update

2 files changed, 120 insertions, 45 deletions

diff --git a/buch/papers/reedsolomon/images/plotfft.tex b/buch/papers/reedsolomon/images/plotfft.tex
new file mode 100644
index 0000000..e6d3b47
--- /dev/null
+++ b/buch/papers/reedsolomon/images/plotfft.tex
@@ -0,0 +1,77 @@
+%
+% Plot der èbertrangungsabfolge ins FFT und zurück mit IFFT
+%
+\tikzset{
+	node/.style={rectangle, draw=black!100, thick, on grid}, % on grid added
+	dangling node/.style={node, fill=black!30}
+}
+\begin{tikzpicture}[]
+
+%---------------------------------------------------------------
+	%Knote
+\matrix[draw = none, column sep=20mm, row sep=20mm]{
+	\node(signal)  []    {
+	\begin{tikzpicture}
+		\begin{axis}[title = {\Large {Signal}}]
+			\addplot[] 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[] table[col sep=comma] {fehler.txt};
+		\end{axis}
+	\end{tikzpicture}};\\
+	
+	\node(decodiert) []    {
+	\begin{tikzpicture}
+		\begin{axis}[title = {\Large {Decodiert}}]
+			\addplot[] 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[] 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] (0,15) to (0,-15);
+	\node(FFT)  [ scale=0.7]  at (0,15.3)   {FFT IFFT};
+	
+	%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);
+	
+ \end{tikzpicture}
\ No newline at end of file
diff --git a/buch/papers/reedsolomon/images/polynom2.tex b/buch/papers/reedsolomon/images/polynom2.tex
index 4fdfc81..288b51c 100644
--- a/buch/papers/reedsolomon/images/polynom2.tex
+++ b/buch/papers/reedsolomon/images/polynom2.tex
@@ -1,51 +1,49 @@
-% polynome2
+% polynome
 %-------------------
-%\documentclass[tikz]{standalone}
-%\usepackage{amsmath}
-%\usepackage{times}
-%\usepackage{txfonts}
-%\usepackage{pgfplots}
-%\usepackage{csvsimple}
-%\usetikzlibrary{arrows,intersections,math}
+% Teiler für das Skalieren der Grafik /40
 \newcommand{\teiler}{40}
-%\begin{document}
-	Übertragen von den Zahlen 
-	\textcolor{blue}{2}, \textcolor{blue}{1}, \textcolor{blue}{5} 
-	als $ p(x) = \textcolor{blue}{2}x^2 + \textcolor{blue}{1}x + \textcolor{blue}{5} $.\newline
-	Versende $ (p(1),p(2),...,p(7)) = (\textcolor{green}{8}, 
-		\textcolor{green}{15}, \textcolor{green}{26},
-		\textcolor{green}{ 41}, \textcolor{green}{60}, 
-		\textcolor{green}{83}, \textcolor{green}{110})$
+
+
+%//////////////////////////////////////
+
+\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});
 	
-	\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];
-		}
-		\punkt{(1,8/\teiler)}
-		%\punkt{(2,15/\teiler)}
-		%\punkt{(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},{(0.1958*\x^2-1.2875*\x+3.0417)});
-		\def\erpunkt#1{
-			\fill[color=red] #1 circle[radius=0.08];
-			\draw #1 circle[radius=0.07];
-		}
-		\erpunkt{(2,50/\teiler)}
-		\erpunkt{(3,0.9414)}
+	\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}
+	\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}