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authorAndreas Müller <andreas.mueller@ost.ch>2021-08-08 11:47:57 +0200
committerAndreas Müller <andreas.mueller@ost.ch>2021-08-08 11:47:57 +0200
commitd223220e4fdd827a5c0dd76e3d7b1453876f3e4b (patch)
tree014532e83deb932ef33939edce68f8d516ad4097 /buch/papers/reedsolomon/tikz
parentMerge pull request #76 from JODBaer/Baer (diff)
downloadSeminarMatrizen-d223220e4fdd827a5c0dd76e3d7b1453876f3e4b.tar.gz
SeminarMatrizen-d223220e4fdd827a5c0dd76e3d7b1453876f3e4b.zip
add image to reedsolomon
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-rw-r--r--buch/papers/reedsolomon/tikz/fourier.pdfbin0 -> 59496 bytes
-rw-r--r--buch/papers/reedsolomon/tikz/fourier.tex132
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diff --git a/buch/papers/reedsolomon/tikz/Makefile b/buch/papers/reedsolomon/tikz/Makefile
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+#
+# Makefile
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+fourier.pdf: fourier.tex
+ pdflatex fourier.tex
diff --git a/buch/papers/reedsolomon/tikz/fourier.pdf b/buch/papers/reedsolomon/tikz/fourier.pdf
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diff --git a/buch/papers/reedsolomon/tikz/fourier.tex b/buch/papers/reedsolomon/tikz/fourier.tex
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+%
+% Plot der Übertrangungsabfolge ins FFT und zurück mit IFFT
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{pgfplots}
+\usepackage{pgfplotstable}
+\usepackage{csvsimple}
+\usepackage{filecontents}
+
+\def\plotwidth{7.5cm}
+\def\plotheight{5.5cm}
+\def\xverschiebung{4.5cm}
+\def\yverschiebung{-7cm}
+\def\yyverschiebung{-14cm}
+
+\def\marke#1{
+ \coordinate (M) at (-0.8,4.6);
+ \fill[color=lightgray] (M) circle[radius=0.3];
+ \draw (M) circle[radius=0.3];
+ \node at (M) {#1};
+}
+
+\begin{document}
+\begin{tikzpicture}[>=latex,thick]
+
+\draw[dashed,line width=2pt,color=lightgray] (2.6,4.4) -- (2.6,-14.3);
+\coordinate (B) at (2.6,-1.3);
+\node[color=gray] at (B) [rotate=90,above] {Zeitbereich};
+\node[color=gray] at (B) [rotate=90,below] {Frequenzbereich};
+
+\begin{scope}[xshift=-\xverschiebung,yshift=0cm]
+ \begin{axis}
+ [title = {\large Signal\strut},
+ xtick={0,32,64,96}, width=\plotwidth,height=\plotheight]
+ \addplot[blue,line width=1pt] table[col sep=comma]
+ {tikz/signal.txt};
+ \end{axis}
+ \marke{1}
+\end{scope}
+
+\begin{scope}[xshift=\xverschiebung,yshift=0cm]
+ \begin{axis}[axis x line= none, axis y line*=right,ytick={0},
+ width=\plotwidth,height=\plotheight]
+ \addplot[color=white] {0};
+ \end{axis}
+
+ \begin{axis}[title = {\large Codiert\strut}, axis y line*=left,
+ xtick={0,32,64,96},
+ width=\plotwidth,height=\plotheight]
+ \addplot[color=black!60!green,line width=1pt]
+ table[col sep=comma]
+ {tikz/codiert.txt};
+ \end{axis}
+ \marke{2}
+ \draw[->,line width=1pt] (3,-0.4) -- node[right] {Übertragung} (3,-2.2);
+\end{scope}
+
+\definecolor{pink}{rgb}{0.6,0.2,1}
+
+\begin{scope}[xshift=-\xverschiebung,yshift=\yverschiebung]
+ \fill[color=pink!20] (4.65,0.35) ellipse (1.1cm and 0.5cm);
+ \begin{axis}[title = {\large Decodiert\strut},
+ xtick={0,32,64,96},
+ width=\plotwidth,height=\plotheight]
+ \addplot[blue,line width=1pt]
+ table[col sep=comma] {tikz/decodiert.txt};
+ \end{axis}
+ \marke{4}
+ \draw[color=pink] (4.65,0.35) ellipse (1.1cm and 0.5cm);
+ \draw[->,color=pink,line width=1pt]
+ (4.65,-0.15) to[out=-90,in=90] (3,-2.2);
+\end{scope}
+
+\begin{scope}[xshift=\xverschiebung,yshift=\yverschiebung]
+ \begin{axis}[title = {\large Empfangen {\color{red} mit Fehler}\strut},
+ xtick={0,96},
+ axis y line*=left,
+ width=\plotwidth,height=\plotheight]
+ \addplot[color=black!60!green,line width=1pt]
+ table[col sep=comma]
+ {tikz/empfangen.txt};
+ \end{axis}
+ \begin{axis}[xtick={6,20,74}, axis y line*=right,
+ width=\plotwidth,height=\plotheight]
+ \addplot[red,line width=1pt]
+ table[col sep=comma] {tikz/fehler.txt};
+ \end{axis}
+ \marke{3}
+\end{scope}
+
+\begin{scope}[xshift=-\xverschiebung,yshift=\yyverschiebung]
+ \begin{axis}[title = {\large \color{pink}Syndrom\strut},
+ xtick={0,32,64,96},
+ width=\plotwidth,height=\plotheight]
+ \addplot[pink,line width=1pt]
+ table[col sep=comma] {tikz/syndrom.txt};
+ \end{axis}
+ \marke{5}
+\end{scope}
+
+\begin{scope}[xshift=\xverschiebung,yshift=\yyverschiebung]
+ % Beschriftung Rechts
+ \begin{axis}[axis x line= none, axis y line*=right, ytick={0.3},
+ xtick={0,32,64,96},
+ width=\plotwidth,height=\plotheight]
+ \addplot[color=black!60,line width=1pt] {0.3};
+ \end{axis}
+ \begin{axis}[title = {\large Locator\strut},axis y line*=left,
+ xtick={0,6,20,74,96},
+ width=\plotwidth,height=\plotheight]
+ \addplot[gray,line width=1pt]
+ table[col sep=comma] {tikz/locator.txt};
+ \end{axis}
+ \marke{6}
+\end{scope}
+
+% Fourier-Transformations-Pfeile
+
+\draw[->,line width=1pt] (1.8,2) -- node[above] {DFT\strut} (3.8,2);
+
+\begin{scope}[yshift=\yverschiebung]
+\draw[<-,line width=1pt] (1.8,2) -- node[above] {DFT$\mathstrut^{-1}$} (3.8,2);
+\end{scope}
+
+\begin{scope}[yshift=\yyverschiebung]
+\draw[->,line width=1pt] (1.8,2) -- node[above] {DFT\strut} (3.8,2);
+\end{scope}
+
+\end{tikzpicture}
+\end{document}