Merge remote-tracking branch 'upstream/master'

11 files changed, 245 insertions, 10 deletions

diff --git a/buch/papers/reedsolomon/experiments/codiert.txt b/buch/papers/reedsolomon/tikz/codiert.txt
index 4a481d8..4a481d8 100644
--- a/buch/papers/reedsolomon/experiments/codiert.txt
+++ b/buch/papers/reedsolomon/tikz/codiert.txt
diff --git a/buch/papers/reedsolomon/experiments/decodiert.txt b/buch/papers/reedsolomon/tikz/decodiert.txt
index f6221e6..f6221e6 100644
--- a/buch/papers/reedsolomon/experiments/decodiert.txt
+++ b/buch/papers/reedsolomon/tikz/decodiert.txt
diff --git a/buch/papers/reedsolomon/experiments/empfangen.txt b/buch/papers/reedsolomon/tikz/empfangen.txt
index 38c13b0..38c13b0 100644
--- a/buch/papers/reedsolomon/experiments/empfangen.txt
+++ b/buch/papers/reedsolomon/tikz/empfangen.txt
diff --git a/buch/papers/reedsolomon/experiments/fehler.txt b/buch/papers/reedsolomon/tikz/fehler.txt
index 23f1a83..23f1a83 100644
--- a/buch/papers/reedsolomon/experiments/fehler.txt
+++ b/buch/papers/reedsolomon/tikz/fehler.txt
diff --git a/buch/papers/reedsolomon/experiments/locator.txt b/buch/papers/reedsolomon/tikz/locator.txt
index b28988c..b28988c 100644
--- a/buch/papers/reedsolomon/experiments/locator.txt
+++ b/buch/papers/reedsolomon/tikz/locator.txt
diff --git a/buch/papers/reedsolomon/tikz/plotfft.tex b/buch/papers/reedsolomon/tikz/plotfft.tex
new file mode 100644
index 0000000..bb74dfb
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/plotfft.tex
@@ -0,0 +1,94 @@
+%
+% Plot der Übertrangungsabfolge ins FFT und zurück mit IFFT
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{pgfplots}
+\usepackage{pgfplotstable}
+\usepackage{csvsimple}
+\usepackage{filecontents}
+
+
+\begin{document}
+\begin{tikzpicture}[]
+
+	%---------------------------------------------------------------
+	%Knote
+	\matrix(m) [draw = none, column sep=25mm, row sep=2mm]{
+
+		\node(signal)  []    {
+		\begin{tikzpicture}
+			\begin{axis}
+				[title = {\Large {Signal}}, 
+				xtick={0,20,40,64,80,98}]
+				\addplot[blue] table[col sep=comma] {tikz/signal.txt};
+			\end{axis}
+		\end{tikzpicture}}; &
+		
+		\node(codiert) []    {
+		\begin{tikzpicture}[]
+			\begin{axis}[ title = {\Large {Codiert \space + \space Fehler}},
+				xtick={0,40,60,100}, axis y line*=left]
+				\addplot[green] table[col sep=comma] {tikz/codiert.txt};
+			\end{axis}
+			\begin{axis}[xtick={7,21,75}, axis y line*=right]
+					\addplot[red] table[col sep=comma] {tikz/fehler.txt};
+			\end{axis}
+		\end{tikzpicture}}; \\
+		
+		\node(decodiert) []    {
+		\begin{tikzpicture}
+			\begin{axis}[title = {\Large {Decodiert}}]
+				\addplot[blue] table[col sep=comma] {tikz/decodiert.txt};
+			\end{axis}
+		\end{tikzpicture}}; &
+	
+		\node(empfangen) []    {
+		\begin{tikzpicture}
+			\begin{axis}[title = {\Large {Empfangen}}]
+				\addplot[green] table[col sep=comma] {tikz/empfangen.txt};
+			\end{axis}
+		\end{tikzpicture}};\\
+	
+		\node(syndrom) []   {
+		\begin{tikzpicture}
+			\begin{axis}[title = {\Large {Syndrom}}]
+				\addplot[black] table[col sep=comma] {tikz/syndrom.txt};
+			\end{axis}
+		\end{tikzpicture}}; &
+	
+		\node(locator) []    {
+		\begin{tikzpicture}
+			\begin{axis}[title = {\Large {Locator}}]
+				\addplot[gray] table[col sep=comma] {tikz/locator.txt};
+			\end{axis}
+		\end{tikzpicture}};\\
+	};
+	%-------------------------------------------------------------
+		%FFT & IFFT deskription
+	
+	\draw[thin,gray,dashed] (0,9) to (0,-9);
+	\node(IFFT)  [scale=0.9]  at (0,9.3)   {IFFT};
+	\draw[stealth-](IFFT.south west)--(IFFT.south east);
+	\node(FFT)  [scale=0.9, above of=IFFT]    {FFT};
+	\draw[-stealth](FFT.north west)--(FFT.north east);
+	
+	\draw[thick, ->,] (codiert)++(-1,0) +(0.05,0.5) -- +(-0.1,-0.1) -- +(0.1,0.1) -- +(0,-0.5);
+	%Arrows
+	\draw[thick, ->] (signal.east) to (codiert.west);
+	\draw[thick, ->] (codiert.south) to (empfangen.north);
+	\draw[thick, ->] (empfangen.west) to (decodiert.east);
+	\draw[thick, ->] (syndrom.east) to (locator.west);
+	\draw[thick](decodiert.south east)++(-1.8,1)  ellipse (1.3cm and 0.8cm) ++(-1.3,0) coordinate(zoom) ;
+	\draw[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+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}
\ No newline at end of file
diff --git a/buch/papers/reedsolomon/tikz/plotfftraw.tex b/buch/papers/reedsolomon/tikz/plotfftraw.tex
new file mode 100644
index 0000000..141d2ce
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/plotfftraw.tex
@@ -0,0 +1,80 @@
+\begin{tikzpicture}[]
+
+	%---------------------------------------------------------------
+	%Knote
+	\matrix(m) [draw = none, column sep=25mm, row sep=2mm]{
+
+		\node(signal)  []    {
+		\begin{tikzpicture}
+			\begin{axis}
+				[title = {\Large {Signal}}, 
+				xtick={0,20,40,64,80,98}]
+				\addplot[blue] table[col sep=comma] {tikz/signal.txt};
+			\end{axis}
+		\end{tikzpicture}}; &
+		
+		\node(codiert) []    {
+		\begin{tikzpicture}[]
+			\begin{axis}[ title = {\Large {Codiert \space + \space Fehler}},
+				xtick={0,40,60,100}, axis y line*=left]
+				\addplot[green] table[col sep=comma] {tikz/codiert.txt};
+			\end{axis}
+			\begin{axis}[xtick={7,21,75}, axis y line*=right]
+					\addplot[red] table[col sep=comma] {tikz/fehler.txt};
+			\end{axis}
+		\end{tikzpicture}}; \\
+		
+		\node(decodiert) []    {
+		\begin{tikzpicture}
+			\begin{axis}[title = {\Large {Decodiert}}]
+				\addplot[blue] table[col sep=comma] {tikz/decodiert.txt};
+			\end{axis}
+		\end{tikzpicture}}; &
+	
+		\node(empfangen) []    {
+		\begin{tikzpicture}
+			\begin{axis}[title = {\Large {Empfangen}}]
+				\addplot[green] table[col sep=comma] {tikz/empfangen.txt};
+			\end{axis}
+		\end{tikzpicture}};\\
+	
+		\node(syndrom) []   {
+		\begin{tikzpicture}
+			\begin{axis}[title = {\Large {Syndrom}}]
+				\addplot[black] table[col sep=comma] {tikz/syndrom.txt};
+			\end{axis}
+		\end{tikzpicture}}; &
+	
+		\node(locator) []    {
+		\begin{tikzpicture}
+			\begin{axis}[title = {\Large {Locator}}]
+				\addplot[gray] table[col sep=comma] {tikz/locator.txt};
+			\end{axis}
+		\end{tikzpicture}};\\
+	};
+	%-------------------------------------------------------------
+		%FFT & IFFT deskription
+	
+	\draw[thin,gray,dashed] (0,9) to (0,-9);
+	\node(IFFT)  [scale=0.9]  at (0,9.3)   {IFFT};
+	\draw[stealth-](IFFT.south west)--(IFFT.south east);
+	\node(FFT)  [scale=0.9, above of=IFFT]    {FFT};
+	\draw[-stealth](FFT.north west)--(FFT.north east);
+	
+	\draw[thick, ->,] (codiert)++(-1,0) +(0.05,0.5) -- +(-0.1,-0.1) -- +(0.1,0.1) -- +(0,-0.5);
+	%Arrows
+	\draw[thick, ->] (signal.east) to (codiert.west);
+	\draw[thick, ->] (codiert.south) to (empfangen.north);
+	\draw[thick, ->] (empfangen.west) to (decodiert.east);
+	\draw[thick, ->] (syndrom.east) to (locator.west);
+	\draw[thick](decodiert.south east)++(-1.8,1)  ellipse (1.3cm and 0.8cm) ++(-1.3,0) coordinate(zoom) ;
+	\draw[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+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/tikz/polynom2.tex b/buch/papers/reedsolomon/tikz/polynom2.tex
new file mode 100644
index 0000000..80557fb
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/polynom2.tex
@@ -0,0 +1,60 @@
+% polynome
+%-------------------
+
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{pgfplots}
+
+
+\begin{document}
+% 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[gray] #1 circle[ radius=0.07];
+	}
+	
+	\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});
+
+
+	\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)}
+	
+
+	
+	\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/polynom2.tex b/buch/papers/reedsolomon/tikz/polynomraw.tex
index 288b51c..02968fd 100644
--- a/buch/papers/reedsolomon/images/polynom2.tex
+++ b/buch/papers/reedsolomon/tikz/polynomraw.tex
@@ -1,12 +1,11 @@
-% polynome
-%-------------------
-% Teiler für das Skalieren der Grafik /40
+% polynomraw
+
 \newcommand{\teiler}{40}
 
 
 %//////////////////////////////////////
 
-\begin{tikzpicture}[>=latex,thick]
+\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});
@@ -21,9 +20,14 @@
 
 	\def\hellpunkt#1{
 		\fill[color=lightgray] #1 circle[radius=0.08];
-		\draw #1 circle[radius=0.07];
+		\draw[gray] #1 circle[ radius=0.07];
 	}
 	
+	\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});
+
+
 	\punkt{(1,8/\teiler)}
 	\hellpunkt{(2,15/\teiler)}
 	\hellpunkt{(3,26/\teiler)}
@@ -32,9 +36,7 @@
 	\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];
@@ -45,5 +47,4 @@
 
 	\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}
+\end{tikzpicture}
\ No newline at end of file
diff --git a/buch/papers/reedsolomon/experiments/signal.txt b/buch/papers/reedsolomon/tikz/signal.txt
index c4fa5f8..c4fa5f8 100644
--- a/buch/papers/reedsolomon/experiments/signal.txt
+++ b/buch/papers/reedsolomon/tikz/signal.txt
diff --git a/buch/papers/reedsolomon/experiments/syndrom.txt b/buch/papers/reedsolomon/tikz/syndrom.txt
index 8ca9eed..8ca9eed 100644
--- a/buch/papers/reedsolomon/experiments/syndrom.txt
+++ b/buch/papers/reedsolomon/tikz/syndrom.txt