end{CJK}
Ein rechter Haijin versucht es in jeder Sprache. Also auch in Forth. Auf BradN's wiederbelebtem blog wird man fündig.
\begin{quote}
A Forth Haiku is an attempt to mix mathematics, art, and the Forth
programming language. It resembles a texture shader, however, the
emphasis is on direct expression in the resulting image.
\end{quote}
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
Link: \url{http://forthsalon.appspot.com/}
\begin{verbatim}
Core words (Glossary):
x y t push pop dup over 2dup drop swap rot
-rot = <> < > <= >= and or not min max + -
* / mod pow atan2 negate sin cos tan log
exp sqrt floor ceil abs pi z+ z* random :
PACKMAN
: d dup ;
: m 1 min ;
: f d floor - ;
: c cos abs ;
: j t 4 + 2 * x 8 * floor 8 / + 4 *
c 2 / t 4 + 2 / c 4 ** * - ;
: a 1 x x 8 * floor 0.5 + 8 / - d * y ;
: b - d * + sqrt 50 * 8 ** ;
: p x t 4 + pi / f 1.6 * - 0.2 + ;
: v t 4 + pi 2 * / f ;
a j 0.5 b -
v d 0.5 < * 4 * m *
1 p d * y 0.5 - d * + 36 * 30 ** m -
y 0.5 - p atan2 abs t 10 * c 0.8 * - 16 * m * 0 max
a 0.5 b - 0 max d p 16 * < * +
p d * y 0.58 b m *
v 0.5 >= *
+ d 0.2
\end{verbatim}
\section{Zen of LaunchPad - 430eForth}
(Auszugsweise; Vollständige Fassung in der Redaktion erhältlich. 14.10.2014.)
\begin{quote}
430eforth is case sensitive.
It does not have DO-LOOP. It uses FOR-NEXT.
It is not ANSI standard, but it is ANSI compatible.
It is a direct descendant of figForth, in spirit and in implementation.
... 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. ...
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.
\end{quote}
\hfill \textit{Chen-Hanson Ting}
Link: \url{http://www.offete.com/}
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Added 2014-03/deliano-goertzel/Bild10.eps.
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g].-NdJj1HpAY*mUAk2nJcG*:J,~> g])s-g]%6R])Ma1[/YX~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFpAY*mUAk2nJcG*:J,~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFpAY*mUAk2nJcG*:J,~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFpAY*mUAk2nJcG*:J,~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFpAY*mUAk2nJcG*:J,~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFpAY*mUAk2nJcG*:J,~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFpAY*mUAk2nJcG*:J,~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> g])s-g]%6R])Ma1[/YX~> g].-NdJj1HpAY*mUAk2nJcG*:J,~> g])s-g]%6R])Ma1[/YX~> g])s-g]%6R])Ma1[/YX~> g].-NdJj1HpAY*mUAk2nJcG*:J,~> g])s-g]%6R])Ma1[/YX~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFpAY*mUAk2nJcG*:J,~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFpAY*mUAk2nJcG*:J,~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFpAY*mUAk2nJcG*:J,~> f`(pOci3tFp](6nUAk2n])Ma1[/YX~> f`(pOci3tFp]'sfWrE&!])Ma1[/YX~> f`(pOci3tFpAamfWrE&!JcG*:J,~> f`(pOci3tFp]'sfWrE&!])Ma1[/YX~> f`(pOci3tFp\t3nq>UEpWrE&!])Ma1[/YX~> f`(pOci3tFmf*7eWrE&!JcG*:J,~> f`(pOci3tFp\t3nq>UEpWrE&!])Ma1[/YX~> f`(pOci3tFp\t3nq>^9kYl=\'])Ma1[/YX~> f`(pOci3tFmf3+`Yl=\'JcG*:J,~> f`(pOci3tFp\t3nq>^9kYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> g])s-g]%6R])Ma1[/YX~> g].-NdJj1Hkl1V_Yl=\'JcG*:J,~> g])s-g]%6R])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFkl1V_Yl=\'JcG*:J,~> f`(pOci3tFp\t3noD\djYl=\'])Ma1[/YX~> f`(pOci3tFp\t3noD\djr;ZTn]`.s3])Ma1[/YX~> f`(pOci3tFkl1V_r;ZTn]`.s3JcG*:J,~> f`(pOci3tFp\t3noD\djr;ZTn]`.s3])Ma1[/YX~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~> f`(pOci3tFkl1V_r;Q`sr;Q`s]`.s3JcG*:J,~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~> f`(pOci3tFkl1V_r;Q`sr;Q`s]`.s3JcG*:J,~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~> f`(pOci3tFkl1V_r;Q`sr;Q`s]`.s3JcG*:J,~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3])Ma1[/YX~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W,i9qu6Wr[/YX~> f`(pOci3tFkl1V_r;Q`sr;Q`s]`.s3`W,i9XoEn~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W,i9qu6Wr[/YX~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruqu6Wr[/YX~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruXoEn~> f`(pOci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruqu6Wr[/YX~> jo>>\rVultr;Q`sci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruqu6Wr[/YX~> jo>>\rVultr;Q`sci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruqu6Wr[/YX~> jo>>\rVultr;Q`sci3tFp\t3noD\djr;Q`sr;Q`s]`.s3`W#o<rr2ruqu6Wr[/YX~> jSo2[rr3'#s8N)trr<&Frr<&nrr<&jrr<&srr<&srr<&3rr<&<rr<&urr<&rrr<&+s*t~> jSo2[rr3'#s8N)trr<&Frr<&nrr<&jrr<&srr<&srr<&3rr<&<rr<&urr<&rrr<&+s*t~> jSo2[rr3'#s8N)trr<&Frr<&nrr<&jrr<&srr<&srr<&3rr<&<rr<&urr<&rrr<&+s*t~> jSo2[rr3'#s8N)trr<&;rr<%mrr<&<rr<&urr<&rrr<&+s*t~> jSo2[rr3'#s8N)trr<&;rr<%mrr<&<rr<&urr<&rrr<&+s*t~> jSo2[rr3'#s8N)trr<&;rr<%mrr<&<rr<&urr<&rrr<&+s*t~> jSo2[rr3*$s8N*!K`Km-!!'V1!!'D+J,~> jSo2[rr3*$s8N*!K`Km-!!'V1!!'D+J,~> jSo2[rr3*$s8N*!K`Km-!!'V1!!'D+J,~> jSo2[rr3'#s8N)trr<&;rr<%qs+(1B!;-;A~> jSo2[rr3'#s8N)trr<&;rr<%qs+(1B!;-;A~> jSo2[rr3'#s8N)trr<&;rr<%qs+(1B!;-;A~> jSo2[rr3'#s8N)trr<&;rr<%mrr<&1rr<&+s*t~> jSo2[rr3'#s8N)trr<&;rr<%mrr<&1rr<&+s*t~> jSo2[rr3'#s8N)trr<&;rr<%mrr<&1rr<&+s*t~> jo>;[rr;uuJcFR+!!'V1!!'D+J,~> jo>;[rr;uuJcFR+!!'V1!!'D+J,~> jo>;[rr;uuJcFR+!!'V1!!'D+J,~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcF0urr@WMeGk%~> JcF0urr@WMeGk%~> JcF0urr@WMeGk%~> f`1sO`rH&=r;Zcs_Z'T9rVlitJcF@%J,~> f`1sO`rH&=r;Zcs_Z'T9rVlitJcF@%J,~> f`1sO`rH&=r;Zcs_Z'T9rVlitJcF@%J,~> g&D-Ss8N)?rrW9$rrE&u!s&B$!6"p9!!*&r!:Tsf!5JR6!<3#u!4`&Z~> g&D-Ss8N)?rrW9$rrE&u!s&B$!6"p9!!*&r!:Tsf!5JR6!<3#u!4`&Z~> g&D-Ss8N)?rrW9$rrE&u!s&B$!6"p9!!*&r!:Tsf!5JR6!<3#u!4`&Z~> g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5\[@!<<'!rrE*!!4i,[~> g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5\[@!<<'!rrE*!!4i,[~> g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5\[@!<<'!rrE*!!4i,[~> g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5AI:!<3'!rrBV0J,~> g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5AI:!<3'!rrBV0J,~> g&D-Ss8N)<rr<&urrW9$rrBt:!!)ut!!)Bc!s&B$!5AI:!<3'!rrBV0J,~> g&D-Ss8N)=rr<&trrW9$rrBt:!!)ut!!)ut!!)Qh!s&B$!5AI:!<3'!rrBV0J,~> g&D-Ss8N)=rr<&trrW9$rrBt:!!)ut!!)ut!!)Qh!s&B$!5AI:!<3'!rrBV0J,~> g&D-Ss8N)=rr<&trrW9$rrBt:!!)ut!!)ut!!)Qh!s&B$!5AI:!<3'!rrBV0J,~> g&D-Ss8N)>rrN3#!<3!#!<<'!`;fc9rr;osnG`Rjs8N)6rrrK'rrE*!!4i,[~> g&D-Ss8N)>rrN3#!<3!#!<<'!`;fc9rr;osnG`Rjs8N)6rrrK'rrE*!!4i,[~> g&D-Ss8N)>rrN3#!<3!#!<<'!`;fc9rr;osnG`Rjs8N)6rrrK'rrE*!!4i,[~> f`1sOa8c)<rVultVuHi!s8N)7rs&Q(!<3'!rrBV0J,~> f`1sOa8c)<rVultVuHi!s8N)7rs&Q(!<3'!rrBV0J,~> f`1sOa8c)<rVultVuHi!s8N)7rs&Q(!<3'!rrBV0J,~> JcE4ZrrBk7r;cltrrBS/J,~> JcE4ZrrBk7r;cltrrBS/J,~> JcE4ZrrBk7r;cltrrBS/J,~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> JcC<$U]5i~> %%EndData showpage %%Trailer end %%EOF |
Added 2014-03/deliano-goertzel/Bild10.png.
cannot compute difference between binary files
Added 2014-03/deliano-goertzel/Bild10.tif.
cannot compute difference between binary files
Changes to 2014-03/deliano-goertzel/listing.txt.
35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 .. 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 ... 130 131 132 133 134 135 136 137 138 139 140 141 142 143 |
\ 4+ LB
5 ZVARIABLE AKKU" \ scratchpad
: AKKU+ \ ( UD1 --- ) Akku = Akku + UD1
00 AKKU" C!
2DUP AKKU" 1+ D! 00FF AND
AKKU 1+ D@ 00FF AND D+ \ add lower 3 bytes
2DUP AKKU 2+ C! AKKU 3 + !
SWAP DROP 0100 AND 8SHIFT> \ extract carry-bit
AKKU @ AKKU" @ + + AKKU ! \ add top 2 bytes plus carry
;
: AKKU- \ ( UD1 --- ) Akku = Akku - UD1
00 AKKU" C! AKKU" 1+ D!
AKKU 1+ D@ 00FF AND
AKKU" 1+ D@ 00FF AND D- \ subtract lower 3 bytes
2DUP AKKU 2+ C! AKKU 3 + !
SWAP DROP 0100 AND 8SHIFT> \ extract carry-bit
AKKU @ AKKU" @ - SWAP - AKKU ! \ sub top 2 bytes, sub carry
;
: SAT-AKKU \ ( --- ) saturate upper half
AKKU C@ 80 AND
IF
AKKU @ NOT FF80 AND \ if not B% 1111 1111 1xxx
IF 8000 AKKU 1+ ! \ saturate to xx 8000 xxxx
ERR-CNTR+
THEN
ELSE
................................................................................
AKKU @ FF80 AND \ if not B% 0000 0000 0xxx
IF 7FFF AKKU 1+ ! \ saturate to xx 7FFF xxxx
ERR-CNTR+
THEN
THEN
;
: AKKU@ \ ( --- N1 ) upper half
AKKU 1+ @ ;
: AKKU! \ ( D1 --- ) clear extension-byte
DUP 8000 AND IF FF ELSE 00 THEN AKKU C! \ extend to 40 Bit
AKKU 1+ D! ;
\ --------------------------------------
2 ZVARIABLE SIGN
: ABS \ ( N1 --- UN1 ) patch
DUP 8000 = IF DROP 8001 THEN
ABS ;
: (MAC) \ ( N1 UN1 --- UD1 ) setup SIGN for AKKU+
OVER 8000 AND SIGN ! \ flag = 1 if result negative
SWAP ABS U* ;
: AKKU+ \ ( UD1 --- )
SIGN @ IF AKKU- ELSE AKKU+ THEN ;
: MAC \ ( N1 A1" --- )
(MAC) AKKU+ ;
................................................................................
SAT-AKKU
AKKU@ ;
: INIT-ALP \ ( --- ) clear allpole filter
0 zRAM ! 0 zRAM 2+ ! ;
|>
|
| | | | | | > | | | | | > | < < < < < < < |
35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 .. 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 ... 132 133 134 135 136 137 138 |
\ 4+ LB
5 ZVARIABLE AKKU" \ scratchpad
: AKKU+ \ ( UD1 --- ) Akku = Akku + UD1
00 AKKU" C!
2DUP AKKU" 1+ D! 00FF AND
AKKU 1+ D@ 00FF AND D+ \ add lower 3 bytes
2DUP AKKU 2+ C! AKKU 3 + !
SWAP DROP 0100 AND 8SHIFT> \ extract carry-bit
AKKU @ AKKU" @ + + AKKU ! \ add top 2 bytes plus carry
;
: AKKU- \ ( UD1 --- ) Akku = Akku - UD1
00 AKKU" C! AKKU" 1+ D!
AKKU 1+ D@ 00FF AND
AKKU" 1+ D@ 00FF AND D- \ subtract lower 3 bytes
2DUP AKKU 2+ C! AKKU 3 + !
SWAP DROP 0100 AND 8SHIFT> \ extract carry-bit
AKKU @ AKKU" @ -
SWAP - AKKU ! \ sub top 2 bytes, sub carry
;
: SAT-AKKU \ ( --- ) saturate upper half
AKKU C@ 80 AND
IF
AKKU @ NOT FF80 AND \ if not B% 1111 1111 1xxx
IF 8000 AKKU 1+ ! \ saturate to xx 8000 xxxx
ERR-CNTR+
THEN
ELSE
................................................................................
AKKU @ FF80 AND \ if not B% 0000 0000 0xxx
IF 7FFF AKKU 1+ ! \ saturate to xx 7FFF xxxx
ERR-CNTR+
THEN
THEN
;
: AKKU@ \ ( --- N1 ) upper half
AKKU 1+ @ ;
: AKKU! \ ( D1 --- ) clear extension-byte
DUP 8000 AND IF FF ELSE 00 THEN
AKKU C! \ extend to 40 Bit
AKKU 1+ D! ;
\ --------------------------------------
2 ZVARIABLE SIGN
: ABS \ ( N1 --- UN1 ) patch
DUP 8000 = IF DROP 8001 THEN
ABS ;
: (MAC) \ ( N1 UN1 --- UD1 ) setup SIGN for AKKU+
OVER 8000 AND SIGN ! \ flag = 1 if result negative
SWAP ABS U* ;
: AKKU+ \ ( UD1 --- )
SIGN @ IF AKKU- ELSE AKKU+ THEN ;
: MAC \ ( N1 A1" --- )
(MAC) AKKU+ ;
................................................................................
SAT-AKKU
AKKU@ ;
: INIT-ALP \ ( --- ) clear allpole filter
0 zRAM ! 0 zRAM 2+ ! ;
|>
|
Changes to 2014-03/editorial.tex.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 |
\markboth{Editorial}{Editorial}
%examples for editor photos:
%\parpic[r]{\includegraphics[scale=0.8]{ulli}}
%\parpic[r]{\includegraphics[scale=0.4]{ew}}
%\parpic[r]{\includegraphics[scale=1]{bernd}}
%\parpic[r]{\includegraphics[scale=0.5]{cas}}
\section*{Liebe Leser,}
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam
nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat,
sed diam voluptua. At vero eos et accusam et justo duo dolores et ea
rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem
ipsum dolor sit amet. Lorem ipsum dolor sit amet, consetetur
sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et
dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam
et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea
takimata sanctus est Lorem ipsum dolor sit amet.
\vspace*{\fill}
|
| | | | | | | | | | > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 |
\markboth{Editorial}{Editorial}
%examples for editor photos:
%\parpic[r]{\includegraphics[scale=0.8]{ulli}}
%\parpic[r]{\includegraphics[scale=0.4]{ew}}
\parpic[r]{\includegraphics[scale=1]{bernd}}
%\parpic[r]{\includegraphics[scale=0.5]{cas}}
\section*{Liebe Leser,}
Als der kleine Prinz über einen kartoffelförmigen, aber
kohlrabenschwarzen Kometen lief, fand er eine blaue Blechkiste, die
kopfüber in einer Spalte steckte. "`Wo kommst du denn her, blaue
Blechkiste?"' --- "`Von der Erde"' sagte die Blechkiste. "`Und ich
heiße Philae. Ich bin hier auf Tschurjumow--Gerassimenko
heruntergefallen und stecke nun fest"' Der kleine Prinz wunderte sich
über den komplizierten Namen. "`Gebt ihr auf der Erde allen Kometen so
komplizierte Namen?"' --- "`Ja,"' sagte die Kiste, "`Wir benennen sie
nach den Entdeckern. Das sind oft Russen, weil die sehen ständig
Sterne. Entweder nach dem Wodka--Trinken oder wenn sie in den Himmel
gucken. Wenn uns das zu kompliziert ist, nennen wir den Kometen auch
einfach 67P. Aber ich kann nicht viel mit dir quatschen, meine
Batterie ist bald leer, und hier unten bekomme ich kein Licht, um sie
wieder aufzuladen."'
Die Kiste senkte ihren Bohrer ins Gestein, um noch schnell eine Probe
zu nehmen und schaltete sich dann ab. Das war kein besonders
gesprächiger Freund für den kleinen Prinz.
Bei solchen interplanetaren Expeditionen geht ja viel schief, und es
gibt auch viel unbekanntes zu entdecken. Mit dabei ist oft Forth, auch
in diesem Fall: 10 strahlungsfeste RTX2010 sollen in dem Lander
stecken, ausgewählt, weil sie besonders wenig Strom verbrauchen. Die
Mission ist in einer DSL geschrieben, darunter arbeitet ein
Forth--System, der Compiler ist von MPE. Das ist ein Standardmodul für
solche Missionen.
Allerdings werden heute oft nur FPGAs eingesetzt, und die tragen dann
halt eine Softcore--CPU als Nutzlast mit. Den RTX2000 gibt es von MPE
auch als solchen Softcore, aber wenn man schon einen Softcore hat,
kann man auch einen mit C nehmen, das kennt dann jeder. Allerdings
braucht man dann auch eine größere Batterie.
Der Rest des Hefts ist dann ganz irdisch, ebenso wie die anderen News
aus der Forth--Ecke: Die EuroForth hat in Palma de Mallorca getagt,
und, mit zwei kleinen nachträglichen Online--Abstimmungen, den
Forth--2012--Standard verabschiedet und zwei Tage, bevor Philae auf
67P gelandet ist, veröffentlicht.
Das vierte Heft in diesem Jahr wird ein ARM--Sonderheft.
\bigskip
\hfill {\em Bernd Paysan}
\vspace*{\fill}
|
Added 2014-03/forth-2012.lyx.
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#LyX 2.1 created this file. For more info see http://www.lyx.org/ \lyxformat 413 \begin_document \begin_header \textclass article \use_default_options true \maintain_unincluded_children false \language ngerman \language_package default \inputencoding utf8x \fontencoding global \font_roman default \font_sans default \font_typewriter default \font_default_family default \use_non_tex_fonts false \font_sc false \font_osf false \font_sf_scale 100 \font_tt_scale 100 \graphics default \default_output_format default \output_sync 0 \bibtex_command default \index_command default \paperfontsize default \spacing single \use_hyperref false \papersize default \use_geometry false \use_amsmath 1 \use_esint 1 \use_mhchem 1 \use_mathdots 1 \cite_engine basic \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date false \use_refstyle 1 \index Index \shortcut idx \color #008000 \end_index \secnumdepth 3 \tocdepth 3 \paragraph_separation indent \paragraph_indentation default \quotes_language german \papercolumns 1 \papersides 1 \paperpagestyle default \tracking_changes false \output_changes false \html_math_output 0 \html_css_as_file 0 \html_be_strict false \end_header \begin_body \begin_layout Title Der Forth--2012--Standard \end_layout \begin_layout Author Bernd Paysan \end_layout \begin_layout Abstract \size normal \emph on 2004 regte Anton Ertl an, einen neuen Standard zu entwickeln (unter dem ambitionierten informellen Namen Forth200x), da der alte nun schon 10 Jahre auf dem Buckel hat, und es üblicherweise alle 10 Jahre einen neuen Sprachstanda rd gibt --- so lange dauert das eben. 2014 ist dieses Standard--Dokument fertig geworden, es heißt \begin_inset Quotes gld \end_inset Forth--2012. \begin_inset Quotes grd \end_inset In diesem Artikel sollen die ganzen Veränderungen kurz beschrieben werden. \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash begin{multicols}{2} \end_layout \end_inset Warum \begin_inset Quotes gld \end_inset Forth--2012 \begin_inset Quotes grd \end_inset , wenn er erst 2014 fertig geworden ist? Weil 2012 so eine Art Feature--Freeze eingesetzt hat, also keine Aufnahme substantieller neuer RfDs, sondern nur noch Kleinigkeiten geändert wurden. Auch das dauert, denn auch wenn das Standard--Komitee auf inzwischen gar nicht mehr so moderne Kommunikationsmittel wie Usenet und E--Mail gesetzt hat, und sogar gegen Ende VOIP und Online--Abstimmungen benutzt hat, sind persönliche Treffen eben wichtig, aber rar. Einmal im Jahr eben, bei der EuroForth. \end_layout \begin_layout Standard Dieser Standard gehört keinem Standard--Body, aber die Vorgehensweise ist an den vorherigen ANSI--Standard angelehnt gewesen. Es gibt also Regeln für stimmberechtigte Mitglieder des Komitees, Regeln, wann eine Abstimmung als \begin_inset Quotes gld \end_inset Konsens \begin_inset Quotes grd \end_inset angesehen wird (ein Standard kodifiziert gemeinsame Praxis, also ist ein Standard ein Konsens--Werk), und Regeln, wie im Vorfeld mit Vorschlägen umgegangen wird. Wir haben kein \lang american Design by Committee \lang ngerman , sondern die RfDs, die üblicherweise von einem oder wenigen Personen ausgearbei tet werden, gemeinsam diskutiert und bei denen über einen Voting--Prozess CfV ein Stimmungsbild erhoben wird --- bei diesem CfV ist jeder stimmberechtigt , bei der Frage, ob das in den Standard kommt, und wenn ja, genau so oder leicht geändert, entscheidet das Komitee. Der Chair, \noun on Anton Ertl \noun default , hat kein Sonder--Votum. \end_layout \begin_layout Standard Der Standard baut auf dem dpANS94--Dokument auf, allerdings hat sich der Editor, \noun on Peter Knaggs \noun default , gegen Word und für LaTeX entschieden. Was hat sich nun in den letzten 10 Jahren am Standard geändert? \end_layout \begin_layout Section Änderungen zu Forth--94 \end_layout \begin_layout Standard Alle als \begin_inset Quotes gld \end_inset veraltend \begin_inset Quotes grd \end_inset markierten Wörter bis auf FORGET wurden aus dem Standard gestrichen, also #TIB, CONVERT, EXPECT, QUERY, SPAN und TIB. Und WORD, dessen veraltete Semantik das Anhängen eines Leerzeichens betrifft (von der ebenfalls veralteten Funktion CONVERT benutzt), hat diese Funktion verloren. \end_layout \begin_layout Standard Der separate Floating--Point--Stack, die für portable Programme nützlichere Variante, ist nun Standard. Standard--Programme müssen also nicht mehr für die Option gemeinsamer Stack auch codiert werden (das hat ohnehin niemand gemacht). Die Variante mit gemeinsamem Stack ist als \begin_inset Quotes gld \end_inset environmental restriction \begin_inset Quotes grd \end_inset noch zugelassen, ist aber aus der Mode geraten. \end_layout \begin_layout Standard In Forth--94 wurden Environment--Queries eingeführt, insbesondere für Wordsets, die kaum jemand benutzt hat. Diese gibt es zwar noch, die Queries auf Wordsets sind aber als veraltend markiert. Zudem wurden [COMPILE] und LOCALS| neu auf die Liste der veraltenden Wörter gesetzt, zu FORGET. Mit [DEFINED] und [UNDEFINED] ist die üblichere Variante des Nachfragens, ob ein Wort vorhanden ist, eingezogen. \end_layout \begin_layout Standard TO hat neue Ziele bekommen, nämlich Wörter, die von FVALUE und 2VALUE erzeugt werden. Ein System sollte sein TO also für verschiedene Ziele einrichten. \end_layout \begin_layout Standard Die Fehlerrückgaben \emph on iors \emph default in Forth--94 waren so gemeint, dass man sie mit THROW werfen kann. Das war aber nur eine Empfehlung. Jetzt ist es verpflichtend vorgeschrieben. Die Anzahl der lokalen Variablen hat sich auf 16 verdoppelt. \end_layout \begin_layout Standard Was viele Systeme schon lange nutzen, Number--Prefixe, ist jetzt auch Standard: # für Dezimal, $ für hex und % für binär. Zeichen können als ' \emph on c \emph default ' geschrieben werden. \end_layout \begin_layout Standard FASINH und FATAN2 wurden enger spezifiziert. \end_layout \begin_layout Section Zusätzliche Wörter \end_layout \begin_layout Subsection Core word sets \end_layout \begin_layout Standard Die Einführung deferred words in den Standard hat DEFER, IS, DEFER@, DEFER! und ACTION--OF hinzugefügt. Dann gibt es noch PARSE--NAME, S \backslash \begin_inset Quotes grd \end_inset , BUFFER: und HOLDS \end_layout \begin_layout Subsection Double Number word sets \end_layout \begin_layout Standard 2VALUE ermöglicht Values auch für diesen Datentyp \end_layout \begin_layout Subsection Facility word sets \end_layout \begin_layout Standard Hier sind zwei Gruppen eingeführt worden: Strukturen und Konstanten zur standardisierten Behandlung von EKEY. Die Strukturen bringen die Wörter BEGIN--STRUCTURE, END--STRUCTURE, +FIELD, CFIELD: und FIELD: mit, die Auswertung von EKEY--Ereignissen ein EKEY>FKEY, K--F1 bis K--F12, K--HOME, K--INSERT, K--LEFT, K--NEXT, K--PRIOR, K--RIGHT, K--UP, K--DOWN, K--DELETE, K--END, sowie die Masken K--ALT--MASK, K--CTRL--MASK und K--SHIFT--MASK. \end_layout \begin_layout Subsection File--Access word sets \end_layout \begin_layout Standard Hier wurden INCLUDE, REQUIRE und REQUIRED hinzugefügt. \end_layout \begin_layout Subsection Floating--Point word sets \end_layout \begin_layout Standard Die Fließkommazahlen haben drei Felder für die Strukturen bekommen, DFFIELD:, SFFIELD: und FFIELD:, ein erzeugendes Wort FVALUE, einen zusätzlichen Rundungsm odus FTRUNC (round to zero), und die auch schon weit verbreiteten Konversionsfun ktionen in Single F>S und S>F, da auf 64--Bit--Plattformen die Doubles weniger Sinn machen als früher. \end_layout \begin_layout Subsection Locals word sets \end_layout \begin_layout Standard Eigentlich sollte die geschweifte Klammer als Ersatz für LOCALS| aufgenommen werden, aufgrund Konflikte mit ein paar Systemen ist jetzt {: daraus geworden. In den vielen Systemen, die { als Locals--Block schon länger verwendet haben, wird das sicher auch weiterhin benutzbar bleiben. \end_layout \begin_layout Subsection Programming--Tools word sets \end_layout \begin_layout Standard Hier hat mit TRAVERSE--WORDLIST eine Higher--Order--Funktion Einzug in Forth gehalten, ebenso wie ein neuer Typ, \begin_inset Quotes gld \end_inset nt \begin_inset Quotes grd \end_inset , der Name Token. Den kann man mit NAME>STRING, NAME>COMPILE und NAME>INTERPRET in xts oder den String umwandeln. N>R und NR> ermöglichen es, \begin_inset Formula $n$ \end_inset Werte auf dem Stack (abgezählt im TOS) auf den Return--Stack zu schieben, und von dort wieder zurückzubekommen, etwa für GET--ORDER und SET--ORDER. SYNONYM erlaubt einen Alias, und [DEFINED]/[UNDEFINED] das Prüfen, ob ein Wort existiert. \end_layout \begin_layout Subsection String word sets \end_layout \begin_layout Standard Hier ist mit SUBSTITUTE und den Hilfswörtern REPLACES und UNESCAPE ein Vorschlag aus dem Internationalisierungs--Projekt aufgenommen worden: Damit kann man String--Templates mit Makros auffüllen. Als beiderseitigen Delimiter gibt es das von DOS inspirierte '%'. \end_layout \begin_layout Subsection Extended--Character word sets \end_layout \begin_layout Standard Dieses ist komplett neu, es ist die größte Änderung am Standard, die es erlaubt, mit heute üblichen Zeichensätzen variabler Länge (insbesondere UTF--8 hat weite Verbreitung gefunden) umzugehen. Forth hat hier den Vorteil, lang genug gewartet zu haben, die Programmiersprach en, die sich schon Anfang der 90er begeistert auf Unicode gestürzt haben, haben da eine frühe, und unreife Version davon bekommen, von der sie jetzt nicht so leicht wegkommen. UTF--8 und vergleichbare Codierungen sind ASCII--kompatibel, und haben einen sehr viel kleineren Reibungsverlust. \end_layout \begin_layout Standard An Wörtern gibt es X--SIZE, XC!+, XC!+?, XC, XC--SIZE, XC@+, XCHAR+, XEMIT, XKEY, XKEY?, +X/STRING und --TRAILING--GARBAGE im Extended--Character word set selbst, und CHAR (als Erweiterung füx xchars), EKEY>XCHAR, PARSE, X--WIDTH, XC--WIDTH, XCHAR--, XHOLD, X \backslash STRING-- und [CHAR] (ebenfalls für xchars) in den extended words. \end_layout \begin_layout Section Ausblick \end_layout \begin_layout Standard Der Standard selbst wird weiterhin als rollendes Dokument gepflegt und die Arbeit fortgesetzt, diese Ausgabe ist ein Snapshot, auf den sich die Forth--Gem einde geeinigt hat. Im Embedded--Bereich kleiner Systeme bleiben ein paar Probleme, die die Akzeptanz des Standards erschweren, also etwa CREATE .. DOES> und die Header--Flags, die in Flash--Systemen je nach Beschaffenheit auch Probleme machen können. Insbesondere im inzwischen populär werdenden ARM--Cortex--Bereich machen einige merkwürdige Gebilde den Programmierern das Leben schwer. Insofern werden diese Systeme wohl absichtlich immer die eine oder andere Warze behalten, die sie vom Standard unterscheidet. \end_layout \begin_layout Standard Das Komitee hat sich natürlich Arbeit aufgehalst. Es gibt insgesamt 15 Punkte, von denen wir jetzt schon planen, sie umzusetzen: \end_layout \begin_layout Enumerate Der Ansatz, über eine Library als Referenz--Implementierung Funktionalität zu standardisieren \end_layout \begin_layout Enumerate Einen Vorschlagsprozess für solche Libraries auszuarbeiten \end_layout \begin_layout Enumerate Die Bedeutung von Compilation/Interpretation und dem xt zu präzisieren \end_layout \begin_layout Enumerate Am Input--Format für Fließkommazahlen zu drehen \end_layout \begin_layout Enumerate Ein Wordset für Sockets (oder eine Library) \end_layout \begin_layout Enumerate Quotations \end_layout \begin_layout Enumerate Zweierkomplement in den Standard verankern, nachdem alles andere ausgestorben ist \end_layout \begin_layout Enumerate Ein Zeichen als eine Adress--Unit festschreiben, so wie das fast überall verwendet wird \end_layout \begin_layout Enumerate Recognizers einführen (ja, die hier im Heft) \end_layout \begin_layout Enumerate Multitasking und --threading sowie message passing und wie sich Nebenläufigkeit inzwischen darstellt \end_layout \begin_layout Enumerate Internationalisierung, bzw. das, was als dritter Teil übrig geblieben ist: Das Managen von übersetzten Texten und Meldungen \end_layout \begin_layout Enumerate Cross Compiler, ein Ansatz, der schon vor 15 Jahren mal angefangen wurde, aber inzwischen wieder veraltet ist, und erneut erarbeitet werden muss \end_layout \begin_layout Enumerate IEEE floating point library, das ist ein sehr umfangreiches Projekt \end_layout \begin_layout Enumerate Directories/filenames, nachdem der Widerstand der Menschen aus Backslashistan inzwischen gebröckelt ist \end_layout \begin_layout Enumerate Das Memory--Access--Wordset, das einfach auch nach der Überarbeitung immer noch zu groß war \end_layout \begin_layout Standard Es soll an neuer Technologie auch noch ein Wiki geben, in dem man den Standard nachlesen und bearbeiten kann. \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash end{multicols} \end_layout \end_inset \end_layout \end_body \end_document |
Added 2014-03/forth-im-all.tex.
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\section{Vom Explorer 11 zu Philae} Herzlichen Glückwunsch, lieber Chuck! 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. \begin{figure} \begin{center} \includegraphics[width=0.8\textwidth]{2014-03/s-15__explorer-11__1.png} \end{center} \end{figure} 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“. 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! 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. Am 12. November 2014 ist Philae gelandet. Eine erstaunliche Erfolgsgeschichte der Rosetta-Mission - und von Deinem Forth! db,mk \begin{figure} \begin{center} \includegraphics[width=0.8\textwidth]{2014-03/philae-rosetta.png} \end{center} \end{figure} \section{Quellen} \url{http://de.wikipedia.org/wiki/Charles_H._Moore} \url{http://en.wikipedia.org/wiki/RTX2000} \url{http://www.computinghistory.org.uk/det/25228/Novix-NC4000-Beta-Board/} |
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\begin_layout Author Rafael Deliano \end_layout \begin_layout Abstract \emph on Eine Variante der diskreten Fourier Transformation ( DFT ) \begin_inset CommandInset citation LatexCommand cite key "key-1" \end_inset die besonders für DTMF-Empfänger verwendet wurde. \end_layout \begin_layout Abstract \emph on Der Einsatz war ursprünglich auf DSPs beschränkt die dann aber 24 - 32 PCM-Kanäl e gleichzeitig verarbeiten konnten. Für nur einen Kanal sind heute auch 16 Bit Controller mit Multiplizierer schnell genug. Es ist damit zwar kein Verfahren das sich speziell für 8 Bit CPUs eignet. Aber wenn man nur eine Frequenz erkennen will zumindest nicht viel aufwendiger als ein Allpol-Filter \begin_inset CommandInset citation LatexCommand cite key "key-12" \end_inset . \end_layout \begin_layout Standard ................................................................................ \end_layout \begin_layout Section* Detektor \end_layout \begin_layout Standard Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT wie für DTMF-Empfänger in \begin_inset CommandInset citation LatexCommand cite key "key-10" \end_inset dargestellt \begin_inset CommandInset ref LatexCommand ref reference "Abb.1" \end_inset . Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts dargestellt e vereinfachte Variante ohne Berechnung der Wurzel in vielen Anwendungen ausreichend. Wegen der Integrate & Dump Stufe arbeitet diese Implementierung nicht kontinuie rlich, sondern liefert nur am Ende eines Datenblocks einen Ausgangswert. Diese Eigenschaft hat auch der Goertzel-Algorithmus \begin_inset CommandInset ref LatexCommand ref reference "Abb.2" \end_inset , selbst wenn seine Ähnlichkeit mit einem IIR-Filter \begin_inset CommandInset citation LatexCommand cite key "key-14" \end_inset ersteinmal anderes vermuten läßt. \end_layout \begin_layout Section* Goertzel \end_layout \begin_layout Standard Wegen der komplexen Rechnung müßte man für ihn eigentlich zwei Filter verwenden \begin_inset CommandInset ref LatexCommand ref reference "Abb.3" \end_inset . Die linke Hälfte des Filters ist aber identisch, also findet sich in der Literatur meist eine kompaktere Darstellung \begin_inset CommandInset ref LatexCommand ref reference "Abb.4" \end_inset . Man beachte dann aber, daß die rechte Hälfte komplexes Datenformat hat. Dieser Teil wird aber nur einmal, am Ende des Datenblocks berechnet. \end_layout \begin_layout Section* Allpol \end_layout \begin_layout Standard Die linke Hälfte arbeitet wie bei einem Filter gewohnt kontinuierlich über jedes Sample. Bei einem DTMF-Empfänger der als A/D-Wandler ein PCM-Codec verwendet ist die Samplerate fest fs=8kHz. Die Frequenzen der 8 DTMF-Töne sind auch vorgegeben. Variabel ist dann also nur N die Zahl der Samples im Datenblock. Große Werte wären wegen der Schmalbandig-keit besser. Für k sind aber ganzzahlige Werte nötig. Mit geringer Frequenzabweichung für alle 8 Frequenzen. Das schränkt die Möglichkeiten ein. Der übliche Wert für fs=8kHz ist dann N=205 ( Tabelle 1 ) \begin_inset CommandInset citation LatexCommand cite key "key-4" \end_inset , obwohl auch N=105 schon vorgeschlagen wurde ( Tabelle 2 ). Man kann auch auf fs=4kHz reduzieren, dann empfiehlt sich N=106 \begin_inset CommandInset citation LatexCommand cite key "key-5" \end_inset . \end_layout \begin_layout Standard Die Koeffizienten sind so gewählt, daß dieses Filter auf der Stabilitätsgrenze liegt und damit extrem schmalbandig ist. Da der Faktor „a1“ als Festkommazahl nicht exakt darstellbar ist könnte das Signal entweder Richtung Übersteuerung driften oder abklingen. Aber die Quantisierung der Daten die bei digitalen Filtern meist für unschöne Grenzzyklen sorgt wirkt sich hier meist stabilisierend auf die Schwingung aus. Solange das Signal nicht innerhalb der N=205 Samples wegdriftet ist die Funktion nicht beeinträchtigt. \end_layout \begin_layout Section* Squared Magnitude \end_layout \begin_layout Standard Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung der Zeigerlänge kombiniert werden erhebliche Vereinfachungen möglich ( Bild 5 ). Nach Ausgabe des Ergebnisses müssen die beiden Speicher des Filters auf Null gesetzt werden und der nächste Datenblock kann beginnen. \end_layout \begin_layout Section* Nachverarbeitung \end_layout \begin_layout Standard Da der Datenblock mit einem Rechteckfenster gewichtet wurde ist der Frequenzgang wellig und für Oberwellen etwas durchlässig ( Bild 6 ). Für viele Anwendungen genügt deren Bedämpfung jedoch. Bei DTMF-Signalen z.B. sind kaum Oberwellen vorhanden. \end_layout \begin_layout Standard Wenn das Eingangssignal z.B. durch ALC einen konstanten Pegel hat genügt der Vergleich mit einer festen Schaltschwelle um eine Frequenz zu erkennen ( Bild 7a ). Andernfalls kann man mit breit- bandigen Energiedetektor den Eingangspegel bestimmen und daraus die Schaltschwelle ableiten ( Bild 7b ). \end_layout \begin_layout Standard Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel verwendet \begin_inset CommandInset citation LatexCommand cite key "key-3" \end_inset ( Bild 7c ). Da Sprache im Gegensatz zu DTMF reichlich Oberwellen hat erleichtert der zusätzliche Detektor die Unterscheidung beider Signale. \end_layout \begin_layout Section* Und nun zur Implementierung \end_layout \begin_layout Standard Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24 verwendet. fs/ft ist dann ca. 8,5 und die Konstante a1 hat den Wert 1,4712. \end_layout \begin_layout Standard Wenn man diesen Allpol mit Puls anregt wird er dauerhaft auf der Sinusfrequenz, d.h mit ca. 8,5 Samples Periode, weiterschwingen. \end_layout \begin_layout Section* Sinusgenerator \end_layout \begin_layout Standard Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem Bereich ( Bild 10 ). Gerade Längen mit 7 ... 20 Samples enthalten eine einzelne Sinuskurve. Eine Tabelle mit 17 Samples die zwei Sinusperioden enthält kann krumme Werte wie 8,5 darstellen. Die Tabellen werden hier mit +/-7FFF vollausgesteuerte verwendet. Die 16 Bit Dynamik im Allpol-Filter reicht dann nur recht knapp aus. Es empfiehlt sich wie in \begin_inset CommandInset citation LatexCommand cite key "key-12" \end_inset ein 32 Bit Akkumulator der auf 40 Bit erweitert ist und damit Überlauf erkennt und Sättigung durchführen kann. \end_layout \begin_layout Standard Nach Tests wurde der Vorteiler am Eingang ( Bild 8 ) auf 2^7 ausgelegt. Dämpft man noch mehr wird intern ungenügend ausgesteuert. Während mit 2^6 die Overflows bereits Nebenmaxima verschlechtern ( Bild 10 ). Zwar wird der Überlauf durch die Sättigungslogik entschärft, aber eine leichte Verschlechterung des Meßwerts tritt trotzdem ein, sodaß er nicht unbegrenzt tolerierbar ist. Man sollte also in realen Anwendungen anhand anliegendem Pegel und Frequenzgemi sch untersuchen wie sich intern die Aussteuerung des Allpols verhält. Die abschliessende Berechnung der Zeigerlängen ( Bild 9 ) ist zwar etwas umfänglich, aber technisch unproblematisch. \end_layout \begin_layout Section* Timing \end_layout \begin_layout Standard Das Programm belegt in Assembler auf einem 2,45 MHz MC68HC908 ca. 400 Bytes FLASH. Der Allpol benötigt 220usec pro Sample, die folgende Berechnung der Zeigerlänge 350usec. Wenn der Allpol z.B. in einem 250usec Timerinterrupt berechnet wird ( Bild 11 ), wird man dort auch die abschliessende Berechnung der Ausgabewerte vornehmen. Die Unterbrechung von 1... 2 Samples ist bezogen auf die Blocklänge N=205 unerheblich. \end_layout \begin_layout Section* Guard-Bits \end_layout \begin_layout Standard Für Simulation und Debugging des Algorithmus ist oft ein portable Variante in Hochsprache wünschenswert. Es ist in Assembler einfach an das 32 bit Datenwort 8 Bit anzuhängen um einen überlaufsicheren 40 Bit Akkumulator zu erhalten. In Hochsprache teilt man die Summierung in eine 32 Bit Addition bei der das oberste Bit gelöscht ist ( Bild 12 ), sodaß man Carry detektieren kann. Gefolgt von zwei Additionen für die oberen 16 Bit und das Carrybit. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild1.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild2.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild3.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild4.eps \end_inset \end_layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild5.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild6.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild7.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild8.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild9.eps \end_inset ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout (muss noch komponiert werden aus der 11wer Gruppe) \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "Abb.10" ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild11.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild12.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem key "key-1" \end_inset Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“ Amer. Math. Monthly Jan. 1958 \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "2" key "key-2" \end_inset Gerdsen, Kröger „Digitale Signalverarbeitung in der Nachrichtentechnik“ Springer 1993 \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "3" key "key-3" \end_inset Mock „Add DTMF generation and decoding to DSP-uP designs“ EDN March 1985 \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "4" key "key-4" \end_inset Chen "Modified Goertzel Algorithm in DTMF Detection Using the TMS320C80" Application Note SPRA066 1996 \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "5" key "key-5" \end_inset Gay, Hartung, Smith „Algorithms for Multi-Channel DTMF Detection for the WE DSP32 Family“ ICASSP 89 \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "10" key "key-10" \end_inset emb (12) DTMF-Decoder \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "11" key "key-11" \end_inset emb (13) 2pol Allpol Filter \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "12" key "key-12" \end_inset emb (14) Biquads \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \begin_inset CommandInset bibitem LatexCommand bibitem label "14" key "key-14" \end_inset ................................................................................ end{multicols} \end_layout \end_inset \end_layout \begin_layout Section* Listings \end_layout \begin_layout Standard \size footnotesize \begin_inset ERT status open ................................................................................ \begin_layout Plain Layout \backslash listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt} \end_layout \end_inset \end_layout \end_body \end_document |
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\begin_layout Author Rafael Deliano \end_layout \begin_layout Abstract \emph on Eine Variante der diskreten Fourier-Transformation (DFT) \begin_inset CommandInset citation LatexCommand cite key "key-1" \end_inset , die besonders für DTMF-Empfänger verwendet wurde. \end_layout \begin_layout Abstract \emph on Der Einsatz war ursprünglich auf DSPs beschränkt, die dann aber 24 - 32 PCM-Kanäle gleichzeitig verarbeiten konnten. Für nur einen Kanal sind heute auch 16-Bit-Controller mit Multiplizierer schnell genug. Es ist damit zwar kein Verfahren, das sich speziell für 8-Bit-CPUs eignet, erreicht. Aber wenn man nur eine Frequenz erkennen will, ist das zumindest nicht viel aufwändiger als ein Allpol-Filter \begin_inset CommandInset citation LatexCommand cite key "key-11" \end_inset . \end_layout \begin_layout Standard ................................................................................ \end_layout \begin_layout Section* Detektor \end_layout \begin_layout Standard Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT, wie für DTMF-Empfänger in \begin_inset CommandInset citation LatexCommand cite key "key-10" \end_inset dargestellt \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.1" \end_inset ) \series default . Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts dargestellt e vereinfachte Variante ohne Berechnung der Wurzel in vielen Anwendungen ausreichend. Wegen der Integrate-&-Dump-Stufe arbeitet diese Implementierung nicht kontinuie rlich, sondern liefert nur am Ende eines Datenblocks einen Ausgangswert. Diese Eigenschaft hat auch der Goertzel-Algorithmus \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.2" \end_inset ) \series default , selbst wenn seine Ähnlichkeit mit einem IIR-Filter \begin_inset CommandInset citation LatexCommand cite key "key-12" \end_inset ersteinmal anderes vermuten lässt. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild1.eps scale 75 \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild2.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Section* Goertzel \end_layout \begin_layout Standard Wegen der komplexen Rechnung müsste man für ihn eigentlich zwei Filter verwenden \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.3" \end_inset ) \series default . Die linke Hälfte des Filters ist aber identisch, also findet sich in der Literatur meist eine kompaktere Darstellung \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.4" \end_inset ) \series default . Man beachte dann aber, dass die rechte Hälfte komplexes Datenformat hat. Dieser Teil wird aber nur einmal, am Ende des Datenblocks, berechnet. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild3.eps scale 75 \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild4.eps \end_inset \end_layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Section* Allpol \end_layout \begin_layout Standard Die linke Hälfte arbeitet, wie bei einem Filter gewohnt, kontinuierlich über jedes Sample. Bei einem DTMF-Empfänger, der als A/D-Wandler ein PCM-Codec verwendet, ist die Samplerate fest fs=8kHz. Die Frequenzen der 8 DTMF-Töne sind auch vorgegeben. Variabel ist dann also nur N, die Zahl der Samples im Datenblock. Große Werte wären wegen der Schmalbandigkeit besser. Für k sind aber ganzzahlige Werte nötig. Mit geringer Frequenzabweichung für alle 8 Frequenzen. Das schränkt die Möglichkeiten ein. Der übliche Wert für fs=8kHz ist dann N=205 \series bold (Tab. \begin_inset CommandInset ref LatexCommand ref reference "tab-1" \end_inset ) \series default \begin_inset CommandInset citation LatexCommand cite key "key-4" \end_inset , obwohl auch N=105 schon vorgeschlagen wurde \series bold (Tab. \begin_inset CommandInset ref LatexCommand ref reference "tab-2" \end_inset ) \series default . Man kann auch auf fs=4kHz reduzieren, dann empfiehlt sich N=106 \begin_inset CommandInset citation LatexCommand cite key "key-5" \end_inset . \end_layout \begin_layout Standard Die Koeffizienten sind so gewählt, dass dieses Filter auf der Stabilitätsgrenze liegt und damit extrem schmalbandig ist. Da der Faktor „a1“ als Festkommazahl nicht exakt darstellbar ist, könnte das Signal entweder Richtung Übersteuerung driften oder abklingen. Aber die Quantisierung der Daten, die bei digitalen Filtern meist für unschöne Grenzzyklen sorgt, wirkt sich hier meist stabilisierend auf die Schwingung aus. Solange das Signal nicht innerhalb der N=205 Samples wegdriftet, ist die Funktion nicht beeinträchtigt. \end_layout \begin_layout Standard \begin_inset Float table wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "tab-1" \end_inset Parameter DTMF-Decoder [4] \end_layout \end_inset N=205 fs=8kHz \end_layout \begin_layout Plain Layout \align center \begin_inset Tabular <lyxtabular version="3" rows="9" columns="3"> <features tabularvalignment="middle"> <column alignment="center" valignment="top" width="0"> <column alignment="center" valignment="top" width="0"> <column alignment="center" valignment="top" width="0"> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout ft= \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout k= \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout a1= \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 697Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 18 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 27906 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 770Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 20 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 26802 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 852Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 22 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 25597 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 941Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 24 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 24295 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1209Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 31 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 19057 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1336Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 34 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 16529 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1477Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 38 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 12945 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1633Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 42 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 9166 \end_layout \end_inset </cell> </row> </lyxtabular> \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float table wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "tab-2" \end_inset Parameter DTMF-Decoder [5] \end_layout \end_inset N=105 fs=8kHz \end_layout \begin_layout Plain Layout \align center \begin_inset Tabular <lyxtabular version="3" rows="9" columns="2"> <features tabularvalignment="middle"> <column alignment="center" valignment="top" width="0"> <column alignment="center" valignment="top" width="0"> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout ft= \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout k= \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 697Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 9 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 770Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 10 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 852Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 11 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 941Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 12 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1209Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 16 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1336Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 18 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1477Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 19 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1633Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 21 \end_layout \end_inset </cell> </row> </lyxtabular> \end_inset \end_layout \end_inset \end_layout \begin_layout Section* Squared Magnitude \end_layout \begin_layout Standard Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung der Zeigerlänge kombiniert, werden erhebliche Vereinfachungen möglich \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.5" \end_inset ) \series default . Nach Ausgabe des Ergebnisses müssen die beiden Speicher des Filters auf null gesetzt werden und der nächste Datenblock kann beginnen. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild5.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \begin_layout Section* Nachverarbeitung \end_layout \begin_layout Standard Da der Datenblock mit einem Rechteckfenster gewichtet wurde, ist der Frequenzgan g wellig und für Oberwellen etwas durchlässig \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.6" \end_inset ) \series default . Für viele Anwendungen genügt deren Bedämpfung jedoch. Bei DTMF-Signalen z.B. sind kaum Oberwellen vorhanden. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild6.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Wenn das Eingangssignal z.B. durch ALC einen konstanten Pegel hat, genügt der Vergleich mit einer festen Schaltschwelle, um eine Frequenz zu erkennen \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.7" \end_inset a) \series default . Andernfalls kann man mit breitbandigen Energiedetektor den Eingangspegel bestimmen und daraus die Schaltschwelle ableiten \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.7" \end_inset b) \series default . \end_layout \begin_layout Standard Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel verwendet \begin_inset CommandInset citation LatexCommand cite key "key-3" \end_inset \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.7" \end_inset c) \series default . Da Sprache im Gegensatz zu DTMF reichlich Oberwellen hat, erleichtert der zusätzliche Detektor die Unterscheidung beider Signale. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild7.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \begin_layout Section* Und nun zur Implementierung \end_layout \begin_layout Standard Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24 verwendet. fs/ft ist dann ca. 8,5 und die Konstante a1 hat den Wert 1,4712. \end_layout \begin_layout Standard Wenn man diesen Allpol mit Puls anregt, wird er dauerhaft auf der Sinusfrequenz, d.h mit ca. 8,5 Samples Periode, weiterschwingen. \end_layout \begin_layout Section* Sinusgenerator \end_layout \begin_layout Standard Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem Bereich \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.10" \end_inset ) \series default . Gerade Längen mit 7 ... 20 Samples enthalten eine einzelne Sinuskurve. Eine Tabelle mit 17 Samples, die zwei Sinusperioden enthält, kann krumme Werte, wie 8,5 , darstellen. Die Tabellen werden hier mit +/-7FFF vollausgesteuert verwendet. Die 16-Bit-Dynamik im Allpol-Filter reicht dann nur recht knapp aus. Es empfiehlt sich, wie in \begin_inset CommandInset citation LatexCommand cite key "key-12" \end_inset , ein 32-Bit-Akkumulator, der auf 40 Bit erweitert ist und damit Überlauf erkennt und Sättigung durchführen kann. \end_layout \begin_layout Standard Nach Tests wurde der Vorteiler am Eingang \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.8" \end_inset ) \series default auf 2^7 ausgelegt. Dämpft man noch mehr, wird intern ungenügend ausgesteuert. Während mit 2^6 die Overflows bereits Nebenmaxima verschlechtern \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.10" \end_inset ) \series default . Zwar wird der Überlauf durch die Sättigungslogik entschärft, aber eine leichte Verschlechterung des Messwerts tritt trotzdem ein, sodass er nicht unbegrenzt tolerierbar ist. Man sollte also in realen Anwendungen anhand anliegendem Pegel und Frequenzgemi sch untersuchen, wie sich intern die Aussteuerung des Allpols verhält. Die abschließende Berechnung der Zeigerlängen \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.9" \end_inset ) \series default ist zwar etwas umfänglich, aber technisch unproblematisch. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild8.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild9.eps \end_inset ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild10.png scale 75 \end_inset \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "Abb.10" ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Section* Timing \end_layout \begin_layout Standard Das Programm belegt in Assembler auf einem 2,45-MHz-MC68HC908 ca. 400 Bytes FLASH. Der Allpol benötigt 220usec pro Sample, die folgende Berechnung der Zeigerlänge 350usec. Wenn der Allpol z.B. in einem 250usec-Timerinterrupt berechnet wird \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.11" \end_inset ) \series default , wird man dort auch die abschließende Berechnung der Ausgabewerte vornehmen. Die Unterbrechung von 1... 2 Samples ist bezogen auf die Blocklänge N=205 unerheblich. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild11.eps \end_inset \begin_inset Caption ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Section* Guard-Bits \end_layout \begin_layout Standard Für Simulation und Debugging des Algorithmus ist oft eine portable Variante in Hochsprache wünschenswert. Es ist in Assembler einfach, an das 32-Bit-Datenwort 8 Bit anzuhängen, um einen überlaufsicheren 40-Bit-Akkumulator zu erhalten. In Hochsprache teilt man die Summierung in eine 32-Bit-Addition, bei der das oberste Bit gelöscht ist \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.12" \end_inset ) \series default , sodass man Carry detektieren kann. Gefolgt von zwei Additionen für die oberen 16 Bit und das Carrybit. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild12.eps scale 75 \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem key "key-1" \end_inset Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“ Amer. Math. Monthly Jan. 1958 \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "2" key "key-2" \end_inset Gerdsen, Kröger „Digitale Signalverarbeitung in der Nachrichtentechnik“ Springer 1993 \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "3" key "key-3" \end_inset Mock „Add DTMF generation and decoding to DSP-uP designs“ EDN March 1985 \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "4" key "key-4" \end_inset Chen "Modified Goertzel Algorithm in DTMF Detection Using the TMS320C80" Application Note SPRA066 1996 \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "5" key "key-5" \end_inset Gay, Hartung, Smith „Algorithms for Multi-Channel DTMF Detection for the WE DSP32 Family“ ICASSP 89 \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "10" key "key-10" \end_inset emb (12) DTMF-Decoder \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "11" key "key-11" \end_inset emb (13) 2pol Allpol Filter \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "12" key "key-12" \end_inset emb (14) Biquads \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "14" key "key-14" \end_inset ................................................................................ end{multicols} \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash begin{multicols}{2} \end_layout \end_inset \end_layout \begin_layout Section* Listing \end_layout \begin_layout Standard \size footnotesize \begin_inset ERT status open ................................................................................ \begin_layout Plain Layout \backslash listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt} \end_layout \end_inset \end_layout \begin_layout Standard \align block \begin_inset ERT status open \begin_layout Plain Layout \backslash end{multicols} \end_layout \end_inset \end_layout \end_body \end_document |
Changes to 2014-03/goertzel.lyx~.
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\begin_layout Author Rafael Deliano \end_layout \begin_layout Abstract \emph on Eine Variante der diskreten Fourier Transformation ( DFT ) \begin_inset CommandInset citation LatexCommand cite key "key-1" \end_inset die besonders für DTMF-Empfänger verwendet wurde. \end_layout \begin_layout Abstract \emph on Der Einsatz war ursprünglich auf DSPs beschränkt die dann aber 24 - 32 PCM-Kanäl e gleichzeitig verarbeiten konnten. Für nur einen Kanal sind heute auch 16 Bit Controller mit Multiplizierer schnell genug. Es ist damit zwar kein Verfahren das sich speziell für 8 Bit CPUs eignet. Aber wenn man nur eine Frequenz erkennen will zumindest nicht viel aufwendiger als ein Allpol-Filter \begin_inset CommandInset citation LatexCommand cite key "key-12" \end_inset . \end_layout \begin_layout Standard ................................................................................ \end_layout \begin_layout Section* Detektor \end_layout \begin_layout Standard Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT wie für DTMF-Empfänger in \begin_inset CommandInset citation LatexCommand cite key "key-10" \end_inset dargestellt \begin_inset CommandInset ref LatexCommand ref reference "Abb.1" \end_inset . Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts dargestellt e vereinfachte Variante ohne Berechnung der Wurzel in vielen Anwendungen ausreichend. Wegen der Integrate & Dump Stufe arbeitet diese Implementierung nicht kontinuie rlich, sondern liefert nur am Ende eines Datenblocks einen Ausgangswert. Diese Eigenschaft hat auch der Goertzel-Algorithmus \begin_inset CommandInset ref LatexCommand ref reference "Abb.2" \end_inset , selbst wenn seine Ähnlichkeit mit einem IIR-Filter \begin_inset CommandInset citation LatexCommand cite key "key-14" \end_inset ersteinmal anderes vermuten läßt. \end_layout \begin_layout Section* Goertzel \end_layout \begin_layout Standard Wegen der komplexen Rechnung müßte man für ihn eigentlich zwei Filter verwenden \begin_inset CommandInset ref LatexCommand ref reference "Abb.3" \end_inset . Die linke Hälfte des Filters ist aber identisch, also findet sich in der Literatur meist eine kompaktere Darstellung \begin_inset CommandInset ref LatexCommand ref reference "Abb.4" \end_inset . Man beachte dann aber, daß die rechte Hälfte komplexes Datenformat hat. Dieser Teil wird aber nur einmal, am Ende des Datenblocks berechnet. \end_layout \begin_layout Section* Allpol \end_layout \begin_layout Standard Die linke Hälfte arbeitet wie bei einem Filter gewohnt kontinuierlich über jedes Sample. Bei einem DTMF-Empfänger der als A/D-Wandler ein PCM-Codec verwendet ist die Samplerate fest fs=8kHz. Die Frequenzen der 8 DTMF-Töne sind auch vorgegeben. Variabel ist dann also nur N die Zahl der Samples im Datenblock. Große Werte wären wegen der Schmalbandig-keit besser. Für k sind aber ganzzahlige Werte nötig. Mit geringer Frequenzabweichung für alle 8 Frequenzen. Das schränkt die Möglichkeiten ein. Der übliche Wert für fs=8kHz ist dann N=205 ( Tabelle 1 ) \begin_inset CommandInset citation LatexCommand cite key "key-4" \end_inset , obwohl auch N=105 schon vorgeschlagen wurde ( Tabelle 2 ). Man kann auch auf fs=4kHz reduzieren, dann empfiehlt sich N=106 \begin_inset CommandInset citation LatexCommand cite key "key-5" \end_inset . \end_layout \begin_layout Standard Die Koeffizienten sind so gewählt, daß dieses Filter auf der Stabilitätsgrenze liegt und damit extrem schmalbandig ist. Da der Faktor „a1“ als Festkommazahl nicht exakt darstellbar ist könnte das Signal entweder Richtung Übersteuerung driften oder abklingen. Aber die Quantisierung der Daten die bei digitalen Filtern meist für unschöne Grenzzyklen sorgt wirkt sich hier meist stabilisierend auf die Schwingung aus. Solange das Signal nicht innerhalb der N=205 Samples wegdriftet ist die Funktion nicht beeinträchtigt. \end_layout \begin_layout Section* Squared Magnitude \end_layout \begin_layout Standard Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung der Zeigerlänge kombiniert werden erhebliche Vereinfachungen möglich ( Bild 5 ). Nach Ausgabe des Ergebnisses müssen die beiden Speicher des Filters auf Null gesetzt werden und der nächste Datenblock kann beginnen. \end_layout \begin_layout Section* Nachverarbeitung \end_layout \begin_layout Standard Da der Datenblock mit einem Rechteckfenster gewichtet wurde ist der Frequenzgang wellig und für Oberwellen etwas durchlässig ( Bild 6 ). Für viele Anwendungen genügt deren Bedämpfung jedoch. Bei DTMF-Signalen z.B. sind kaum Oberwellen vorhanden. \end_layout \begin_layout Standard Wenn das Eingangssignal z.B. durch ALC einen konstanten Pegel hat genügt der Vergleich mit einer festen Schaltschwelle um eine Frequenz zu erkennen ( Bild 7a ). Andernfalls kann man mit breit- bandigen Energiedetektor den Eingangspegel bestimmen und daraus die Schaltschwelle ableiten ( Bild 7b ). \end_layout \begin_layout Standard Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel verwendet \begin_inset CommandInset citation LatexCommand cite key "key-3" \end_inset ( Bild 7c ). Da Sprache im Gegensatz zu DTMF reichlich Oberwellen hat erleichtert der zusätzliche Detektor die Unterscheidung beider Signale. \end_layout \begin_layout Section* Und nun zur Implementierung \end_layout \begin_layout Standard Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24 verwendet. fs/ft ist dann ca. 8,5 und die Konstante a1 hat den Wert 1,4712. \end_layout \begin_layout Standard Wenn man diesen Allpol mit Puls anregt wird er dauerhaft auf der Sinusfrequenz, d.h mit ca. 8,5 Samples Periode, weiterschwingen. \end_layout \begin_layout Section* Sinusgenerator \end_layout \begin_layout Standard Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem Bereich ( Bild 10 ). Gerade Längen mit 7 ... 20 Samples enthalten eine einzelne Sinuskurve. Eine Tabelle mit 17 Samples die zwei Sinusperioden enthält kann krumme Werte wie 8,5 darstellen. Die Tabellen werden hier mit +/-7FFF vollausgesteuerte verwendet. Die 16 Bit Dynamik im Allpol-Filter reicht dann nur recht knapp aus. Es empfiehlt sich wie in \begin_inset CommandInset citation LatexCommand cite key "key-12" \end_inset ein 32 Bit Akkumulator der auf 40 Bit erweitert ist und damit Überlauf erkennt und Sättigung durchführen kann. \end_layout \begin_layout Standard Nach Tests wurde der Vorteiler am Eingang ( Bild 8 ) auf 2^7 ausgelegt. Dämpft man noch mehr wird intern ungenügend ausgesteuert. Während mit 2^6 die Overflows bereits Nebenmaxima verschlechtern ( Bild 10 ). Zwar wird der Überlauf durch die Sättigungslogik entschärft, aber eine leichte Verschlechterung des Meßwerts tritt trotzdem ein, sodaß er nicht unbegrenzt tolerierbar ist. Man sollte also in realen Anwendungen anhand anliegendem Pegel und Frequenzgemi sch untersuchen wie sich intern die Aussteuerung des Allpols verhält. Die abschliessende Berechnung der Zeigerlängen ( Bild 9 ) ist zwar etwas umfänglich, aber technisch unproblematisch. \end_layout \begin_layout Section* Timing \end_layout \begin_layout Standard Das Programm belegt in Assembler auf einem 2,45 MHz MC68HC908 ca. 400 Bytes FLASH. Der Allpol benötigt 220usec pro Sample, die folgende Berechnung der Zeigerlänge 350usec. Wenn der Allpol z.B. in einem 250usec Timerinterrupt berechnet wird ( Bild 11 ), wird man dort auch die abschliessende Berechnung der Ausgabewerte vornehmen. Die Unterbrechung von 1... 2 Samples ist bezogen auf die Blocklänge N=205 unerheblich. \end_layout \begin_layout Section* Guard-Bits \end_layout \begin_layout Standard Für Simulation und Debugging des Algorithmus ist oft ein portable Variante in Hochsprache wünschenswert. Es ist in Assembler einfach an das 32 bit Datenwort 8 Bit anzuhängen um einen überlaufsicheren 40 Bit Akkumulator zu erhalten. In Hochsprache teilt man die Summierung in eine 32 Bit Addition bei der das oberste Bit gelöscht ist ( Bild 12 ), sodaß man Carry detektieren kann. Gefolgt von zwei Additionen für die oberen 16 Bit und das Carrybit. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \begin_inset Graphics filename Bild1.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \begin_inset Graphics filename Bild2.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \begin_inset Graphics filename Bild3.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \end_layout \begin_layout Plain Layout \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \begin_inset Graphics filename Bild5.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \end_layout \begin_layout Plain Layout \begin_inset Graphics filename Bild6.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \begin_inset Graphics filename Bild7.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \end_layout \begin_layout Plain Layout \begin_inset Graphics filename Bild8.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \end_layout \begin_layout Plain Layout \begin_inset Graphics filename Bild9.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout (muss noch komponiert werden aus der 11wer Gruppe) \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "Abb.10" ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \end_layout \begin_layout Plain Layout \begin_inset Graphics filename Bild11.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \end_layout \begin_layout Plain Layout \begin_inset Graphics filename Bild12.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem key "key-1" \end_inset Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“ Amer. Math. Monthly Jan. 1958 \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "2" key "key-2" \end_inset Gerdsen, Kröger „Digitale Signalverarbeitung in der Nachrichtentechnik“ Springer 1993 \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "3" key "key-3" \end_inset Mock „Add DTMF generation and decoding to DSP-uP designs“ EDN March 1985 \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "4" key "key-4" \end_inset Chen "Modified Goertzel Algorithm in DTMF Detection Using the TMS320C80" Application Note SPRA066 1996 \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "5" key "key-5" \end_inset Gay, Hartung, Smith „Algorithms for Multi-Channel DTMF Detection for the WE DSP32 Family“ ICASSP 89 \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "10" key "key-10" \end_inset emb (12) DTMF-Decoder \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "11" key "key-11" \end_inset emb (13) 2pol Allpol Filter \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \align left \begin_inset CommandInset bibitem LatexCommand bibitem label "12" key "key-12" \end_inset emb (14) Biquads \end_layout \begin_layout Bibliography \labelwidthstring Literaturverzeichnis \begin_inset CommandInset bibitem LatexCommand bibitem label "14" key "key-14" \end_inset ................................................................................ end{multicols} \end_layout \end_inset \end_layout \begin_layout Section* Listings \end_layout \begin_layout Standard \size footnotesize \begin_inset ERT status open ................................................................................ \begin_layout Plain Layout \backslash listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt} \end_layout \end_inset \end_layout \end_body \end_document |
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\begin_layout Author Rafael Deliano \end_layout \begin_layout Abstract \emph on Eine Variante der diskreten Fourier-Transformation (DFT) \begin_inset CommandInset citation LatexCommand cite key "key-1" \end_inset , die besonders für DTMF-Empfänger verwendet wurde. \end_layout \begin_layout Abstract \emph on Der Einsatz war ursprünglich auf DSPs beschränkt, die dann aber 24 - 32 PCM-Kanäle gleichzeitig verarbeiten konnten. Für nur einen Kanal sind heute auch 16-Bit-Controller mit Multiplizierer schnell genug. Es ist damit zwar kein Verfahren, das sich speziell für 8-Bit-CPUs eignet, erreicht. Aber wenn man nur eine Frequenz erkennen will, ist das zumindest nicht viel aufwändiger als ein Allpol-Filter \begin_inset CommandInset citation LatexCommand cite key "key-11" \end_inset . \end_layout \begin_layout Standard ................................................................................ \end_layout \begin_layout Section* Detektor \end_layout \begin_layout Standard Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle DFT, wie für DTMF-Empfänger in \begin_inset CommandInset citation LatexCommand cite key "key-10" \end_inset dargestellt \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.1" \end_inset ) \series default . Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts dargestellt e vereinfachte Variante ohne Berechnung der Wurzel in vielen Anwendungen ausreichend. Wegen der Integrate-&-Dump-Stufe arbeitet diese Implementierung nicht kontinuie rlich, sondern liefert nur am Ende eines Datenblocks einen Ausgangswert. Diese Eigenschaft hat auch der Goertzel-Algorithmus \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.2" \end_inset ) \series default , selbst wenn seine Ähnlichkeit mit einem IIR-Filter \begin_inset CommandInset citation LatexCommand cite key "key-12" \end_inset ersteinmal anderes vermuten lässt. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild1.eps scale 75 \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild2.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Section* Goertzel \end_layout \begin_layout Standard Wegen der komplexen Rechnung müsste man für ihn eigentlich zwei Filter verwenden \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.3" \end_inset ) \series default . Die linke Hälfte des Filters ist aber identisch, also findet sich in der Literatur meist eine kompaktere Darstellung \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.4" \end_inset ) \series default . Man beachte dann aber, dass die rechte Hälfte komplexes Datenformat hat. Dieser Teil wird aber nur einmal, am Ende des Datenblocks, berechnet. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild3.eps scale 75 \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild4.eps \end_inset \end_layout \begin_layout Plain Layout \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Section* Allpol \end_layout \begin_layout Standard Die linke Hälfte arbeitet, wie bei einem Filter gewohnt, kontinuierlich über jedes Sample. Bei einem DTMF-Empfänger, der als A/D-Wandler ein PCM-Codec verwendet, ist die Samplerate fest fs=8kHz. Die Frequenzen der 8 DTMF-Töne sind auch vorgegeben. Variabel ist dann also nur N, die Zahl der Samples im Datenblock. Große Werte wären wegen der Schmalbandigkeit besser. Für k sind aber ganzzahlige Werte nötig. Mit geringer Frequenzabweichung für alle 8 Frequenzen. Das schränkt die Möglichkeiten ein. Der übliche Wert für fs=8kHz ist dann N=205 \series bold (Tab. \begin_inset CommandInset ref LatexCommand ref reference "tab-1" \end_inset ) \series default \begin_inset CommandInset citation LatexCommand cite key "key-4" \end_inset , obwohl auch N=105 schon vorgeschlagen wurde \series bold (Tab. \begin_inset CommandInset ref LatexCommand ref reference "tab-2" \end_inset ) \series default . Man kann auch auf fs=4kHz reduzieren, dann empfiehlt sich N=106 \begin_inset CommandInset citation LatexCommand cite key "key-5" \end_inset . \end_layout \begin_layout Standard Die Koeffizienten sind so gewählt, dass dieses Filter auf der Stabilitätsgrenze liegt und damit extrem schmalbandig ist. Da der Faktor „a1“ als Festkommazahl nicht exakt darstellbar ist, könnte das Signal entweder Richtung Übersteuerung driften oder abklingen. Aber die Quantisierung der Daten, die bei digitalen Filtern meist für unschöne Grenzzyklen sorgt, wirkt sich hier meist stabilisierend auf die Schwingung aus. Solange das Signal nicht innerhalb der N=205 Samples wegdriftet, ist die Funktion nicht beeinträchtigt. \end_layout \begin_layout Standard \begin_inset Float table wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "tab-1" \end_inset Parameter DTMF-Decoder [4] \end_layout \end_inset N=205 fs=8kHz \end_layout \begin_layout Plain Layout \align center \begin_inset Tabular <lyxtabular version="3" rows="9" columns="3"> <features tabularvalignment="middle"> <column alignment="center" valignment="top" width="0"> <column alignment="center" valignment="top" width="0"> <column alignment="center" valignment="top" width="0"> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout ft= \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout k= \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout a1= \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 697Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 18 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 27906 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 770Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 20 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 26802 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 852Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 22 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 25597 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 941Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 24 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 24295 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1209Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 31 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 19057 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1336Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 34 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 16529 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1477Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 38 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 12945 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1633Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 42 \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 9166 \end_layout \end_inset </cell> </row> </lyxtabular> \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float table wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "tab-2" \end_inset Parameter DTMF-Decoder [5] \end_layout \end_inset N=105 fs=8kHz \end_layout \begin_layout Plain Layout \align center \begin_inset Tabular <lyxtabular version="3" rows="9" columns="2"> <features tabularvalignment="middle"> <column alignment="center" valignment="top" width="0"> <column alignment="center" valignment="top" width="0"> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout ft= \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout k= \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 697Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 9 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 770Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 10 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 852Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 11 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 941Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 12 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1209Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 16 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1336Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 18 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1477Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 19 \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 1633Hz \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 21 \end_layout \end_inset </cell> </row> </lyxtabular> \end_inset \end_layout \end_inset \end_layout \begin_layout Section* Squared Magnitude \end_layout \begin_layout Standard Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung der Zeigerlänge kombiniert, werden erhebliche Vereinfachungen möglich \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.5" \end_inset ) \series default . Nach Ausgabe des Ergebnisses müssen die beiden Speicher des Filters auf null gesetzt werden und der nächste Datenblock kann beginnen. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild5.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Section* Nachverarbeitung \end_layout \begin_layout Standard Da der Datenblock mit einem Rechteckfenster gewichtet wurde, ist der Frequenzgan g wellig und für Oberwellen etwas durchlässig \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.6" \end_inset ) \series default . Für viele Anwendungen genügt deren Bedämpfung jedoch. Bei DTMF-Signalen z.B. sind kaum Oberwellen vorhanden. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild6.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Wenn das Eingangssignal z.B. durch ALC einen konstanten Pegel hat, genügt der Vergleich mit einer festen Schaltschwelle, um eine Frequenz zu erkennen \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.7" \end_inset a) \series default . Andernfalls kann man mit breitbandigen Energiedetektor den Eingangspegel bestimmen und daraus die Schaltschwelle ableiten \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.7" \end_inset b) \series default . \end_layout \begin_layout Standard Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel verwendet \begin_inset CommandInset citation LatexCommand cite key "key-3" \end_inset \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.7" \end_inset c) \series default . Da Sprache im Gegensatz zu DTMF reichlich Oberwellen hat, erleichtert der zusätzliche Detektor die Unterscheidung beider Signale. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild7.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \begin_layout Section* Und nun zur Implementierung \end_layout \begin_layout Standard Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24 verwendet. fs/ft ist dann ca. 8,5 und die Konstante a1 hat den Wert 1,4712. \end_layout \begin_layout Standard Wenn man diesen Allpol mit Puls anregt, wird er dauerhaft auf der Sinusfrequenz, d.h mit ca. 8,5 Samples Periode, weiterschwingen. \end_layout \begin_layout Section* Sinusgenerator \end_layout \begin_layout Standard Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem Bereich \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.10" \end_inset ) \series default . Gerade Längen mit 7 ... 20 Samples enthalten eine einzelne Sinuskurve. Eine Tabelle mit 17 Samples, die zwei Sinusperioden enthält, kann krumme Werte, wie 8,5 , darstellen. Die Tabellen werden hier mit +/-7FFF vollausgesteuert verwendet. Die 16-Bit-Dynamik im Allpol-Filter reicht dann nur recht knapp aus. Es empfiehlt sich, wie in \begin_inset CommandInset citation LatexCommand cite key "key-12" \end_inset , ein 32-Bit-Akkumulator, der auf 40 Bit erweitert ist und damit Überlauf erkennt und Sättigung durchführen kann. \end_layout \begin_layout Standard Nach Tests wurde der Vorteiler am Eingang \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.8" \end_inset ) \series default auf 2^7 ausgelegt. Dämpft man noch mehr, wird intern ungenügend ausgesteuert. Während mit 2^6 die Overflows bereits Nebenmaxima verschlechtern \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.10" \end_inset ) \series default . Zwar wird der Überlauf durch die Sättigungslogik entschärft, aber eine leichte Verschlechterung des Messwerts tritt trotzdem ein, sodass er nicht unbegrenzt tolerierbar ist. Man sollte also in realen Anwendungen anhand anliegendem Pegel und Frequenzgemi sch untersuchen, wie sich intern die Aussteuerung des Allpols verhält. Die abschließende Berechnung der Zeigerlängen \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.9" \end_inset ) \series default ist zwar etwas umfänglich, aber technisch unproblematisch. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild8.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status open \begin_layout Plain Layout \begin_inset Graphics filename deliano-goertzel/Bild9.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild10.eps scale 75 \end_inset \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "Abb.10" ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Section* Timing \end_layout \begin_layout Standard Das Programm belegt in Assembler auf einem 2,45-MHz-MC68HC908 ca. 400 Bytes FLASH. Der Allpol benötigt 220usec pro Sample, die folgende Berechnung der Zeigerlänge 350usec. Wenn der Allpol z.B. in einem 250usec-Timerinterrupt berechnet wird \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.11" \end_inset ) \series default , wird man dort auch die abschließende Berechnung der Ausgabewerte vornehmen. Die Unterbrechung von 1... 2 Samples ist bezogen auf die Blocklänge N=205 unerheblich. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild11.eps \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Section* Guard-Bits \end_layout \begin_layout Standard Für Simulation und Debugging des Algorithmus ist oft eine portable Variante in Hochsprache wünschenswert. Es ist in Assembler einfach, an das 32-Bit-Datenwort 8 Bit anzuhängen, um einen überlaufsicheren 40-Bit-Akkumulator zu erhalten. In Hochsprache teilt man die Summierung in eine 32-Bit-Addition, bei der das oberste Bit gelöscht ist \series bold (Abb. \begin_inset CommandInset ref LatexCommand ref reference "Abb.12" \end_inset ) \series default , sodass man Carry detektieren kann. Gefolgt von zwei Additionen für die oberen 16 Bit und das Carrybit. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename deliano-goertzel/Bild12.eps scale 75 \end_inset \begin_inset Caption \begin_layout Plain Layout ................................................................................ \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem key "key-1" \end_inset Goertzel „An Algorithm for the Evaluation of Finite Trigonometric Series“ Amer. Math. Monthly Jan. 1958 \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "2" key "key-2" \end_inset Gerdsen, Kröger „Digitale Signalverarbeitung in der Nachrichtentechnik“ Springer 1993 \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "3" key "key-3" \end_inset Mock „Add DTMF generation and decoding to DSP-uP designs“ EDN March 1985 \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "4" key "key-4" \end_inset Chen "Modified Goertzel Algorithm in DTMF Detection Using the TMS320C80" Application Note SPRA066 1996 \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "5" key "key-5" \end_inset Gay, Hartung, Smith „Algorithms for Multi-Channel DTMF Detection for the WE DSP32 Family“ ICASSP 89 \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "10" key "key-10" \end_inset emb (12) DTMF-Decoder \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "11" key "key-11" \end_inset emb (13) 2pol Allpol Filter \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "12" key "key-12" \end_inset emb (14) Biquads \end_layout \begin_layout Bibliography \align block \begin_inset CommandInset bibitem LatexCommand bibitem label "14" key "key-14" \end_inset ................................................................................ end{multicols} \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash begin{multicols}{2} \end_layout \end_inset \end_layout \begin_layout Section* Listing \end_layout \begin_layout Standard \size footnotesize \begin_inset ERT status open ................................................................................ \begin_layout Plain Layout \backslash listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt} \end_layout \end_inset \end_layout \begin_layout Standard \align block \begin_inset ERT status open \begin_layout Plain Layout \backslash end{multicols} \end_layout \end_inset \end_layout \end_body \end_document |
Changes to 2014-03/goertzel.tex.
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%% LyX 2.0.6 created this file. For more info, see http://www.lyx.org/.
%% Do not edit unless you really know what you are doing.
\documentclass[ngerman]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8x]{inputenc}
\usepackage{graphicx}
\usepackage{babel}
\begin{document}
\title{Goertzel-Algorithmus}
\author{Rafael Deliano}
\maketitle
\begin{abstract}
\emph{Eine Variante der diskreten Fourier Transformation ( DFT ) \cite{key-1}
die besonders für DTMF-Empfänger verwendet wurde.}
\emph{Der Einsatz war ursprünglich auf DSPs beschränkt die dann aber
24 - 32 PCM-Kanäle gleichzeitig verarbeiten konnten. Für nur einen
Kanal sind heute auch 16 Bit Controller mit Multiplizierer schnell
genug. Es ist damit zwar kein Verfahren das sich speziell für 8 Bit
CPUs eignet. Aber wenn man nur eine Frequenz erkennen will zumindest
nicht viel aufwendiger als ein Allpol-Filter \cite{key-12}.}
\end{abstract}
\begin{multicols}{2}
\section*{Detektor}
Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle
DFT wie für DTMF-Empfänger in \cite{key-10} dargestellt \ref{Abb.1}.
Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts
dargestellte vereinfachte Variante ohne Berechnung der Wurzel in vielen
Anwendungen ausreichend. Wegen der Integrate \& Dump Stufe arbeitet
diese Implementierung nicht kontinuierlich, sondern liefert nur am
Ende eines Datenblocks einen Ausgangswert. Diese Eigenschaft hat auch
der Goertzel-Algorithmus \ref{Abb.2}, selbst wenn seine Ähnlichkeit
mit einem IIR-Filter \cite{key-14} ersteinmal anderes vermuten läßt.
\section*{Goertzel}
Wegen der komplexen Rechnung müßte man für ihn eigentlich zwei Filter
verwenden \ref{Abb.3}. Die linke Hälfte des Filters ist aber identisch,
also findet sich in der Literatur meist eine kompaktere Darstellung
\ref{Abb.4}. Man beachte dann aber, daß die rechte Hälfte komplexes
Datenformat hat. Dieser Teil wird aber nur einmal, am Ende des Datenblocks
berechnet.
\section*{Allpol}
Die linke Hälfte arbeitet wie bei einem Filter gewohnt kontinuierlich
über jedes Sample. Bei einem DTMF-Empfänger der als A/D-Wandler ein
PCM-Codec verwendet ist die Samplerate fest fs=8kHz. Die Frequenzen
der 8 DTMF-Töne sind auch vorgegeben. Variabel ist dann also nur N
die Zahl der Samples im Datenblock. Große Werte wären wegen der Schmalbandig-keit
besser. Für k sind aber ganzzahlige Werte nötig. Mit geringer Frequenzabweichung
für alle 8 Frequenzen. Das schränkt die Möglichkeiten ein. Der übliche
Wert für fs=8kHz ist dann N=205 ( Tabelle 1 ) \cite{key-4}, obwohl
auch N=105 schon vorgeschlagen wurde ( Tabelle 2 ). Man kann auch
auf fs=4kHz reduzieren, dann empfiehlt sich N=106 \cite{key-5}.
Die Koeffizienten sind so gewählt, daß dieses Filter auf der Stabilitätsgrenze
liegt und damit extrem schmalbandig ist. Da der Faktor „a1“ als Festkommazahl
nicht exakt darstellbar ist könnte das Signal entweder Richtung Übersteuerung
driften oder abklingen. Aber die Quantisierung der Daten die bei digitalen
Filtern meist für unschöne Grenzzyklen sorgt wirkt sich hier meist
stabilisierend auf die Schwingung aus. Solange das Signal nicht innerhalb
der N=205 Samples wegdriftet ist die Funktion nicht beeinträchtigt.
\section*{Squared Magnitude }
Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung
der Zeigerlänge kombiniert werden erhebliche Vereinfachungen möglich
( Bild 5 ). Nach Ausgabe des Ergebnisses müssen die beiden Speicher
des Filters auf Null gesetzt werden und der nächste Datenblock kann
beginnen.
\section*{Nachverarbeitung}
Da der Datenblock mit einem Rechteckfenster gewichtet wurde ist der
Frequenzgang wellig und für Oberwellen etwas durchlässig ( Bild 6
). Für viele Anwendungen genügt deren Bedämpfung jedoch. Bei DTMF-Signalen
z.B. sind kaum Oberwellen vorhanden.
Wenn das Eingangssignal z.B. durch ALC einen konstanten Pegel hat
genügt der Vergleich mit einer festen Schaltschwelle um eine Frequenz
zu erkennen ( Bild 7a ). Andernfalls kann man mit breit- bandigen
Energiedetektor den Eingangspegel bestimmen und daraus die Schaltschwelle
ableiten ( Bild 7b ).
Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel
verwendet \cite{key-3} ( Bild 7c ). Da Sprache im Gegensatz zu DTMF
reichlich Oberwellen hat erleichtert der zusätzliche Detektor die
Unterscheidung beider Signale.
\section*{Und nun zur Implementierung}
Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24
verwendet. fs/ft ist dann ca. 8,5 und die Konstante a1 hat den Wert
1,4712.
Wenn man diesen Allpol mit Puls anregt wird er dauerhaft auf der Sinusfrequenz,
d.h mit ca. 8,5 Samples Periode, weiterschwingen.
\section*{Sinusgenerator}
Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem
Bereich ( Bild 10 ). Gerade Längen mit 7 ... 20 Samples enthalten
eine einzelne Sinuskurve. Eine Tabelle mit 17 Samples die zwei Sinusperioden
enthält kann krumme Werte wie 8,5 darstellen. Die Tabellen werden
hier mit +/-7FFF vollausgesteuerte verwendet. Die 16 Bit Dynamik im
Allpol-Filter reicht dann nur recht knapp aus. Es empfiehlt sich wie
in \cite{key-12} ein 32 Bit Akkumulator der auf 40 Bit erweitert
ist und damit Überlauf erkennt und Sättigung durchführen kann.
Nach Tests wurde der Vorteiler am Eingang ( Bild 8 ) auf 2\textasciicircum{}7
ausgelegt. Dämpft man noch mehr wird intern ungenügend ausgesteuert.
Während mit 2\textasciicircum{}6 die Overflows bereits Nebenmaxima
verschlechtern ( Bild 10 ). Zwar wird der Überlauf durch die Sättigungslogik
entschärft, aber eine leichte Verschlechterung des Meßwerts tritt
trotzdem ein, sodaß er nicht unbegrenzt tolerierbar ist. Man sollte
also in realen Anwendungen anhand anliegendem Pegel und Frequenzgemisch
untersuchen wie sich intern die Aussteuerung des Allpols verhält.
Die abschliessende Berechnung der Zeigerlängen ( Bild 9 ) ist zwar
etwas umfänglich, aber technisch unproblematisch.
\section*{Timing}
Das Programm belegt in Assembler auf einem 2,45 MHz MC68HC908 ca.
400 Bytes FLASH. Der Allpol benötigt 220usec pro Sample, die folgende
Berechnung der Zeigerlänge 350usec. Wenn der Allpol z.B. in einem
250usec Timerinterrupt berechnet wird ( Bild 11 ), wird man dort auch
die abschliessende Berechnung der Ausgabewerte vornehmen. Die Unterbrechung
von 1... 2 Samples ist bezogen auf die Blocklänge N=205 unerheblich.
\section*{Guard-Bits}
Für Simulation und Debugging des Algorithmus ist oft ein portable
Variante in Hochsprache wünschenswert. Es ist in Assembler einfach
an das 32 bit Datenwort 8 Bit anzuhängen um einen überlaufsicheren
40 Bit Akkumulator zu erhalten. In Hochsprache teilt man die Summierung
in eine 32 Bit Addition bei der das oberste Bit gelöscht ist ( Bild
12 ), sodaß man Carry detektieren kann. Gefolgt von zwei Additionen
für die oberen 16 Bit und das Carrybit.
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild1}\caption{\label{Abb.1}DFT Tondetektor, optional reduziert auf squared magnitude }
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild2}\caption{\label{Abb.2}Eingangsstufe auf Goertzel geändert}
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild3}\caption{\label{Abb.3}Goertzel unoptimiert}
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild4}
\caption{\label{Abb.4}Kompaktere Darstellung, beide Ablaufphasen}
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild5}\caption{\label{Abb.5}Berechnung squared magnitude}
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild6}\caption{\label{Abb.6}Rechteckfenster}
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild7}\caption{\label{Abb.7}Schalter}
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild8}\caption{\label{Abb.8}Skalierung Allpol}
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild9}\caption{\label{Abb.9}Skalierung squared magnitude}
\end{figure}
\begin{figure}
(muss noch komponiert werden aus der 11wer Gruppe)\caption{\label{Abb.10}Frequenzgang \& Overflows}
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild11}\caption{\label{Abb.11}Timing}
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild12}\caption{\label{Abb.12}Akku mit Guard-Bits in HLL}
\end{figure}
\begin{thebibliography}{Literaturverzeichnis}
\begin{flushleft}
\bibitem{key-1} Goertzel „An Algorithm for the Evaluation of Finite
Trigonometric Series“ Amer. Math. Monthly Jan. 1958
\par\end{flushleft}
\begin{flushleft}
\bibitem[2]{key-2}Gerdsen, Kröger „Digitale Signalverarbeitung in
der Nachrichtentechnik“ Springer 1993
\par\end{flushleft}
\begin{flushleft}
\bibitem[3]{key-3}Mock „Add DTMF generation and decoding to DSP-uP
designs“ EDN March 1985
\par\end{flushleft}
\begin{flushleft}
\bibitem[4]{key-4}Chen \textquotedbl{}Modified Goertzel Algorithm
in DTMF Detection Using the TMS320C80\textquotedbl{} Application Note
SPRA066 1996
\par\end{flushleft}
\begin{flushleft}
\bibitem[5]{key-5}Gay, Hartung, Smith „Algorithms for Multi-Channel
DTMF Detection for the WE DSP32 Family“ ICASSP 89
\par\end{flushleft}
\begin{flushleft}
\bibitem[10]{key-10}emb (12) DTMF-Decoder
\par\end{flushleft}
\begin{flushleft}
\bibitem[11]{key-11}emb (13) 2pol Allpol Filter
\par\end{flushleft}
\begin{flushleft}
\bibitem[12]{key-12}emb (14) Biquads
\par\end{flushleft}
\bibitem[14]{key-14}(ist im text erwähnt, nicht angegeben --> nachfragen)
\end{thebibliography}
\end{multicols}
\section*{Listings}
{\footnotesize{\listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt}}}
\end{document}
|
> > > > > > > > > | | | | | | | | | | > > > > > > > > > > > | | | > | | < > > > > > > > > > > > > > > | | | | | | | | | | | | | | > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > | | | | > > > > > | | | > > > > > | | < > | < > < < > > | > > > > > | | | | | | | | | > | | | > | | | | | < > | < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < | < < < < | < < < > | > > > > > > > > > < > | > > > > > > > > > | < | < < < < < < < < < < < < < < < > > | | > > |
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%% LyX 2.0.6 created this file. For more info, see http://www.lyx.org/.
%% Do not edit unless you really know what you are doing.
\documentclass[ngerman]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8x]{inputenc}
\usepackage{graphicx}
\makeatletter
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands.
%%% Because html converters don't know tabularnewline
%\providecommand{\tabularnewline}{\\}
\makeatother
\usepackage{babel}
\begin{document}
\title{Goertzel-Algorithmus}
\author{Rafael Deliano}
\maketitle
\begin{abstract}
\emph{Eine Variante der diskreten Fourier-Transformation (DFT) \cite{key-1},
die besonders für DTMF-Empfänger verwendet wurde.}
\emph{Der Einsatz war ursprünglich auf DSPs beschränkt, die dann aber
24 - 32 PCM-Kanäle gleichzeitig verarbeiten konnten. Für nur einen
Kanal sind heute auch 16-Bit-Controller mit Multiplizierer schnell
genug. Es ist damit zwar kein Verfahren, das sich speziell für 8-Bit-CPUs
eignet, erreicht. Aber wenn man nur eine Frequenz erkennen will, ist
das zumindest nicht viel aufwändiger als ein Allpol-Filter \cite{key-11}.}
\end{abstract}
\begin{multicols}{2}
\section*{Detektor}
Ausgangspunkt sei der Detektor für eine Frequenz durch konventionelle
DFT, wie für DTMF-Empfänger in \cite{key-10} dargestellt \textbf{(Abb.\ref{Abb.1})}.
Neben der korrekten Berechnung der Zeigerlänge wäre auch die rechts
dargestellte vereinfachte Variante ohne Berechnung der Wurzel in vielen
Anwendungen ausreichend. Wegen der Integrate-\&-Dump-Stufe arbeitet
diese Implementierung nicht kontinuierlich, sondern liefert nur am
Ende eines Datenblocks einen Ausgangswert. Diese Eigenschaft hat auch
der Goertzel-Algorithmus \textbf{(Abb.\ref{Abb.2})}, selbst wenn
seine Ähnlichkeit mit einem IIR-Filter \cite{key-12} ersteinmal anderes
vermuten lässt.
\begin{figure}
\centering{}\includegraphics[scale=0.75]{2014-03/deliano-goertzel/Bild1}\caption{\label{Abb.1}DFT Tondetektor, optional reduziert auf squared magnitude }
\end{figure}
\begin{figure}
\centering{}\includegraphics{2014-03/deliano-goertzel/Bild2}\caption{\label{Abb.2}Eingangsstufe auf Goertzel geändert}
\end{figure}
\section*{Goertzel}
Wegen der komplexen Rechnung müsste man für ihn eigentlich zwei Filter
verwenden \textbf{(Abb.\ref{Abb.3})} . Die linke Hälfte des Filters
ist aber identisch, also findet sich in der Literatur meist eine kompaktere
Darstellung \textbf{(Abb.\ref{Abb.4})}. Man beachte dann aber, dass
die rechte Hälfte komplexes Datenformat hat. Dieser Teil wird aber
nur einmal, am Ende des Datenblocks, berechnet.
\begin{figure}
\centering{}\includegraphics[scale=0.75]{2014-03/deliano-goertzel/Bild3}\caption{\label{Abb.3}Goertzel unoptimiert}
\end{figure}
\begin{figure}
\begin{centering}
\includegraphics{2014-03/deliano-goertzel/Bild4}
\par\end{centering}
\caption{\label{Abb.4}Kompaktere Darstellung, beide Ablaufphasen}
\end{figure}
\section*{Allpol}
Die linke Hälfte arbeitet, wie bei einem Filter gewohnt, kontinuierlich
über jedes Sample. Bei einem DTMF-Empfänger, der als A/D-Wandler ein
PCM-Codec verwendet, ist die Samplerate fest fs=8kHz. Die Frequenzen
der 8 DTMF-Töne sind auch vorgegeben. Variabel ist dann also nur N,
die Zahl der Samples im Datenblock. Große Werte wären wegen der Schmalbandigkeit
besser. Für k sind aber ganzzahlige Werte nötig. Mit geringer Frequenzabweichung
für alle 8 Frequenzen. Das schränkt die Möglichkeiten ein. Der übliche
Wert für fs=8kHz ist dann N=205 \textbf{(Tab.\ref{tab-1})} \cite{key-4},
obwohl auch N=105 schon vorgeschlagen wurde \textbf{(Tab.\ref{tab-2})}.
Man kann auch auf fs=4kHz reduzieren, dann empfiehlt sich N=106 \cite{key-5}.
Die Koeffizienten sind so gewählt, dass dieses Filter auf der Stabilitätsgrenze
liegt und damit extrem schmalbandig ist. Da der Faktor „a1“ als Festkommazahl
nicht exakt darstellbar ist, könnte das Signal entweder Richtung Übersteuerung
driften oder abklingen. Aber die Quantisierung der Daten, die bei
digitalen Filtern meist für unschöne Grenzzyklen sorgt, wirkt sich
hier meist stabilisierend auf die Schwingung aus. Solange das Signal
nicht innerhalb der N=205 Samples wegdriftet, ist die Funktion nicht
beeinträchtigt.
\begin{table}
\begin{centering}
\caption{\label{tab-1}Parameter DTMF-Decoder {[}4{]} }
N=205 fs=8kHz
\par\end{centering}
\centering{}%
\begin{tabular}{|c|c|c|}
\hline
ft= & k= & a1=\tabularnewline
\hline
\hline
697Hz & 18 & 27906\tabularnewline
\hline
770Hz & 20 & 26802\tabularnewline
\hline
852Hz & 22 & 25597\tabularnewline
\hline
941Hz & 24 & 24295\tabularnewline
\hline
1209Hz & 31 & 19057\tabularnewline
\hline
1336Hz & 34 & 16529\tabularnewline
\hline
1477Hz & 38 & 12945\tabularnewline
\hline
1633Hz & 42 & 9166\tabularnewline
\hline
\end{tabular}
\end{table}
\begin{table}
\begin{centering}
\caption{\label{tab-2}Parameter DTMF-Decoder {[}5{]} }
N=105 fs=8kHz
\par\end{centering}
\centering{}%
\begin{tabular}{|c|c|}
\hline
ft= & k=\tabularnewline
\hline
\hline
697Hz & 9\tabularnewline
\hline
770Hz & 10\tabularnewline
\hline
852Hz & 11\tabularnewline
\hline
941Hz & 12\tabularnewline
\hline
1209Hz & 16\tabularnewline
\hline
1336Hz & 18\tabularnewline
\hline
1477Hz & 19\tabularnewline
\hline
1633Hz & 21\tabularnewline
\hline
\end{tabular}
\end{table}
\section*{Squared Magnitude }
Wenn man die rechte Hälfte des Filters mit der folgenden Bestimmung
der Zeigerlänge kombiniert, werden erhebliche Vereinfachungen möglich
\textbf{(Abb.\ref{Abb.5})}. Nach Ausgabe des Ergebnisses müssen die
beiden Speicher des Filters auf null gesetzt werden und der nächste
Datenblock kann beginnen.
\begin{figure}
\centering{}\includegraphics{2014-03/deliano-goertzel/Bild5}\caption{\label{Abb.5}Berechnung squared magnitude}
\end{figure}
\section*{Nachverarbeitung}
Da der Datenblock mit einem Rechteckfenster gewichtet wurde, ist der
Frequenzgang wellig und für Oberwellen etwas durchlässig \textbf{(Abb.\ref{Abb.6})}.
Für viele Anwendungen genügt deren Bedämpfung jedoch. Bei DTMF-Signalen
z.B. sind kaum Oberwellen vorhanden.
\begin{figure}
\centering{}\includegraphics{2014-03/deliano-goertzel/Bild6}\caption{\label{Abb.6}Rechteckfenster}
\end{figure}
Wenn das Eingangssignal z.B. durch ALC einen konstanten Pegel hat,
genügt der Vergleich mit einer festen Schaltschwelle, um eine Frequenz
zu erkennen \textbf{(Abb.\ref{Abb.7}a)}. Andernfalls kann man mit
breitbandigen Energiedetektor den Eingangspegel bestimmen und daraus
die Schaltschwelle ableiten \textbf{(Abb.\ref{Abb.7}b)}.
Bei DTMF-Empfängern auf DSPs werden manchmal pro Frequenz zwei Goertzel
verwendet \cite{key-3} \textbf{(Abb.\ref{Abb.7}c)}. Da Sprache im
Gegensatz zu DTMF reichlich Oberwellen hat, erleichtert der zusätzliche
Detektor die Unterscheidung beider Signale.
\begin{figure}
\centering{}\includegraphics{2014-03/deliano-goertzel/Bild7}\caption{\label{Abb.7}Schalter}
\end{figure}
\section*{Und nun zur Implementierung}
Als Beispiel wird die gängige DTMF-Variante 941Hz mit N=205 , k=24
verwendet. fs/ft ist dann ca. 8,5 und die Konstante a1 hat den Wert
1,4712.
Wenn man diesen Allpol mit Puls anregt, wird er dauerhaft auf der
Sinusfrequenz, d.h mit ca. 8,5 Samples Periode, weiterschwingen.
\section*{Sinusgenerator}
Für weitere Tests benötigt man Sinustabellen mit „Frequenzen“ in passendem
Bereich \textbf{(Abb.\ref{Abb.10})}. Gerade Längen mit 7 ... 20 Samples
enthalten eine einzelne Sinuskurve. Eine Tabelle mit 17 Samples, die
zwei Sinusperioden enthält, kann krumme Werte, wie 8,5 , darstellen.
Die Tabellen werden hier mit +/-7FFF vollausgesteuert verwendet. Die
16-Bit-Dynamik im Allpol-Filter reicht dann nur recht knapp aus. Es
empfiehlt sich, wie in \cite{key-12}, ein 32-Bit-Akkumulator, der
auf 40 Bit erweitert ist und damit Überlauf erkennt und Sättigung
durchführen kann.
Nach Tests wurde der Vorteiler am Eingang \textbf{(Abb.\ref{Abb.8})}
auf 2\textasciicircum{}7 ausgelegt. Dämpft man noch mehr, wird intern
ungenügend ausgesteuert. Während mit 2\textasciicircum{}6 die Overflows
bereits Nebenmaxima verschlechtern \textbf{(Abb.\ref{Abb.10})}. Zwar
wird der Überlauf durch die Sättigungslogik entschärft, aber eine
leichte Verschlechterung des Messwerts tritt trotzdem ein, sodass
er nicht unbegrenzt tolerierbar ist. Man sollte also in realen Anwendungen
anhand anliegendem Pegel und Frequenzgemisch untersuchen, wie sich
intern die Aussteuerung des Allpols verhält. Die abschließende Berechnung
der Zeigerlängen \textbf{(Abb.\ref{Abb.9})} ist zwar etwas umfänglich,
aber technisch unproblematisch.
\begin{figure}
\centering{}\includegraphics{2014-03/deliano-goertzel/Bild8}\caption{\label{Abb.8}Skalierung Allpol}
\end{figure}
\begin{figure}
\includegraphics{2014-03/deliano-goertzel/Bild9}\caption{\label{Abb.9}Skalierung squared magnitude}
\end{figure}
\begin{figure}
\centering{}\includegraphics[scale=0.75]{2014-03/deliano-goertzel/Bild10}\caption{\label{Abb.10}Frequenzgang \& Overflows}
\end{figure}
\section*{Timing}
Das Programm belegt in Assembler auf einem 2,45-MHz-MC68HC908 ca.
400 Bytes FLASH. Der Allpol benötigt 220usec pro Sample, die folgende
Berechnung der Zeigerlänge 350usec. Wenn der Allpol z.B. in einem
250usec-Timerinterrupt berechnet wird \textbf{(Abb.\ref{Abb.11})},
wird man dort auch die abschließende Berechnung der Ausgabewerte vornehmen.
Die Unterbrechung von 1... 2 Samples ist bezogen auf die Blocklänge
N=205 unerheblich.
\begin{figure}
\centering{}\includegraphics{2014-03/deliano-goertzel/Bild11}\caption{\label{Abb.11}Timing}
\end{figure}
\section*{Guard-Bits}
Für Simulation und Debugging des Algorithmus ist oft eine portable
Variante in Hochsprache wünschenswert. Es ist in Assembler einfach,
an das 32-Bit-Datenwort 8 Bit anzuhängen, um einen überlaufsicheren
40-Bit-Akkumulator zu erhalten. In Hochsprache teilt man die Summierung
in eine 32-Bit-Addition, bei der das oberste Bit gelöscht ist \textbf{(Abb.\ref{Abb.12})},
sodass man Carry detektieren kann. Gefolgt von zwei Additionen für
die oberen 16 Bit und das Carrybit.
\begin{figure}
\centering{}\includegraphics[scale=0.75]{2014-03/deliano-goertzel/Bild12}\caption{\label{Abb.12}Akku mit Guard-Bits in HLL}
\end{figure}
\begin{thebibliography}{10}
\bibitem{key-1}Goertzel „An Algorithm for the Evaluation of Finite
Trigonometric Series“ Amer. Math. Monthly Jan. 1958
\bibitem[2]{key-2}Gerdsen, Kröger „Digitale Signalverarbeitung in
der Nachrichtentechnik“ Springer 1993
\bibitem[3]{key-3}Mock „Add DTMF generation and decoding to DSP-uP
designs“ EDN March 1985
\bibitem[4]{key-4}Chen \textquotedbl{}Modified Goertzel Algorithm
in DTMF Detection Using the TMS320C80\textquotedbl{} Application Note
SPRA066 1996
\bibitem[5]{key-5}Gay, Hartung, Smith „Algorithms for Multi-Channel
DTMF Detection for the WE DSP32 Family“ ICASSP 89
\bibitem[10]{key-10}emb (12) DTMF-Decoder
\bibitem[11]{key-11}emb (13) 2pol Allpol Filter
\bibitem[12]{key-12}emb (14) Biquads
\bibitem[14]{key-14}(ist im text erwähnt, nicht angegeben --> nachfragen)
\end{thebibliography}
\end{multicols}
\begin{multicols}{2}
\section*{Listing}
{\footnotesize{\listinginput[1]{1}{2014-03/deliano-goertzel/listing.txt}}}{\footnotesize \par}
\end{multicols}
\end{document}
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Added 2014-03/haiku-pacman.eps.
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%!PS-Adobe-3.0 EPSF-3.0 %%Creator: (ImageMagick) %%Title: (2014-03/haiku-pacman.eps) %%CreationDate: (2014-11-16T02:28:59+01:00) %%BoundingBox: -0 -0 256 256 %%HiResBoundingBox: 0 0 256 256 %%DocumentData: Clean7Bit %%LanguageLevel: 1 %%Pages: 1 %%EndComments %%BeginDefaults %%EndDefaults %%BeginProlog % % Display a color image. The image is displayed in color on % Postscript viewers or printers that support color, otherwise % it is displayed as grayscale. % /DirectClassPacket { % % Get a DirectClass packet. % % Parameters: % red. % green. % blue. % length: number of pixels minus one of this color (optional). % currentfile color_packet readhexstring pop pop compression 0 eq { /number_pixels 3 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add 3 mul def } ifelse 0 3 number_pixels 1 sub { pixels exch color_packet putinterval } for pixels 0 number_pixels getinterval } bind def /DirectClassImage { % % Display a DirectClass image. % systemdict /colorimage known { columns rows 8 [ columns 0 0 rows neg 0 rows ] { DirectClassPacket } false 3 colorimage } { % % No colorimage operator; convert to grayscale. % columns rows 8 [ columns 0 0 rows neg 0 rows ] { GrayDirectClassPacket } image } ifelse } bind def /GrayDirectClassPacket { % % Get a DirectClass packet; convert to grayscale. % % Parameters: % red % green % blue % length: number of pixels minus one of this color (optional). % currentfile color_packet readhexstring pop pop color_packet 0 get 0.299 mul color_packet 1 get 0.587 mul add color_packet 2 get 0.114 mul add cvi /gray_packet exch def compression 0 eq { /number_pixels 1 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add def } ifelse 0 1 number_pixels 1 sub { pixels exch gray_packet put } for pixels 0 number_pixels getinterval } bind def /GrayPseudoClassPacket { % % Get a PseudoClass packet; convert to grayscale. % % Parameters: % index: index into the colormap. % length: number of pixels minus one of this color (optional). % currentfile byte readhexstring pop 0 get /offset exch 3 mul def /color_packet colormap offset 3 getinterval def color_packet 0 get 0.299 mul color_packet 1 get 0.587 mul add color_packet 2 get 0.114 mul add cvi /gray_packet exch def compression 0 eq { /number_pixels 1 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add def } ifelse 0 1 number_pixels 1 sub { pixels exch gray_packet put } for pixels 0 number_pixels getinterval } bind def /PseudoClassPacket { % % Get a PseudoClass packet. % % Parameters: % index: index into the colormap. % length: number of pixels minus one of this color (optional). % currentfile byte readhexstring pop 0 get /offset exch 3 mul def /color_packet colormap offset 3 getinterval def compression 0 eq { /number_pixels 3 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add 3 mul def } ifelse 0 3 number_pixels 1 sub { pixels exch color_packet putinterval } for pixels 0 number_pixels getinterval } bind def /PseudoClassImage { % % Display a PseudoClass image. % % Parameters: % class: 0-PseudoClass or 1-Grayscale. % currentfile buffer readline pop token pop /class exch def pop class 0 gt { currentfile buffer readline pop token pop /depth exch def pop /grays columns 8 add depth sub depth mul 8 idiv string def columns rows depth [ columns 0 0 rows neg 0 rows ] { currentfile grays readhexstring pop } image } { % % Parameters: % colors: number of colors in the colormap. % colormap: red, green, blue color packets. % currentfile buffer readline pop token pop /colors exch def pop /colors colors 3 mul def /colormap colors string def currentfile colormap readhexstring pop pop systemdict /colorimage known { columns rows 8 [ columns 0 0 rows neg 0 rows ] { PseudoClassPacket } false 3 colorimage } { % % No colorimage operator; convert to grayscale. % columns rows 8 [ columns 0 0 rows neg 0 rows ] { GrayPseudoClassPacket } image } ifelse } ifelse } bind def /DisplayImage { % % Display a DirectClass or PseudoClass image. % % Parameters: % x & y translation. % x & y scale. % label pointsize. % image label. % image columns & rows. % class: 0-DirectClass or 1-PseudoClass. % compression: 0-none or 1-RunlengthEncoded. % hex color packets. % gsave /buffer 512 string def /byte 1 string def /color_packet 3 string def /pixels 768 string def currentfile buffer readline pop token pop /x exch def token pop /y exch def pop x y translate currentfile buffer readline pop token pop /x exch def token pop /y exch def pop currentfile buffer readline pop token pop /pointsize exch def pop /Times-Roman findfont pointsize scalefont setfont x y scale currentfile buffer readline pop token pop /columns exch def token pop /rows exch def pop currentfile buffer readline pop token pop /class exch def pop currentfile buffer readline pop token pop /compression exch def pop class 0 gt { PseudoClassImage } { DirectClassImage } ifelse grestore } bind def %%EndProlog %%Page: 1 1 %%PageBoundingBox: 0 0 256 256 userdict begin DisplayImage 0 0 256 256 12 256 256 0 0 000033000033000033000033000033000033000033000033000033000033000033000033000033 000033000033000033000033000033000033000033000033000033000033000033000033000033 000033000033000033000033000033000033000033000033000033000033000033000033000033 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Added 2014-03/haiku-pacman.png.
cannot compute difference between binary files
Added 2014-03/kalus-taster/2taster.eps.
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\ Hochzaehlen einer Variablen. \ An den beiden LaunchPad-LEDs darstellen. \ Zählen jeweils auf einen S2-Tastendruck. \ LED1 -- P1.0 red \ LED2 -- P1.6 green \ S2 -- P1.3 input \ Die LEDs und S2 sind im 4e4th schon initialisiert. \ Wert anzeigen an den beiden LEDs HEX : SETLEDS \ n -- \ Binaerwert an den LEDs darstellen. >r \ in lokale Variable sichern. r@ 01 and IF green cset ELSE green cclr THEN \ Bit0 r> 02 and IF red cset ELSE red cclr THEN ; \ Bit1 variable OUT : ? @ u. ; \ adr --- \ Helfer, Variable zeigen. : OUT> \ Wert anzeigen. out @ setleds ; \ Uebung1: Pegel am Pin von S2 abfragen. HEX FFFF constant TRUE : 5XS2? \ -- f \ wahr, wenn Taster gedrueckt. true 5 zero DO 10 ms s2? and LOOP ; \ Zeit ausprobieren. : TNEW \ x0 f0 -- x1 f1 \ f1 wird nur wahr, wenn der Taster \ erneut gedrueckt wurde. 2dup >r >r \ R: -- x0 f0 invert swap drop \ f0 --> x1 r> r> \ x1 x0 f0 -- 2dup and IF 2drop true exit THEN 2dup and 0= IF 2drop zero exit THEN 2drop zero ; : INC \ Binaerzaehler, beide LEDs am LaunchPad. zero out ! out> \ Anzeige aus. zero BEGIN 5xs2? tnew \ Tastendruck abfragen. IF 1 out +! THEN \ Binaer zaehlen out> \ Display aktuell halten. key? UNTIL drop key drop ; \ Ende \ Uebung2: Flanke am Pin von S2 abfragen HEX : INITIO \ -- \ I/O initialisation \ mask adr op 08 22 ( P1DIR ) cclr \ P1 INs 08 24 ( P1IES ) cset \ falling edge detect 08 27 ( P1REN ) cset \ pullup selected 08 21 ( P1OUT ) cset \ pullup enabled ; INITIO 023 constant P1IFG : S2E? \ -- f \ set on edge event. 008 P1IFG cget ; : S2RS \ -- \ reset flag 008 P1IFG cclr ; : INC2 \ Binaerzaehler, beide LEDs am LaunchPad. initio zero out ! out> \ Anzeige aus. s2rs BEGIN s2e? \ Tastendruck abfragen. IF 1 out +! 10 ms s2rs THEN \ binaer zaehlen out> \ Display aktuell halten. key? UNTIL key drop ; \ Ende ( finis) |
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\title{Grundlegende Experimente mit einer MCU - Taster abfragen} \ifx\shorttitle\undefined\else \shorttitle{Taster abfragen} \fi \author{Michael Kalus} \begin{document} \maketitle %abstract ... Ist der Taster gedrückt oder nicht? Das klingt nach einer einfachen Sache. Um das zu überprüfen wurde das Verhalten zweier Taster unterschiedlicher Bauart untersucht. 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. \begin{multicols}{2} \section{Tasterverhalten} 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. 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. %Abbildung 1: \begin{figure} \begin{center} \includegraphics[width=0.8\textwidth]{2014-03/kalus-bild1} \caption{\label{Bild1}Eine saubere flanke an Taster S2 des LaunchPads} \end{center} \end{figure} %Abbildung 2: \begin{figure} \begin{center} \includegraphics[width=0.8\textwidth]{2014-03/kalus-bild2} \caption{\label{Bild2}Ein einfacher NoName-Taster} \end{center} \end{figure} %Abbildung 3: \begin{figure} \begin{center} \includegraphics[width=0.8\textwidth]{2014-03/kalus-bild3} \caption{\label{Bild3}Der NoName-Taster prellt offensichtlich} \end{center} \end{figure} \section{Schaltung} Die Schaltung für das Experiment ist denkbar einfach: \begin{verbatim} P1.3 --- S2 --- GND \end{verbatim} 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. % Einfache Tabelle; Spaltentypen= l,c,r links,center,rechts \begin{tabular} {l}\hline S2 & P1.3 \tabularnewline\hline offen & H \tabularnewline\hline gedrückt & L \tabularnewline\hline \end{tabular} \section{Digitalen Input pollen} 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. \section{Interruptflag abfragen} 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. Weitere Experimente findet ihr auf der forth-ev Wiki-Seite mit den grundlegenden Experimenten zu einer MCU. Viel Vergnügen. \end{multicols} \section{Link} \url{http://www.forth-ev.de/wiki/doku.php/projects:4e4th:4e4th:start:msp430g2553_experimente:input} \section{Listing}\label{listing1} \begin{quote} \listinginput[1]{1}{2014-03/kalus/kalus-entprellen.4th} \end{quote} \end{document} |
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#LyX 2.1 created this file. For more info see http://www.lyx.org/ \lyxformat 413 \begin_document \begin_header \textclass article \use_default_options true \maintain_unincluded_children false \language ngerman \language_package default \inputencoding utf8x \fontencoding global \font_roman default \font_sans default \font_typewriter default \font_default_family default \use_non_tex_fonts false \font_sc false \font_osf false \font_sf_scale 100 \font_tt_scale 100 \graphics default \default_output_format default \output_sync 0 \bibtex_command default \index_command default \paperfontsize default \spacing single \use_hyperref false \papersize default \use_geometry false \use_amsmath 1 \use_esint 1 \use_mhchem 1 \use_mathdots 1 \cite_engine basic \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date false \use_refstyle 0 \index Stichwortverzeichnis \shortcut idx \color #008000 \end_index \secnumdepth 3 \tocdepth 3 \paragraph_separation indent \paragraph_indentation default \quotes_language german \papercolumns 1 \papersides 1 \paperpagestyle default \tracking_changes false \output_changes false \html_math_output 0 \html_css_as_file 0 \html_be_strict false \end_header \begin_body \begin_layout Title Grundlegende Experimente mit einer MCU --- Taster abfragen \end_layout \begin_layout Author Michael Kalus \end_layout \begin_layout Abstract \emph on Ist der Taster gedrückt oder nicht? Das klingt nach einer einfachen Sache. Um das zu überprüfen, wurde das Verhalten zweier Taster unterschiedlicher Bauart untersucht. 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. \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash begin{multicols}{2} \end_layout \end_inset \end_layout \begin_layout Section Tasterverhalten \end_layout \begin_layout Standard Die \series bold Abb. \begin_inset CommandInset ref LatexCommand ref reference "fig1" \end_inset \series default zeigt das Verhalten des LaunchPad--Tasters, aufgenommen mit einem Speicheroszil loskop. 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 robusten Taster ( \series bold Abb. \begin_inset CommandInset ref LatexCommand ref reference "fig2" \end_inset b \series default ) zeigt, dass 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 etwa 4.5ms gibt er immer wieder H- und L-Pegel in rascher Folge ( \series bold Abb. \begin_inset CommandInset ref LatexCommand ref reference "fig3" \end_inset \series default ). \end_layout \begin_layout Standard Um auch von solch 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. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename kalus-taster/2taster.eps width 90col% \end_inset \end_layout \begin_layout Plain Layout \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "fig2" \end_inset Zwei Typen von Tastern: a) Drucktaster wie auf dem LaunchPad, 24V/DC. b) robuster Drucktaster 250V/AC. \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename kalus-taster/taster-bild12.jpg width 90col% \end_inset \end_layout \begin_layout Plain Layout \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "fig1" \end_inset Saubere Flanke am Launchpad-Taster Typ a) \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename kalus-taster/taster-bild3.jpg width 90col% \end_inset \end_layout \begin_layout Plain Layout \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "fig3" \end_inset Taster Typ b) prellt \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Section Schaltung \end_layout \begin_layout Standard Die Schaltung für das Experiment ist denkbar einfach: \end_layout \begin_layout Standard \begin_inset listings inline false status open \begin_layout Plain Layout P1.3 --- S2 --- GND \end_layout \end_inset \end_layout \begin_layout Standard 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. \end_layout \begin_layout Standard \begin_inset Float table wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Tabular <lyxtabular version="3" rows="4" columns="2"> <features tabularvalignment="middle"> <column alignment="center" valignment="top"> <column alignment="center" valignment="top"> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout offen \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout gedrückt \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout false \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout true \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout H \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout L \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 3.6V \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 0V \end_layout \end_inset </cell> </row> </lyxtabular> \end_inset \end_layout \begin_layout Plain Layout \begin_inset Caption \begin_layout Plain Layout Logik des Tasters \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Section Digitalen Eingang pollen \end_layout \begin_layout Standard 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 LaunchPad-Tasters der \begin_inset Quotes gld \end_inset olle \begin_inset Quotes grd \end_inset 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. Der Merker wurde in diesem Beipiel auf dem Stack mitgeführt. \end_layout \begin_layout Section Interruptflag abfragen \end_layout \begin_layout Standard 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, war 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. \end_layout \begin_layout Standard Weitere Experimente findet ihr auf der forth-ev Wiki-Seite mit den grundlegenden Experimenten zu einer MCU. Viel Vergnügen. \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash end{multicols} \end_layout \end_inset \end_layout \begin_layout Section Link \end_layout \begin_layout Standard \begin_inset Flex URL status open \begin_layout Plain Layout http://www.forth-ev.de/wiki/doku.php/projects:4e4th:4e4th:start:msp430g2553_experim ente:input \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash begin{multicols}{2} \end_layout \end_inset \end_layout \begin_layout Section Listing \end_layout \begin_layout Standard \size footnotesize \begin_inset ERT status open \begin_layout Plain Layout \backslash listinginput[1]{1}{2014-03/kalus-taster/taster-listing.4th} \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash end{multicols} \end_layout \end_inset \end_layout \end_body \end_document |
Added 2014-03/taster.lyx~.
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#LyX 2.0 created this file. For more info see http://www.lyx.org/ \lyxformat 413 \begin_document \begin_header \textclass article \use_default_options true \maintain_unincluded_children false \language ngerman \language_package default \inputencoding utf8x \fontencoding global \font_roman default \font_sans default \font_typewriter default \font_default_family default \use_non_tex_fonts false \font_sc false \font_osf false \font_sf_scale 100 \font_tt_scale 100 \graphics default \default_output_format default \output_sync 0 \bibtex_command default \index_command default \paperfontsize default \spacing single \use_hyperref false \papersize default \use_geometry false \use_amsmath 1 \use_esint 1 \use_mhchem 1 \use_mathdots 1 \cite_engine basic \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date false \use_refstyle 0 \index Stichwortverzeichnis \shortcut idx \color #008000 \end_index \secnumdepth 3 \tocdepth 3 \paragraph_separation indent \paragraph_indentation default \quotes_language german \papercolumns 1 \papersides 1 \paperpagestyle default \tracking_changes false \output_changes false \html_math_output 0 \html_css_as_file 0 \html_be_strict false \end_header \begin_body \begin_layout Title Grundlegende Experimente mit einer MCU - Taster abfragen \end_layout \begin_layout Author Michael Kalus \end_layout \begin_layout Abstract \emph on Ist der Taster gedrückt oder nicht? Das klingt nach einer einfachen Sache. Um das zu überprüfen, wurde das Verhalten zweier Taster unterschiedlicher Bauart untersucht. 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. \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash begin{multicols}{2} \end_layout \end_inset \end_layout \begin_layout Section Tasterverhalten \end_layout \begin_layout Standard Die \series bold Abb. \begin_inset CommandInset ref LatexCommand ref reference "fig1" \end_inset \series default zeigt das Verhalten des LaunchPad--Tasters, aufgenommen mit einem Speicheroszil loskop. 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 robusten Taster ( \series bold Abb. \begin_inset CommandInset ref LatexCommand ref reference "fig2" \end_inset b \series default ) zeigt, dass 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 etwa 4.5ms gibt er immer wieder H- und L-Pegel in rascher Folge ( \series bold Abb. \begin_inset CommandInset ref LatexCommand ref reference "fig3" \end_inset \series default ). \end_layout \begin_layout Standard Um auch von solch 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. \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename kalus-taster/2taster.eps width 90col% \end_inset \end_layout \begin_layout Plain Layout \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "fig2" \end_inset Zwei Typen von Tastern: a) Drucktaster wie auf dem LaunchPad, 24V/DC. b) robuster Drucktaster 250V/AC. \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename kalus-taster/taster-bild12.jpg width 90col% \end_inset \end_layout \begin_layout Plain Layout \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "fig1" \end_inset Saubere Flanke am Launchpad-Taster Typ a) \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Float figure wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Graphics filename kalus-taster/taster-bild3.jpg width 90col% \end_inset \end_layout \begin_layout Plain Layout \begin_inset Caption \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "fig3" \end_inset Taster Typ b) prellt \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Section Schaltung \end_layout \begin_layout Standard Die Schaltung für das Experiment ist denkbar einfach: \end_layout \begin_layout Standard \begin_inset listings inline false status open \begin_layout Plain Layout P1.3 --- S2 --- GND \end_layout \end_inset \end_layout \begin_layout Standard 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. \end_layout \begin_layout Standard \begin_inset Float table wide false sideways false status collapsed \begin_layout Plain Layout \align center \begin_inset Tabular <lyxtabular version="3" rows="4" columns="2"> <features tabularvalignment="middle"> <column alignment="center" valignment="top" width="0"> <column alignment="center" valignment="top" width="0"> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout offen \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout gedrückt \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout false \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout true \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout H \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout L \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 3.6V \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout 0V \end_layout \end_inset </cell> </row> </lyxtabular> \end_inset \end_layout \begin_layout Plain Layout \begin_inset Caption \begin_layout Plain Layout Logik des Tasters \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \end_layout \begin_layout Section Digitalen Eingang pollen \end_layout \begin_layout Standard 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 LaunchPad-Tasters der \begin_inset Quotes gld \end_inset olle \begin_inset Quotes grd \end_inset 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. Der Merker wurde in diesem Beipiel auf dem Stack mitgeführt. \end_layout \begin_layout Section Interruptflag abfragen \end_layout \begin_layout Standard 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, war 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. \end_layout \begin_layout Standard Weitere Experimente findet ihr auf der forth-ev Wiki-Seite mit den grundlegenden Experimenten zu einer MCU. Viel Vergnügen. \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash end{multicols} \end_layout \end_inset \end_layout \begin_layout Section Link \end_layout \begin_layout Standard \begin_inset Flex URL status open \begin_layout Plain Layout http://www.forth-ev.de/wiki/doku.php/projects:4e4th:4e4th:start:msp430g2553_experim ente:input \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash begin{multicols}{2} \end_layout \end_inset \end_layout \begin_layout Section Listing \end_layout \begin_layout Standard \size footnotesize \begin_inset ERT status open \begin_layout Plain Layout \backslash listinginput[1]{1}{2014-03/kalus-taster/taster-listing.4th} \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status open \begin_layout Plain Layout \backslash end{multicols} \end_layout \end_inset \end_layout \end_body \end_document |
Added 2014-03/taster.tex.
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%% LyX 2.1.2 created this file. For more info, see http://www.lyx.org/. %% Do not edit unless you really know what you are doing. \documentclass[ngerman]{article} \usepackage[T1]{fontenc} \usepackage[utf8x]{inputenc} \usepackage{url} \usepackage{graphicx} \makeatletter %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands. %%% Because html converters don't know tabularnewline %\providecommand{\tabularnewline}{\\} \makeatother \usepackage{babel} \usepackage{listings} \renewcommand{\lstlistingname}{Listing} \begin{document} \title{Grundlegende Experimente mit einer MCU --- Taster abfragen} \author{Michael Kalus} \maketitle \begin{abstract} \emph{Ist der Taster gedrückt oder nicht? Das klingt nach einer einfachen Sache. Um das zu überprüfen, wurde das Verhalten zweier Taster unterschiedlicher Bauart untersucht. 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.} \end{abstract} \begin{multicols}{2} \section{Tasterverhalten} Die \textbf{Abb.\ref{fig1}} 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 robusten Taster (\textbf{Abb.\ref{fig2}b}) zeigt, dass 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 etwa 4.5ms gibt er immer wieder H- und L-Pegel in rascher Folge (\textbf{Abb.\ref{fig3}}). Um auch von solch 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. \begin{figure} \begin{centering} \includegraphics[width=0.9\columnwidth]{2014-03/kalus-taster/2taster} \par\end{centering} \protect\caption{\label{fig2}Zwei Typen von Tastern: a) Drucktaster wie auf dem LaunchPad, 24V/DC. b) robuster Drucktaster 250V/AC.} \end{figure} \begin{figure} \begin{centering} \includegraphics[width=0.9\columnwidth]{2014-03/kalus-taster/taster-bild12} \par\end{centering} \protect\caption{\label{fig1}Saubere Flanke am Launchpad-Taster Typ a)} \end{figure} \begin{figure} \begin{centering} \includegraphics[width=0.9\columnwidth]{2014-03/kalus-taster/taster-bild3} \par\end{centering} \protect\caption{\label{fig3}Taster Typ b) prellt} \end{figure} \section{Schaltung} Die Schaltung für das Experiment ist denkbar einfach: \inputencoding{latin9}\begin{lstlisting} P1.3 --- S2 --- GND \end{lstlisting} \inputencoding{utf8x} 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. \begin{table} \begin{centering} \begin{tabular}{|c|c|} \hline offen & gedrückt\tabularnewline \hline false & true\tabularnewline \hline \hline H & L\tabularnewline \hline 3.6V & 0V\tabularnewline \hline \end{tabular} \par\end{centering} \protect\caption{Logik des Tasters} \end{table} \section{Digitalen Eingang pollen} 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 LaunchPad-Tasters der ,,olle`` 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. Der Merker wurde in diesem Beipiel auf dem Stack mitgeführt. \section{Interruptflag abfragen} 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, war 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. Weitere Experimente findet ihr auf der forth-ev Wiki-Seite mit den grundlegenden Experimenten zu einer MCU. Viel Vergnügen. \end{multicols} \section{Link} \url{http://www.forth-ev.de/wiki/doku.php/projects:4e4th:4e4th:start:msp430g2553_experimente:input} \begin{multicols}{2} \section{Listing} {\footnotesize{}\listinginput[1]{1}{2014-03/kalus-taster/taster-listing.4th}}{\footnotesize \par} \end{multicols} \end{document} |
Added 2014-03/vd-analog.fs.
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$40048080 constant SYSAHBCLKCTRL \ Clock control register $40048238 constant PDRUNCFG \ Power-down configuration register $40044078 constant IOCON_PIO1_0 $4004407C constant IOCON_PIO1_1 $40044080 constant IOCON_PIO1_2 $40044090 constant IOCON_PIO1_3 $50013FFC constant P1DATA $50018000 constant P1DIR $4001C000 constant AD0CR \ AD-Wandler Control Register $4001C004 constant AD0GDR \ Global Data Register : farbsensor-init ( -- ) \ Vorbereitungen für den Farbsensor 1 13 lshift SYSAHBCLKCTRL bis! \ Takt für AD-Wandler einschalten 1 4 lshift PDRUNCFG bic! \ Stromaus-Bit des AD-Wandlers löschen $C1 IOCON_PIO1_1 ! \ P1.1 sei digitaler IO-Pin ohne Sonderfunktionen, 2 P1DIR ! \ Ausgang 0 P1DATA ! \ low $42 IOCON_PIO1_0 ! \ P1.0 sei analoger Eingang $42 IOCON_PIO1_2 ! \ P1.2 ... $42 IOCON_PIO1_3 ! \ P1.3 ... ; : analog ( Kanal -- Messwert ) \ Einen analogen Eingang wandeln 1 swap lshift \ Kanal wählen 4 8 lshift or \ CLKDIV = 4 --> 12 Mhz / 4 = 3 MHz < 4.5 MHz Maximum. 1 24 lshift or \ Messung starten AD0CR ! begin 1 31 lshift AD0GDR bit@ until \ Auf das Wandlungsende warten AD0GDR @ 6 rshift $3FF and \ Messergebnis passend schieben ; : farbsensor ( -- ) farbsensor-init begin 1 analog ." Rot: " u. 3 analog ." Grün: " u. 4 analog ." Blau: " u. cr key? until ; |
Added 2014-03/vd-digital.fs.
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$D0 $40044010 ! ( P0.1 als digitalen IO-Pin mit internem Pullup für den Taster konfigurieren ) $C1 $40044078 ! ( P1.0 als digitalen IO-Pin ohne Sonderfunktionen konfigurieren ) $C1 $4004407C ! ( P1.1 ... ) $C1 $40044080 ! ( P1.2 ... ) $C1 $40044090 ! ( P1.3 ... ) $50003FFC constant P0DATA $50008000 constant P0DIR $50013FFC constant P1DATA $50018000 constant P1DIR 0 P0DIR ! %1111 P1DIR ! : taster? 2 P0DATA bit@ ; : rotgrün begin taster? if %0001 P1DATA ! else %0100 P1DATA ! then key? until ; |
Changes to 4d2014-03-gray.pdf.
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(/usr/share/texmf/tex/latex/latexconfig/epstopdf-sys.cfg File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv e )) *geometry* driver: auto-detecting *geometry* detected driver: pdftex Package geometry Warning: The marginal notes overrun the paper. Add 69.40395pt and more to the right margin. *geometry* verbose mode - [ preamble ] result: * driver: pdftex * paper: a4paper * layout: <same size as paper> * layoutoffset:(h,v)=(0.0pt,0.0pt) * modes: twoside * h-part:(L,W,R)=(31.29802pt, 503.6138pt, 62.59605pt) * v-part:(T,H,B)=(62.59605pt, 725.54529pt, 56.9055pt) * \paperwidth=597.50787pt * \paperheight=845.04684pt * \textwidth=503.6138pt * \textheight=725.54529pt * \oddsidemargin=-40.97197pt * \evensidemargin=-9.67393pt * \topmargin=-63.73415pt * \headheight=34.1433pt * \headsep=19.91692pt * \topskip=10.0pt * \footskip=28.45274pt * \marginparwidth=125.0pt * \marginparsep=7.0pt * \columnsep=14.99634pt * \skip\footins=9.0pt plus 4.0pt minus 2.0pt * \hoffset=0.0pt * \voffset=0.0pt * \mag=1000 * \@twocolumnfalse * \@twosidetrue * \@mparswitchtrue * \@reversemarginfalse * (1in=72.27pt=25.4mm, 1cm=28.453pt) \c@lstlisting=\count197 ABD: EveryShipout initializing macros Package pdfcprot Info: I didn't find cmrbxnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. (/usr/share/texmf/tex/latex/pdfcprot/pplmnT1.cpa) Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrbxnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . (/usr/share/texmf/tex/latex/pdfcprot/pplmnTS1.cpa) Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrbxnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrbxnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrbxnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrbxnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrbxnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrbxnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. LaTeX Font Info: Try loading font information for T1+cmss on input line 88. (/usr/share/texmf/tex/latex/base/t1cmss.fd File: t1cmss.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) Package pdfcprot Info: I didn't find cmssbxnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. LaTeX Font Info: Try loading font information for TS1+cmss on input line 88. (/usr/share/texmf/tex/latex/base/ts1cmss.fd File: ts1cmss.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) Package pdfcprot Info: I didn't find cmssbxnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssbxnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssbxnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssbxnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssbxnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssbxnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssbxnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmitT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmitTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmitT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmitTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmitT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmitTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmitT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmrmitTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmnT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmnTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmitT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmitTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmitT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmitTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmitT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmitTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmitT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmitTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmslT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmslTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmslT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmslTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmslT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmslTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmslT1.cpa. (pdfcprot) As a fallback I will try pplmnT1.cpa. on input line 88. Package pdfcprot Info: File pplmnT1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. Package pdfcprot Info: I didn't find cmssmslTS1.cpa. (pdfcprot) As a fallback I will try pplmnTS1.cpa. on input line 88 . Package pdfcprot Info: File pplmnTS1.cpa{} used for the adjustment (pdfcprot) of the char protruding. It seems that it isn't the one (pdfcprot) you intended to use. on input line 88. \titletocwidth=\skip52 \titletocheight=\skip53 (/usr/share/texmf/tex/latex/ucs/data/uni-0.def File: uni-0.def 2013/05/13 UCS: Unicode data U+0000..U+00FF ) Package epstopdf Info: Source file: <drache30l.eps> (epstopdf) date: 2014-10-18 01:23:03 (epstopdf) size: 118748 bytes (epstopdf) Output file: <drache30l-eps-converted-to.pdf> (epstopdf) date: 2014-10-19 18:13:09 (epstopdf) size: 38507 bytes (epstopdf) Command: <repstopdf --outfile=drache30l-eps-converted-to .pdf drache30l.eps> (epstopdf) \includegraphics on input line 116. Package epstopdf Info: Output file is already uptodate. pdfTeX warning: pdflatex (file ./drache30l-eps-converted-to.pdf): PDF inclusion : found PDF version <1.4>, but at most version <1.3> allowed <drache30l-eps-converted-to.pdf, id=34, 76.285pt x 57.21375pt> File: drache30l-eps-converted-to.pdf Graphic file (type pdf) <use drache30l-eps-converted-to.pdf> Package pdftex.def Info: drache30l-eps-converted-to.pdf used on input line 116. (pdftex.def) Requested size: 76.2848pt x 57.2136pt. (./4d2014-03.toc) LaTeX Font Warning: Font shape `T1/cmr/m/n' in size <35> not available (Font) size <35.83> substituted on input line 123. LaTeX Font Warning: Font shape `T1/cmr/bx/n' in size <35> not available (Font) size <35.83> substituted on input line 123. LaTeX Font Warning: Font shape `T1/cmr/m/sc' in size <35> not available (Font) size <35.83> substituted on input line 123. LaTeX Font Warning: Font shape `T1/cmr/bx/sc' in size <35> not available (Font) size <35.83> substituted on input line 123. pdfTeX warning: pdflatex (file ./clipart/Logo.pdf): PDF inclusion: found PDF ve rsion <1.4>, but at most version <1.3> allowed <clipart/Logo.pdf, id=35, 564.1075pt x 563.10374pt> File: clipart/Logo.pdf Graphic file (type pdf) <use clipart/Logo.pdf> Package pdftex.def Info: clipart/Logo.pdf used on input line 123. (pdftex.def) Requested size: 75.213pt x 75.07916pt. Overfull \hbox (3.33252pt too wide) has occurred while \output is active [] [] Overfull \vbox (765.37909pt too high) has occurred while \output is active [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 123. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 123. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 123. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 123. [1{/usr/share/texmf/fonts/map/pdftex/updmap/pdftex.map} <./clipart/Logo.pdf> <./drache30l-eps-converted-to.pdf>] (./innenseite-werbung .tex <Tematik_Logo.jpg, id=55, 58.0569pt x 14.9358pt> File: Tematik_Logo.jpg Graphic file (type jpg) <use Tematik_Logo.jpg> Package pdftex.def Info: Tematik_Logo.jpg used on input line 12. (pdftex.def) Requested size: 215.10121pt x 55.34653pt. LaTeX Font Info: External font `cmex10' loaded for size (Font) <7> on input line 19. LaTeX Font Info: External font `cmex10' loaded for size (Font) <5> on input line 19. LaTeX Font Info: Try loading font information for U+lasy on input line 19. (/usr/share/texmf/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions ) Randomizer initialized to 1591625189. LaTeX Font Info: Try loading font information for T1+cmtt on input line 71. (/usr/share/texmf/tex/latex/base/t1cmtt.fd File: t1cmtt.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) Underfull \vbox (badness 1194) detected at line 91 [] Underfull \hbox (badness 3209) in paragraph at lines 102--103 []\T1/cmr/m/n/10 Automatisierungstechnik: Fort-ge-schrit-te-ne Steue-run- [] Overfull \vbox (0.27176pt too high) detected at line 103 [] Underfull \hbox (badness 4036) in paragraph at lines 117--118 []\T1/cmr/m/n/9 PC--basierte Forth--Entwicklungswerkzeuge, com-FORTH [] Underfull \hbox (badness 1048) in paragraph at lines 117--118 \T1/cmr/m/n/9 wa-re-ent-wick-lung fr Win-dows und Mi-kro-con-trol-ler mit [] Overfull \vbox (4.7197pt too high) detected at line 118 [] Underfull \vbox (badness 1194) detected at line 133 [] Underfull \hbox (badness 1902) in paragraph at lines 145--146 \T1/cmr/m/n/10 le PD-Ver-sio-nen). FORTH--Hardware (z.B. Su-per8) [] Package epstopdf Info: Source file: <drache30.eps> (epstopdf) date: 2014-10-18 01:23:03 (epstopdf) size: 21450 bytes (epstopdf) Output file: <drache30-eps-converted-to.pdf> (epstopdf) date: 2014-10-19 18:13:11 (epstopdf) size: 10526 bytes (epstopdf) Command: <repstopdf --outfile=drache30-eps-converted-to. pdf drache30.eps> (epstopdf) \includegraphics on input line 149. Package epstopdf Info: Output file is already uptodate. pdfTeX warning: pdflatex (file ./drache30-eps-converted-to.pdf): PDF inclusion: found PDF version <1.4>, but at most version <1.3> allowed <drache30-eps-converted-to.pdf, id=59, 26.0975pt x 20.075pt> File: drache30-eps-converted-to.pdf Graphic file (type pdf) <use drache30-eps-converted-to.pdf> Package pdftex.def Info: drache30-eps-converted-to.pdf used on input line 149. (pdftex.def) Requested size: 26.09743pt x 20.07494pt. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 149. 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Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 24. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 24. [4 <./2014-03/LPC1114-DIP.jpg>]) (./2014-03/ting-stm32-eforth.tex *** *** *** The required package `fontenc' seems not to be loaded. *** I try to stumble along as good as I can. *** Expect some undefined macros or other errors. *** *** (/usr/share/texmf/tex/latex/ucs/data/uni-32.def File: uni-32.def 2013/05/13 UCS: Unicode data U+2000..U+20FF ) Package epstopdf Info: Source file: <drache30.eps> (epstopdf) date: 2014-10-18 01:23:03 (epstopdf) size: 21450 bytes (epstopdf) Output file: <drache30-eps-converted-to.pdf> (epstopdf) date: 2014-10-19 18:13:11 (epstopdf) size: 10526 bytes (epstopdf) Command: <repstopdf --outfile=drache30-eps-converted-to. pdf drache30.eps> (epstopdf) \includegraphics on input line 158. Package epstopdf Info: Output file is already uptodate. 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11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 |
{\bf Ewald Rieger}\\
Tel.: (0\,62\,39)\,--\,92\,01\,85 (p)\\
Treffen: jeden 1. Dienstag im Monat\\
{\bf Vereinslokal} Segelverein Mannheim e.V.
Flugplatz Mannheim--Neuostheim
\item[München]
{\bf Bernd Paysan}\\ Tel.: (0\,89)\,--\,41\,15\,46\,53 (p)\\
{\tt\email{bernd.paysan@gmx.de}}\\ Treffen: Jeden 4. Donnerstag im
Monat um 19:00 in der Pizzeria La Capannina, Weitlstr. 142, 80995
München (Feldmochinger Anger).
\item[Hamburg] {\bf Ulrich Hoffman}\\
Tel.: (04103)\,--\,80\,48\,41\\
{\tt\email{uho@forth-ev.de}}\\ Treffen: Alle 14 Tage in der FH
|
| |
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 |
{\bf Ewald Rieger}\\
Tel.: (0\,62\,39)\,--\,92\,01\,85 (p)\\
Treffen: jeden 1. Dienstag im Monat\\
{\bf Vereinslokal} Segelverein Mannheim e.V.
Flugplatz Mannheim--Neuostheim
\item[München]
{\bf Bernd Paysan}\\ Tel.: (0\,89)\,--\,41\,15\,46\,53\\
{\tt\email{bernd.paysan@gmx.de}}\\ Treffen: Jeden 4. Donnerstag im
Monat um 19:00 in der Pizzeria La Capannina, Weitlstr. 142, 80995
München (Feldmochinger Anger).
\item[Hamburg] {\bf Ulrich Hoffman}\\
Tel.: (04103)\,--\,80\,48\,41\\
{\tt\email{uho@forth-ev.de}}\\ Treffen: Alle 14 Tage in der FH
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Added drache30l.pdf.
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