From f12bfc8392b2f09416fb2171a4dd0107ebe16722 Mon Sep 17 00:00:00 2001
From: JODBaer <JODBaer@github.com>
Date: Mon, 26 Jul 2021 14:17:05 +0200
Subject: update some files too
---
buch/papers/reedsolomon/Makefile | 50 ++++++++++-
buch/papers/reedsolomon/dtf.tex | 29 ++++---
buch/papers/reedsolomon/einleitung.tex | 10 +--
buch/papers/reedsolomon/experiments/plot.tex | 2 +-
buch/papers/reedsolomon/figures/plotfft.pdf | Bin 0 -> 60217 bytes
buch/papers/reedsolomon/figures/polynom2.pdf | Bin 0 -> 20327 bytes
buch/papers/reedsolomon/idee.tex | 13 ++-
buch/papers/reedsolomon/images/codiert.txt | 96 ---------------------
buch/papers/reedsolomon/images/decodiert.txt | 96 ---------------------
buch/papers/reedsolomon/images/empfangen.txt | 96 ---------------------
buch/papers/reedsolomon/images/fehler.txt | 96 ---------------------
buch/papers/reedsolomon/images/locator.txt | 96 ---------------------
buch/papers/reedsolomon/images/plotfft.tex | 89 -------------------
buch/papers/reedsolomon/images/polynom2.tex | 49 -----------
buch/papers/reedsolomon/images/signal.txt | 96 ---------------------
buch/papers/reedsolomon/images/syndrom.txt | 96 ---------------------
buch/papers/reedsolomon/main.tex | 20 -----
buch/papers/reedsolomon/standalone.tex | 30 +++++++
buch/papers/reedsolomon/standalone/standalone.pdf | Bin 0 -> 1782700 bytes
buch/papers/reedsolomon/tikz/codiert.txt | 96 +++++++++++++++++++++
buch/papers/reedsolomon/tikz/decodiert.txt | 96 +++++++++++++++++++++
buch/papers/reedsolomon/tikz/empfangen.txt | 96 +++++++++++++++++++++
buch/papers/reedsolomon/tikz/fehler.txt | 96 +++++++++++++++++++++
buch/papers/reedsolomon/tikz/locator.txt | 96 +++++++++++++++++++++
buch/papers/reedsolomon/tikz/plotfft.tex | 99 ++++++++++++++++++++++
buch/papers/reedsolomon/tikz/polynom2.tex | 57 +++++++++++++
buch/papers/reedsolomon/tikz/signal.txt | 96 +++++++++++++++++++++
buch/papers/reedsolomon/tikz/syndrom.txt | 96 +++++++++++++++++++++
28 files changed, 939 insertions(+), 853 deletions(-)
create mode 100644 buch/papers/reedsolomon/figures/plotfft.pdf
create mode 100644 buch/papers/reedsolomon/figures/polynom2.pdf
delete mode 100644 buch/papers/reedsolomon/images/codiert.txt
delete mode 100644 buch/papers/reedsolomon/images/decodiert.txt
delete mode 100644 buch/papers/reedsolomon/images/empfangen.txt
delete mode 100644 buch/papers/reedsolomon/images/fehler.txt
delete mode 100644 buch/papers/reedsolomon/images/locator.txt
delete mode 100644 buch/papers/reedsolomon/images/plotfft.tex
delete mode 100644 buch/papers/reedsolomon/images/polynom2.tex
delete mode 100644 buch/papers/reedsolomon/images/signal.txt
delete mode 100644 buch/papers/reedsolomon/images/syndrom.txt
create mode 100644 buch/papers/reedsolomon/standalone.tex
create mode 100644 buch/papers/reedsolomon/standalone/standalone.pdf
create mode 100644 buch/papers/reedsolomon/tikz/codiert.txt
create mode 100644 buch/papers/reedsolomon/tikz/decodiert.txt
create mode 100644 buch/papers/reedsolomon/tikz/empfangen.txt
create mode 100644 buch/papers/reedsolomon/tikz/fehler.txt
create mode 100644 buch/papers/reedsolomon/tikz/locator.txt
create mode 100644 buch/papers/reedsolomon/tikz/plotfft.tex
create mode 100644 buch/papers/reedsolomon/tikz/polynom2.tex
create mode 100644 buch/papers/reedsolomon/tikz/signal.txt
create mode 100644 buch/papers/reedsolomon/tikz/syndrom.txt
(limited to 'buch/papers/reedsolomon')
diff --git a/buch/papers/reedsolomon/Makefile b/buch/papers/reedsolomon/Makefile
index 9c96e88..25fd98b 100644
--- a/buch/papers/reedsolomon/Makefile
+++ b/buch/papers/reedsolomon/Makefile
@@ -4,6 +4,52 @@
# (c) 2020 Prof Dr Andreas Mueller
#
-images:
- @echo "no images to be created in reedsolomon"
+SOURCES := \
+ anwendungen.tex \
+ codebsp.tex \
+ decmitfehler.tex \
+ decohnefehler.tex \
+ dtf.tex \
+ einleitung.tex \
+ endlichekoerper.tex \
+ hilfstabellen.tex \
+ idee.tex \
+ main.tex \
+ packages.tex \
+ rekonstruktion.tex \
+ restetabelle1.tex \
+ restetabelle2.tex \
+ standalone.tex \
+ zusammenfassung.tex
+
+TIKZFIGURES := \
+ tikz/polynom2.tex \
+ tikz/plotfft.tex
+
+FIGURES := $(patsubst tikz/%.tex, figures/%.pdf, $(TIKZFIGURES))
+
+
+all: images standalone
+
+
+.PHONY: images
+images: $(FIGURES)
+
+figures/%.pdf: tikz/%.tex
+ mkdir -p figures
+ pdflatex --output-directory=figures $<
+
+.PHONY: standalone
+standalone: standalone.tex $(SOURCES) $(FIGURES)
+ mkdir -p standalone
+ cd ../..; \
+ pdflatex \
+ --halt-on-error \
+ --shell-escape \
+ --output-directory=papers/reedsolomon/standalone \
+ papers/reedsolomon/standalone.tex;
+ cd standalone; \
+ bibtex standalone; \
+ makeindex standalone;
+
diff --git a/buch/papers/reedsolomon/dtf.tex b/buch/papers/reedsolomon/dtf.tex
index a111527..62e44cc 100644
--- a/buch/papers/reedsolomon/dtf.tex
+++ b/buch/papers/reedsolomon/dtf.tex
@@ -14,20 +14,27 @@ wobei sie dann bei späteren Berchnungen ganz nützlich ist.
\subsection{Diskrete Fourientransformation Zusamenhang
\label{reedsolomon:subsection:dtfzusamenhang}}
Die Diskrete Fourientransformation ist definiert als
- \[
- \label{ft_discrete}
+\begin{equation}
\hat{c}_{k}
= \frac{1}{N} \sum_{n=0}^{N-1}
{f}_n \cdot e^{-\frac{2\pi j}{N} \cdot kn}
- \]
+ \label{reedsolomon:DFT}
+\end{equation}
+
, wenn man nun
- \[
- w = e^{-\frac{2\pi j}{N} k}
- \]
+\begin{equation}
+ w =
+ e^{-\frac{2\pi j}{N} k}
+ \label{reedsolomon:DFT_summand}
+\end{equation}
+
ersetzte, und $N$ konstantbleibt, erhält man
- \[
- \hat{c}_{k}=\frac{1}{N}( {f}_0 w^0 + {f}_1 w^1 + {f}_2 w^2 + \dots + {f}_{N-1} w^N)
- \]
+\begin{equation}
+ \hat{c}_{k}=
+ \frac{1}{N}( {f}_0 w^0 + {f}_1 w^1 + {f}_2 w^2 + \dots + {f}_{N-1} w^N)
+ \label{reedsolomon:DFT_polynom}
+\end{equation}
+
was überaust ähnlich zu unserem Polynomidee ist.
\subsection{Übertragungsabfolge
\label{reedsolomon:subsection:Übertragungsabfolge}}
@@ -47,8 +54,8 @@ Das heisst alle information ist in alle Zahlenvorhanden.
\begin{figure}
\centering
\resizebox{0.9\textwidth}{!}{
- %\includegraphics[width=0.5\textwidth]{papers/reedsolomon/images/plot.pdf}
- \input{papers/reedsolomon/images/plotfft.tex}
+ \includegraphics[width=\textwidth]{papers/reedsolomon/figures/plotfft}
+ %\input{papers/reedsolomon/images/plotfft.tex}
}
\caption{Übertragungsabfolge \ref{reedsolomon:subsection:Übertragungsabfolge}}
\label{fig:sendorder}
diff --git a/buch/papers/reedsolomon/einleitung.tex b/buch/papers/reedsolomon/einleitung.tex
index 2b1d878..074df05 100644
--- a/buch/papers/reedsolomon/einleitung.tex
+++ b/buch/papers/reedsolomon/einleitung.tex
@@ -7,13 +7,11 @@
\label{reedsolomon:section:einleitung}}
\rhead{Einleitung}
Der Reed-Solomon-Code ist entstanden um,
-das Problem der Fehler, bei der Datenübertragung, zu lösen.
-In diesem Abschnitt wird möglichst verständlich die mathematische Abfolge, Funktion oder Algorithmus erklärt.
+das Problem der Fehler bei der Datenübertragung, zu lösen.
+In diesem Abschnitt wird möglichst verständlich die mathematische Abfolge,
+Funktion oder Algorithmus des Reed-Solomon-Code erklärt.
Es wird jedoch nicht auf die technische Umsetzung oder Implementierung eingegangen.
-Um beim Datenübertragen Fehler zu erkennen, könnte man die Daten jeweils doppelt senden,
-und so jeweilige Fehler zu erkennen.
-Doch nur schon um weinige Fehler zu erkennen werden überproportional viele Daten doppelt und dreifach gesendet.
-Der Reed-Solomon-Code macht dies auf eine andere, clevere Weise.
+
diff --git a/buch/papers/reedsolomon/experiments/plot.tex b/buch/papers/reedsolomon/experiments/plot.tex
index 2196c82..4b156bb 100644
--- a/buch/papers/reedsolomon/experiments/plot.tex
+++ b/buch/papers/reedsolomon/experiments/plot.tex
@@ -90,7 +90,7 @@
\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 (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};
diff --git a/buch/papers/reedsolomon/figures/plotfft.pdf b/buch/papers/reedsolomon/figures/plotfft.pdf
new file mode 100644
index 0000000..27992c9
Binary files /dev/null and b/buch/papers/reedsolomon/figures/plotfft.pdf differ
diff --git a/buch/papers/reedsolomon/figures/polynom2.pdf b/buch/papers/reedsolomon/figures/polynom2.pdf
new file mode 100644
index 0000000..ae68385
Binary files /dev/null and b/buch/papers/reedsolomon/figures/polynom2.pdf differ
diff --git a/buch/papers/reedsolomon/idee.tex b/buch/papers/reedsolomon/idee.tex
index 39adbbf..e18ccd2 100644
--- a/buch/papers/reedsolomon/idee.tex
+++ b/buch/papers/reedsolomon/idee.tex
@@ -1,15 +1,22 @@
%
-% teil1.tex -- Beispiel-File für das Paper
+% idee.tex -- Beispiel-File für das Paper
%
% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
%
\section{Idee
\label{reedsolomon:section:idee}}
\rhead{Problemstellung}
+Um beim Datenübertragen Fehler zu erkennen, könnte man die Daten jeweils doppelt senden,
+und so jeweilige Fehler zu erkennen.
+Doch nur schon um Fehler zu erkennen werden überproportional viele Daten doppelt und dreifach gesendet.
+Der Reed-Solomon-Code macht dies auf eine andere, clevere Weise.
Das Problem liegt darin Informationen, Zahlen,
zu Übertragen und Fehler zu erkennen.
Beim Reed-Solomon-Code kann man nicht nur Fehler erkennen,
man kann sogar einige Fehler korrigieren.
+Der unterschied des Fehler erkennen und korrigiren, ist das beim Erkennen nur die Frage kommt hat es Fehler oder keine,
+beim korrigieren muss man den Fehler erkennun und dann zusätzlich noch den original Wert rekonstruieren.
+Auch eine variante wäre es die Daten nach einem Fehler einfach nochmals zu senden, was bei Reed-Solomon-Code-Anwendungen nicht immer sinnvolll ist. \ref(reedsolomon:section:anwendung)
\rhead{Polynom-Ansatz}
Eine Idee ist aus den Daten
@@ -48,8 +55,8 @@ Dafür sind mehr übertragene Werte nötig.
\begin{figure}
\centering
- %\includegraphics[width=0.5\textwidth]{papers/reedsolomon/images/polynom2}
- \input{papers/reedsolomon/images/polynom2.tex}
+ \includegraphics[width=\textwidth]{papers/reedsolomon/figures/polynom2}
+ %\input{papers/reedsolomon/images/polynom2.tex}
\caption{Polynom $p(x)$ \eqref{reedsolomon:equation1}}
\label{fig:polynom}
\end{figure}
diff --git a/buch/papers/reedsolomon/images/codiert.txt b/buch/papers/reedsolomon/images/codiert.txt
deleted file mode 100644
index 4a481d8..0000000
--- a/buch/papers/reedsolomon/images/codiert.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,284
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diff --git a/buch/papers/reedsolomon/images/decodiert.txt b/buch/papers/reedsolomon/images/decodiert.txt
deleted file mode 100644
index f6221e6..0000000
--- a/buch/papers/reedsolomon/images/decodiert.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,6.05208333333333
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diff --git a/buch/papers/reedsolomon/images/empfangen.txt b/buch/papers/reedsolomon/images/empfangen.txt
deleted file mode 100644
index 38c13b0..0000000
--- a/buch/papers/reedsolomon/images/empfangen.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,284
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-95,131.570790435043
diff --git a/buch/papers/reedsolomon/images/fehler.txt b/buch/papers/reedsolomon/images/fehler.txt
deleted file mode 100644
index 23f1a83..0000000
--- a/buch/papers/reedsolomon/images/fehler.txt
+++ /dev/null
@@ -1,96 +0,0 @@
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diff --git a/buch/papers/reedsolomon/images/locator.txt b/buch/papers/reedsolomon/images/locator.txt
deleted file mode 100644
index b28988c..0000000
--- a/buch/papers/reedsolomon/images/locator.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,0.0301224340567056
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diff --git a/buch/papers/reedsolomon/images/plotfft.tex b/buch/papers/reedsolomon/images/plotfft.tex
deleted file mode 100644
index 83a89eb..0000000
--- a/buch/papers/reedsolomon/images/plotfft.tex
+++ /dev/null
@@ -1,89 +0,0 @@
-%
-% 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
deleted file mode 100644
index 288b51c..0000000
--- a/buch/papers/reedsolomon/images/polynom2.tex
+++ /dev/null
@@ -1,49 +0,0 @@
-% 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
deleted file mode 100644
index c4fa5f8..0000000
--- a/buch/papers/reedsolomon/images/signal.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,6
-1,6
-2,0
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diff --git a/buch/papers/reedsolomon/images/syndrom.txt b/buch/papers/reedsolomon/images/syndrom.txt
deleted file mode 100644
index 8ca9eed..0000000
--- a/buch/papers/reedsolomon/images/syndrom.txt
+++ /dev/null
@@ -1,96 +0,0 @@
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diff --git a/buch/papers/reedsolomon/main.tex b/buch/papers/reedsolomon/main.tex
index e68b947..327d01a 100644
--- a/buch/papers/reedsolomon/main.tex
+++ b/buch/papers/reedsolomon/main.tex
@@ -8,29 +8,9 @@
\begin{refsection}
\chapterauthor{Joshua Bär und Michael Steiner}
-Ein paar Hinweise für die korrekte Formatierung des Textes
-\begin{itemize}
-\item
-Absätze werden gebildet, indem man eine Leerzeile einfügt.
-Die Verwendung von \verb+\\+ ist nur in Tabellen und Arrays gestattet.
-\item
-Die explizite Platzierung von Bildern ist nicht erlaubt, entsprechende
-Optionen werden gelöscht.
-Verwenden Sie Labels und Verweise, um auf Bilder hinzuweisen.
-\item
-Beginnen Sie jeden Satz auf einer neuen Zeile.
-Damit ermöglichen Sie dem Versionsverwaltungssysteme, Änderungen
-in verschiedenen Sätzen von verschiedenen Autoren ohne Konflikt
-anzuwenden.
-\item
-Bilden Sie auch für Formeln kurze Zeilen, einerseits der besseren
-Übersicht wegen, aber auch um GIT die Arbeit zu erleichtern.
-\end{itemize}
-
% Joshua
\input{papers/reedsolomon/einleitung.tex}
\input{papers/reedsolomon/idee.tex}
-%\input{papers/reedsolomon/teil2.tex}
\input{papers/reedsolomon/dtf.tex}
% Michael
diff --git a/buch/papers/reedsolomon/standalone.tex b/buch/papers/reedsolomon/standalone.tex
new file mode 100644
index 0000000..c850d1f
--- /dev/null
+++ b/buch/papers/reedsolomon/standalone.tex
@@ -0,0 +1,30 @@
+\documentclass{book}
+
+\input{common/packages.tex}
+
+% additional packages used by the individual papers, add a line for
+% each paper
+\input{papers/common/addpackages.tex}
+
+% workaround for biblatex bug
+\makeatletter
+\def\blx@maxline{77}
+\makeatother
+\addbibresource{chapters/references.bib}
+
+% Bibresources for each article
+\input{papers/common/addbibresources.tex}
+
+% make sure the last index starts on an odd page
+\AtEndDocument{\clearpage\ifodd\value{page}\else\null\clearpage\fi}
+\makeindex
+
+%\pgfplotsset{compat=1.12}
+\setlength{\headheight}{15pt} % fix headheight warning
+\DeclareGraphicsRule{*}{mps}{*}{}
+
+\begin{document}
+ \input{common/macros.tex}
+ \def\chapterauthor#1{{\large #1}\bigskip\bigskip}
+ \input{papers/reedsolomon/main.tex}
+\end{document}
diff --git a/buch/papers/reedsolomon/standalone/standalone.pdf b/buch/papers/reedsolomon/standalone/standalone.pdf
new file mode 100644
index 0000000..80af280
Binary files /dev/null and b/buch/papers/reedsolomon/standalone/standalone.pdf differ
diff --git a/buch/papers/reedsolomon/tikz/codiert.txt b/buch/papers/reedsolomon/tikz/codiert.txt
new file mode 100644
index 0000000..4a481d8
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/codiert.txt
@@ -0,0 +1,96 @@
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diff --git a/buch/papers/reedsolomon/tikz/decodiert.txt b/buch/papers/reedsolomon/tikz/decodiert.txt
new file mode 100644
index 0000000..f6221e6
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/decodiert.txt
@@ -0,0 +1,96 @@
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diff --git a/buch/papers/reedsolomon/tikz/empfangen.txt b/buch/papers/reedsolomon/tikz/empfangen.txt
new file mode 100644
index 0000000..38c13b0
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/empfangen.txt
@@ -0,0 +1,96 @@
+0,284
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diff --git a/buch/papers/reedsolomon/tikz/fehler.txt b/buch/papers/reedsolomon/tikz/fehler.txt
new file mode 100644
index 0000000..23f1a83
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/fehler.txt
@@ -0,0 +1,96 @@
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diff --git a/buch/papers/reedsolomon/tikz/locator.txt b/buch/papers/reedsolomon/tikz/locator.txt
new file mode 100644
index 0000000..b28988c
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/locator.txt
@@ -0,0 +1,96 @@
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diff --git a/buch/papers/reedsolomon/tikz/plotfft.tex b/buch/papers/reedsolomon/tikz/plotfft.tex
new file mode 100644
index 0000000..3036e14
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/plotfft.tex
@@ -0,0 +1,99 @@
+%
+% 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[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}}]
+ \addplot[] table[col sep=comma] {tikz/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] {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[] table[col sep=comma] {tikz/empfangen.txt};
+ \end{axis}
+ \end{tikzpicture}};\\
+
+ \node(syndrom) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Syndrom}}]
+ \addplot[blue] table[col sep=comma] {tikz/syndrom.txt};
+ \end{axis}
+ \end{tikzpicture}}; &
+
+ \node(locator) [] {
+ \begin{tikzpicture}
+ \begin{axis}[title = {\Large {Locator}}]
+ \addplot[] table[col sep=comma] {tikz/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}
+\end{document}
\ 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..456e067
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/polynom2.tex
@@ -0,0 +1,57 @@
+% 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 #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/tikz/signal.txt b/buch/papers/reedsolomon/tikz/signal.txt
new file mode 100644
index 0000000..c4fa5f8
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/signal.txt
@@ -0,0 +1,96 @@
+0,6
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diff --git a/buch/papers/reedsolomon/tikz/syndrom.txt b/buch/papers/reedsolomon/tikz/syndrom.txt
new file mode 100644
index 0000000..8ca9eed
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/syndrom.txt
@@ -0,0 +1,96 @@
+0,0
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