Merge pull request #44 from JODBaer/Baer

Baer

9 files changed, 810 insertions, 0 deletions

diff --git a/buch/papers/reedsolomon/images/codiert.txt b/buch/papers/reedsolomon/images/codiert.txt
new file mode 100644
index 0000000..4a481d8
--- /dev/null
+++ b/buch/papers/reedsolomon/images/codiert.txt
@@ -0,0 +1,96 @@
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diff --git a/buch/papers/reedsolomon/images/decodiert.txt b/buch/papers/reedsolomon/images/decodiert.txt
new file mode 100644
index 0000000..f6221e6
--- /dev/null
+++ b/buch/papers/reedsolomon/images/decodiert.txt
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diff --git a/buch/papers/reedsolomon/images/empfangen.txt b/buch/papers/reedsolomon/images/empfangen.txt
new file mode 100644
index 0000000..38c13b0
--- /dev/null
+++ 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
new file mode 100644
index 0000000..23f1a83
--- /dev/null
+++ b/buch/papers/reedsolomon/images/fehler.txt
@@ -0,0 +1,96 @@
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diff --git a/buch/papers/reedsolomon/images/locator.txt b/buch/papers/reedsolomon/images/locator.txt
new file mode 100644
index 0000000..b28988c
--- /dev/null
+++ b/buch/papers/reedsolomon/images/locator.txt
@@ -0,0 +1,96 @@
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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/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 @@
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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 @@
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