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authorNao Pross <np@0hm.ch>2021-07-23 09:20:42 +0200
committerNao Pross <np@0hm.ch>2021-07-23 09:20:42 +0200
commitf38cdd26c3f59b1707bc06ce98b11d6d7e4ee0a1 (patch)
tree91de33eb69f54ffc21c5559a100497912f541359 /buch/papers/reedsolomon/experiments
parentChange crystal restriction to theorem style with proof (diff)
parentadd new ziel environment (diff)
downloadSeminarMatrizen-f38cdd26c3f59b1707bc06ce98b11d6d7e4ee0a1.tar.gz
SeminarMatrizen-f38cdd26c3f59b1707bc06ce98b11d6d7e4ee0a1.zip
Merge remote-tracking branch 'upstream/master'
Diffstat (limited to '')
-rw-r--r--buch/papers/reedsolomon/experiments/codiert.txt96
-rw-r--r--buch/papers/reedsolomon/experiments/decodiert.txt96
-rw-r--r--buch/papers/reedsolomon/experiments/empfangen.txt96
-rw-r--r--buch/papers/reedsolomon/experiments/f.m21
-rw-r--r--buch/papers/reedsolomon/experiments/fehler.txt96
-rw-r--r--buch/papers/reedsolomon/experiments/locator.txt96
-rw-r--r--buch/papers/reedsolomon/experiments/plot.tex103
-rw-r--r--buch/papers/reedsolomon/experiments/signal.txt96
-rw-r--r--buch/papers/reedsolomon/experiments/syndrom.txt96
9 files changed, 791 insertions, 5 deletions
diff --git a/buch/papers/reedsolomon/experiments/codiert.txt b/buch/papers/reedsolomon/experiments/codiert.txt
new file mode 100644
index 0000000..4a481d8
--- /dev/null
+++ b/buch/papers/reedsolomon/experiments/codiert.txt
@@ -0,0 +1,96 @@
+0,284
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diff --git a/buch/papers/reedsolomon/experiments/decodiert.txt b/buch/papers/reedsolomon/experiments/decodiert.txt
new file mode 100644
index 0000000..f6221e6
--- /dev/null
+++ b/buch/papers/reedsolomon/experiments/decodiert.txt
@@ -0,0 +1,96 @@
+0,6.05208333333333
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diff --git a/buch/papers/reedsolomon/experiments/empfangen.txt b/buch/papers/reedsolomon/experiments/empfangen.txt
new file mode 100644
index 0000000..38c13b0
--- /dev/null
+++ b/buch/papers/reedsolomon/experiments/empfangen.txt
@@ -0,0 +1,96 @@
+0,284
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diff --git a/buch/papers/reedsolomon/experiments/f.m b/buch/papers/reedsolomon/experiments/f.m
index 6bdc741..bf2587c 100644
--- a/buch/papers/reedsolomon/experiments/f.m
+++ b/buch/papers/reedsolomon/experiments/f.m
@@ -1,8 +1,8 @@
-#
-# f.m -- Reed-Solomon-Visualisierung mit FFT
-#
-# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
-#
+%
+% f.m -- Reed-Solomon-Visualisierung mit FFT
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+
N = 64;
b = 32;
l = N + b;
@@ -51,6 +51,7 @@ syndrom(1:N,1) = zeros(N,1)
plot(abs(syndrom));
xlim([1, l]);
title("Syndrom");
+
pause()
locator = abs(fft(syndrom))
@@ -59,3 +60,13 @@ plot(locator);
xlim([1, l]);
title("Locator");
pause()
+
+
+writematrix([transpose(counter), abs(signal)], 'signal.txt')
+writematrix([transpose(counter), abs(codiert)], 'codiert.txt')
+writematrix([transpose(counter), fehler], 'fehler.txt')
+writematrix([transpose(counter), abs(empfangen)], 'empfangen.txt')
+writematrix([transpose(counter), abs(decodiert)], 'decodiert.txt')
+writematrix([transpose(counter), abs(syndrom)], 'syndrom.txt')
+writematrix([transpose(counter), locator], 'locator.txt')
+
diff --git a/buch/papers/reedsolomon/experiments/fehler.txt b/buch/papers/reedsolomon/experiments/fehler.txt
new file mode 100644
index 0000000..23f1a83
--- /dev/null
+++ b/buch/papers/reedsolomon/experiments/fehler.txt
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diff --git a/buch/papers/reedsolomon/experiments/locator.txt b/buch/papers/reedsolomon/experiments/locator.txt
new file mode 100644
index 0000000..b28988c
--- /dev/null
+++ b/buch/papers/reedsolomon/experiments/locator.txt
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diff --git a/buch/papers/reedsolomon/experiments/plot.tex b/buch/papers/reedsolomon/experiments/plot.tex
new file mode 100644
index 0000000..2196c82
--- /dev/null
+++ b/buch/papers/reedsolomon/experiments/plot.tex
@@ -0,0 +1,103 @@
+% polynome1
+%-------------------
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usepackage{pgfplotstable}
+\usepackage{filecontents}
+\usetikzlibrary{arrows,intersections,math}
+\newcommand{\x}{10}
+\newcommand{\y}{-8}
+\begin{document}
+
+\begin{tikzpicture}[]
+
+ %---------------------------------------------------------------
+ %Knote
+ \matrix[draw = none, column sep=20mm, row sep=4mm]{
+ \node(signal) [] {
+ \begin{tikzpicture}
+ \begin{axis}[
+ title = {\Large {Signal}},
+ xlabel={Anzahl Übertragene Zahlen},
+ xtick={0,20,40,64,80,98},]
+ \addplot[blue] table[col sep=comma] {signal.txt};
+ \end{axis}
+ \end{tikzpicture}}; &
+
+ \node(codiert) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Codiert}}]
+ \addplot[] table[col sep=comma] {codiert.txt};
+ \end{axis}
+ \end{tikzpicture}}; \\
+
+ &\node(fehler) [] {
+ \begin{tikzpicture}
+ \begin{axis}[scale=0.6, title = {\Large {Fehler}}]
+ \addplot[red] table[col sep=comma] {fehler.txt};
+ \end{axis}
+ \end{tikzpicture}};\\
+
+ \node(decodiert) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Decodiert}}]
+ \addplot[blue] table[col sep=comma] {decodiert.txt};
+ \end{axis}
+ \end{tikzpicture}}; &
+
+ \node(empfangen) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Empfangen}}]
+ \addplot[] table[col sep=comma] {empfangen.txt};
+ \end{axis}
+ \end{tikzpicture}};\\
+
+ \node(syndrom) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Syndrom}}]
+ \addplot[blue] table[col sep=comma] {syndrom.txt};
+ \end{axis}
+ \end{tikzpicture}}; &
+
+ \node(locator) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Locator}}]
+ \addplot[] table[col sep=comma] {locator.txt};
+ \end{axis}
+ \end{tikzpicture}};\\
+ };
+ %-------------------------------------------------------------
+ %FFT & IFFT deskription
+
+ \draw[thin,gray,dashed] (0,12) to (0,-12);
+ \node(IFFT) [scale=0.7] at (0,12.3) {IFFT};
+ \draw[<-](IFFT.south west)--(IFFT.south east);
+ \node(FFT) [scale=0.7, above of=IFFT] {FFT};
+ \draw[->](FFT.north west)--(FFT.north east);
+
+ \draw[thick, ->,] (fehler.west)++(-1,0) +(0.05,0.5) -- +(-0.1,-0.1) -- +(0.1,0.1) -- +(0,-0.5);
+ %Arrows
+ \draw[ultra thick, ->] (signal.east) to (codiert.west);
+ \draw[ultra thick, ->] (codiert.south) to (fehler.north);
+ \draw[ultra thick, ->] (fehler.south) to (empfangen.north);
+ \draw[ultra thick, ->] (empfangen.west) to (decodiert.east);
+ \draw[ultra thick, ->] (syndrom.east) to (locator.west);
+ \draw(decodiert.south east)++(-1.8,1) ellipse (1.3cm and 0.8cm) ++(-1.3,0) coordinate(zoom) ;
+ \draw[ultra thick, ->] (zoom) to[out=180, in=90] (syndrom.north);
+
+ %item
+ \node[circle, draw, fill =lightgray] at (signal.north west)+(1,0) {1};
+ \node[circle, draw, fill =lightgray] at (codiert.north west) {2};
+ \node[circle, draw, fill =lightgray] at (fehler.north west) {3};
+ \node[circle, draw, fill =lightgray] at (empfangen.north west) {4};
+ \node[circle, draw, fill =lightgray] at (decodiert.north west) {5};
+ \node[circle, draw, fill =lightgray] at (syndrom.north west) {6};
+ \node[circle, draw, fill =lightgray] at (locator.north west) {7};
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/papers/reedsolomon/experiments/signal.txt b/buch/papers/reedsolomon/experiments/signal.txt
new file mode 100644
index 0000000..c4fa5f8
--- /dev/null
+++ b/buch/papers/reedsolomon/experiments/signal.txt
@@ -0,0 +1,96 @@
+0,6
+1,6
+2,0
+3,6
+4,4
+5,0
+6,5
+7,2
+8,1
+9,2
+10,1
+11,2
+12,0
+13,6
+14,3
+15,5
+16,7
+17,5
+18,5
+19,4
+20,1
+21,5
+22,9
+23,9
+24,3
+25,2
+26,6
+27,6
+28,4
+29,2
+30,9
+31,1
+32,1
+33,1
+34,2
+35,6
+36,6
+37,1
+38,9
+39,7
+40,7
+41,1
+42,9
+43,9
+44,10
+45,9
+46,8
+47,5
+48,2
+49,4
+50,1
+51,0
+52,9
+53,3
+54,3
+55,3
+56,5
+57,6
+58,0
+59,8
+60,6
+61,9
+62,3
+63,4
+64,0
+65,0
+66,0
+67,0
+68,0
+69,0
+70,0
+71,0
+72,0
+73,0
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+86,0
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+90,0
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+92,0
+93,0
+94,0
+95,0
diff --git a/buch/papers/reedsolomon/experiments/syndrom.txt b/buch/papers/reedsolomon/experiments/syndrom.txt
new file mode 100644
index 0000000..8ca9eed
--- /dev/null
+++ b/buch/papers/reedsolomon/experiments/syndrom.txt
@@ -0,0 +1,96 @@
+0,0
+1,0
+2,0
+3,0
+4,0
+5,0
+6,0
+7,0
+8,0
+9,0
+10,0
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+14,0
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+23,0
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+31,0
+32,0
+33,0
+34,0
+35,0
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+37,0
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+43,0
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+47,0
+48,0
+49,0
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+52,0
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+54,0
+55,0
+56,0
+57,0
+58,0
+59,0
+60,0
+61,0
+62,0
+63,0
+64,0.0275599094902563
+65,0.0115837187254191
+66,0.025877761014238
+67,0.0224618032819697
+68,0.04410594689944
+69,0.0474504002669341
+70,0.0227694695500626
+71,0.0271436638090525
+72,0.0104166666666667
+73,0.0271436638090523
+74,0.0227694695500608
+75,0.0474504002669343
+76,0.0441059468994397
+77,0.0224618032819701
+78,0.0258777610142379
+79,0.0115837187254183
+80,0.027559909490256
+81,0.0245124379481793
+82,0.0499782237195209
+83,0.0401432022864265
+84,0.0232923747656228
+85,0.0237974288564099
+86,0.0143895905726624
+87,0.0271745729691685
+88,0.0275599094902567
+89,0.0515501672184983
+90,0.0358255004834542
+91,0.024700508366373
+92,0.0210194725405171
+93,0.0177592928994296
+94,0.0261327016093158
+95,0.0314909067039411