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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/images
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/images/Compact_Disc.pngbin0 -> 938930 bytes
-rw-r--r--buch/papers/reedsolomon/images/Voyager_Sonde.pngbin0 -> 272068 bytes
-rw-r--r--buch/papers/reedsolomon/images/codiert.txt96
-rw-r--r--buch/papers/reedsolomon/images/decodiert.txt96
-rw-r--r--buch/papers/reedsolomon/images/designer_qrcode.pngbin0 -> 163253 bytes
-rw-r--r--buch/papers/reedsolomon/images/designer_qrcode_ohnelogo.pngbin0 -> 133792 bytes
-rw-r--r--buch/papers/reedsolomon/images/empfangen.txt96
-rw-r--r--buch/papers/reedsolomon/images/fehler.txt96
-rw-r--r--buch/papers/reedsolomon/images/locator.txt96
-rw-r--r--buch/papers/reedsolomon/images/plotfft.tex89
-rw-r--r--buch/papers/reedsolomon/images/polynom2.tex49
-rw-r--r--buch/papers/reedsolomon/images/qrcode_h.pngbin0 -> 840 bytes
-rw-r--r--buch/papers/reedsolomon/images/qrcode_l.pngbin0 -> 608 bytes
-rw-r--r--buch/papers/reedsolomon/images/signal.txt96
-rw-r--r--buch/papers/reedsolomon/images/syndrom.txt96
15 files changed, 810 insertions, 0 deletions
diff --git a/buch/papers/reedsolomon/images/Compact_Disc.png b/buch/papers/reedsolomon/images/Compact_Disc.png
new file mode 100644
index 0000000..7e3f870
--- /dev/null
+++ b/buch/papers/reedsolomon/images/Compact_Disc.png
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diff --git a/buch/papers/reedsolomon/images/Voyager_Sonde.png b/buch/papers/reedsolomon/images/Voyager_Sonde.png
new file mode 100644
index 0000000..e4dc400
--- /dev/null
+++ b/buch/papers/reedsolomon/images/Voyager_Sonde.png
Binary files differ
diff --git a/buch/papers/reedsolomon/images/codiert.txt b/buch/papers/reedsolomon/images/codiert.txt
new file mode 100644
index 0000000..4a481d8
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diff --git a/buch/papers/reedsolomon/images/decodiert.txt b/buch/papers/reedsolomon/images/decodiert.txt
new file mode 100644
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diff --git a/buch/papers/reedsolomon/images/designer_qrcode.png b/buch/papers/reedsolomon/images/designer_qrcode.png
new file mode 100644
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--- /dev/null
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Binary files differ
diff --git a/buch/papers/reedsolomon/images/designer_qrcode_ohnelogo.png b/buch/papers/reedsolomon/images/designer_qrcode_ohnelogo.png
new file mode 100644
index 0000000..fe4251d
--- /dev/null
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diff --git a/buch/papers/reedsolomon/images/empfangen.txt b/buch/papers/reedsolomon/images/empfangen.txt
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diff --git a/buch/papers/reedsolomon/images/fehler.txt b/buch/papers/reedsolomon/images/fehler.txt
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diff --git a/buch/papers/reedsolomon/images/locator.txt b/buch/papers/reedsolomon/images/locator.txt
new file mode 100644
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diff --git a/buch/papers/reedsolomon/images/plotfft.tex b/buch/papers/reedsolomon/images/plotfft.tex
new file mode 100644
index 0000000..83a89eb
--- /dev/null
+++ b/buch/papers/reedsolomon/images/plotfft.tex
@@ -0,0 +1,89 @@
+%
+% Plot der Übertrangungsabfolge ins FFT und zurück mit IFFT
+%
+\begin{tikzpicture}[]
+
+%---------------------------------------------------------------
+ %Knote
+\matrix[draw = none, column sep=25mm, row sep=2mm]{
+ \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] {papers/reedsolomon/images/signal.txt};
+ \end{axis}
+ \end{tikzpicture}}; &
+
+ \node(codiert) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Codiert}}]
+ \addplot[] table[col sep=comma] {papers/reedsolomon/images/codiert.txt};
+ \end{axis}
+ \end{tikzpicture}}; \\
+
+ &\node(fehler) [] {
+ \begin{tikzpicture}
+ \begin{axis}[scale=0.6, title = {\Large {Fehler}},
+ xtick={7,21,75}]
+ \addplot[red] table[col sep=comma] {papers/reedsolomon/images/fehler.txt};
+ \end{axis}
+ \end{tikzpicture}};\\
+
+ \node(decodiert) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Decodiert}}]
+ \addplot[blue] table[col sep=comma] {papers/reedsolomon/images/decodiert.txt};
+ \end{axis}
+ \end{tikzpicture}}; &
+
+ \node(empfangen) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Empfangen}}]
+ \addplot[] table[col sep=comma] {papers/reedsolomon/images/empfangen.txt};
+ \end{axis}
+ \end{tikzpicture}};\\
+
+ \node(syndrom) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Syndrom}}]
+ \addplot[blue] table[col sep=comma] {papers/reedsolomon/images/syndrom.txt};
+ \end{axis}
+ \end{tikzpicture}}; &
+
+ \node(locator) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Locator}}]
+ \addplot[] table[col sep=comma] {papers/reedsolomon/images/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};
+\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} \ No newline at end of file
diff --git a/buch/papers/reedsolomon/images/polynom2.tex b/buch/papers/reedsolomon/images/polynom2.tex
new file mode 100644
index 0000000..288b51c
--- /dev/null
+++ b/buch/papers/reedsolomon/images/polynom2.tex
@@ -0,0 +1,49 @@
+% polynome
+%-------------------
+% Teiler für das Skalieren der Grafik /40
+\newcommand{\teiler}{40}
+
+
+%//////////////////////////////////////
+
+\begin{tikzpicture}[>=latex,thick]
+ \draw[color=blue, line width=1.4pt]
+ plot[domain=0:8, samples=100]
+ ({\x},{(2*\x^2+1*\x+5)/\teiler});
+
+ \draw[->] (-0.2,0) -- (8,0) coordinate[label={$x$}];
+ \draw[->] (0,-0.2) -- (0,150/\teiler) coordinate[label={right:$p(x)$}];
+
+ \def\punkt#1{
+ \fill[color=green] #1 circle[radius=0.08];
+ \draw #1 circle[radius=0.07];
+ }
+
+ \def\hellpunkt#1{
+ \fill[color=lightgray] #1 circle[radius=0.08];
+ \draw #1 circle[radius=0.07];
+ }
+
+ \punkt{(1,8/\teiler)}
+ \hellpunkt{(2,15/\teiler)}
+ \hellpunkt{(3,26/\teiler)}
+ \punkt{(4,41/\teiler)}
+ \punkt{(5,60/\teiler)}
+ \punkt{(6,83/\teiler)}
+ \punkt{(7,110/\teiler)}
+
+ \draw[color=gray,line width=1pt,dashed]
+ plot[domain=0.5:7, samples=100]
+ ({\x},{(7.832*\x^2-51.5*\x+121.668)/\teiler});
+
+ \def\erpunkt#1{
+ \fill[color=red] #1 circle[radius=0.08];
+ \draw #1 circle[radius=0.07];
+ }
+ \erpunkt{(2,50/\teiler)}
+ \erpunkt{(3,37.66/\teiler)}
+
+ \draw(0,100/\teiler) -- (-0.1,100/\teiler) coordinate[label={left:$100$}];
+ \draw(1,0) -- (1,-0.1) coordinate[label={below:$1$}];
+\end{tikzpicture}
+%\end{document}
diff --git a/buch/papers/reedsolomon/images/qrcode_h.png b/buch/papers/reedsolomon/images/qrcode_h.png
new file mode 100644
index 0000000..4dc5779
--- /dev/null
+++ b/buch/papers/reedsolomon/images/qrcode_h.png
Binary files differ
diff --git a/buch/papers/reedsolomon/images/qrcode_l.png b/buch/papers/reedsolomon/images/qrcode_l.png
new file mode 100644
index 0000000..69f807f
--- /dev/null
+++ b/buch/papers/reedsolomon/images/qrcode_l.png
Binary files differ
diff --git a/buch/papers/reedsolomon/images/signal.txt b/buch/papers/reedsolomon/images/signal.txt
new file mode 100644
index 0000000..c4fa5f8
--- /dev/null
+++ b/buch/papers/reedsolomon/images/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
+74,0
+75,0
+76,0
+77,0
+78,0
+79,0
+80,0
+81,0
+82,0
+83,0
+84,0
+85,0
+86,0
+87,0
+88,0
+89,0
+90,0
+91,0
+92,0
+93,0
+94,0
+95,0
diff --git a/buch/papers/reedsolomon/images/syndrom.txt b/buch/papers/reedsolomon/images/syndrom.txt
new file mode 100644
index 0000000..8ca9eed
--- /dev/null
+++ b/buch/papers/reedsolomon/images/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
+11,0
+12,0
+13,0
+14,0
+15,0
+16,0
+17,0
+18,0
+19,0
+20,0
+21,0
+22,0
+23,0
+24,0
+25,0
+26,0
+27,0
+28,0
+29,0
+30,0
+31,0
+32,0
+33,0
+34,0
+35,0
+36,0
+37,0
+38,0
+39,0
+40,0
+41,0
+42,0
+43,0
+44,0
+45,0
+46,0
+47,0
+48,0
+49,0
+50,0
+51,0
+52,0
+53,0
+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