add image to reedsolomon

14 files changed, 170 insertions, 35 deletions

diff --git a/buch/papers/clifford/3d/common.inc b/buch/papers/clifford/3d/common.inc
index 54aa7fe..55bf6e1 100644
--- a/buch/papers/clifford/3d/common.inc
+++ b/buch/papers/clifford/3d/common.inc
@@ -245,3 +245,27 @@ cylinder {
 
 #end
 
+#macro bogen(v1, v2, center, winkelbogen, farbe)
+
+union {
+	#declare phi = 0;
+	#declare phimax = winkelbogen;
+	#declare phistep = (phimax - phi) / N;
+	#while (phi < phimax - phistep/2)
+		cylinder {
+			cos(phi        ) * v1 + sin(phi        ) * v2 + center,
+			cos(phi+phistep) * v1 + sin(phi+phistep) * v2 + center,
+			0.01
+		}
+		sphere {
+			cos(phi        ) * v1 + sin(phi        ) * v2 + center,
+			0.01
+		}
+		#declare phi = phi + phistep;
+	#end
+	pigment {
+		color farbe
+	}
+}
+
+#end
diff --git a/buch/papers/clifford/3d/dq.jpg b/buch/papers/clifford/3d/dq.jpg
index bd44a65..690cfdc 100644
--- a/buch/papers/clifford/3d/dq.jpg
+++ b/buch/papers/clifford/3d/dq.jpg
diff --git a/buch/papers/clifford/3d/dq.pdf b/buch/papers/clifford/3d/dq.pdf
index 71727d2..797a558 100644
--- a/buch/papers/clifford/3d/dq.pdf
+++ b/buch/papers/clifford/3d/dq.pdf
diff --git a/buch/papers/clifford/3d/drehung.jpg b/buch/papers/clifford/3d/drehung.jpg
index ad7cd47..2347296 100644
--- a/buch/papers/clifford/3d/drehung.jpg
+++ b/buch/papers/clifford/3d/drehung.jpg
diff --git a/buch/papers/clifford/3d/drehung.pdf b/buch/papers/clifford/3d/drehung.pdf
index de29085..bc8036e 100644
--- a/buch/papers/clifford/3d/drehung.pdf
+++ b/buch/papers/clifford/3d/drehung.pdf
diff --git a/buch/papers/clifford/3d/drehung.pov b/buch/papers/clifford/3d/drehung.pov
index 54b5a2e..b86a2c5 100644
--- a/buch/papers/clifford/3d/drehung.pov
+++ b/buch/papers/clifford/3d/drehung.pov
@@ -60,24 +60,6 @@ mesh {
 	}
 }
 
-union {
-	#declare phi = 0;
-	#declare phimax = 2*pi/3;
-	#declare phistep = (phimax - phi) / N;
-	#while (phi < phimax - phistep/2)
-		cylinder {
-			r * (cos(phi        ) * e1 + sin(phi        ) * e2),
-			r * (cos(phi+phistep) * e1 + sin(phi+phistep) * e2),
-			0.01
-		}
-		sphere { r * (cos(phi        ) * e1 + sin(phi        ) * e2), 0.01 }
-		#declare phi = phi + phistep;
-	#end
-	pigment {
-		color Blue
-	}
-}
-
 mesh {
 	#declare phi = 0;
 	#declare phimax = 2*pi/3;
@@ -100,21 +82,6 @@ mesh {
 	}
 }
 
-union {
-	#declare phi = 0;
-	#declare phimax = 2*pi/3;
-	#declare phistep = (phimax - phi) / N;
-	#while (phi < phimax - phistep/2)
-		cylinder {
-			r * (cos(phi        ) * e1 + sin(phi        ) * e2) + Vparallel,
-			r * (cos(phi+phistep) * e1 + sin(phi+phistep) * e2) + Vparallel,
-			0.01
-		}
-		sphere { r * (cos(phi        ) * e1 + sin(phi        ) * e2) + Vparallel, 0.01 }
-		#declare phi = phi + phistep;
-	#end
-	pigment {
-		color Green
-	}
-}
+bogen(r * e1, r * e2, <0,0,0>, 2*pi/3, Blue)
+bogen(r * e1, r * e2, Vparallel, 2*pi/3, Green)
 
diff --git a/buch/papers/clifford/3d/q23.jpg b/buch/papers/clifford/3d/q23.jpg
index 50ca028..929ef90 100644
--- a/buch/papers/clifford/3d/q23.jpg
+++ b/buch/papers/clifford/3d/q23.jpg
diff --git a/buch/papers/clifford/3d/q23.pov b/buch/papers/clifford/3d/q23.pov
index e3e5d49..2e55c96 100644
--- a/buch/papers/clifford/3d/q23.pov
+++ b/buch/papers/clifford/3d/q23.pov
@@ -7,6 +7,8 @@
 
 circlearrow(<1,0,0>, 0.01*<0,0,-1>, <0, 0, 0>, 1.0,         thick, 0.98*pi/2, 4)
 
+bogen( <0,1.7,0>, <-1.7, 0, 0>, <0,0,0>, pi/2, Blue)
+
 arrow( <0,0,0>, <-2.0,0,0>, 0.99*thick, Blue)
 arrow( <0,0,0>, <0,2.0,0>, 0.99*thick, Blue)
 arrow( <0,0,0>, <0,0,2.0>, 0.99*thick, Red)
diff --git a/buch/papers/clifford/3d/q31.jpg b/buch/papers/clifford/3d/q31.jpg
index 10313fa..c240b4f 100644
--- a/buch/papers/clifford/3d/q31.jpg
+++ b/buch/papers/clifford/3d/q31.jpg
diff --git a/buch/papers/clifford/3d/q31.pov b/buch/papers/clifford/3d/q31.pov
index 901f838..4abe1ed 100644
--- a/buch/papers/clifford/3d/q31.pov
+++ b/buch/papers/clifford/3d/q31.pov
@@ -10,3 +10,6 @@ circlearrow(<1,0,0>, 0.01*<0,-1,0>, <0, 0, 0>, 1.0,         thick, 0.98*pi/2, 4)
 arrow( <0,0,0>, <-2.0,0,0>, 0.99*thick, Blue)
 arrow( <0,0,0>, <0,2.0,0>, 0.99*thick, Red)
 arrow( <0,0,0>, <0,0,2.0>, 0.99*thick, Blue)
+
+bogen( <0,0,1.7>, <-1.7, 0, 0>, <0,0,0>, pi/2, Blue)
+
diff --git a/buch/papers/clifford/3d/qq.pdf b/buch/papers/clifford/3d/qq.pdf
index 4c55d57..fd7dbfa 100644
--- a/buch/papers/clifford/3d/qq.pdf
+++ b/buch/papers/clifford/3d/qq.pdf
diff --git a/buch/papers/reedsolomon/tikz/Makefile b/buch/papers/reedsolomon/tikz/Makefile
new file mode 100644
index 0000000..1753f37
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/Makefile
@@ -0,0 +1,7 @@
+#
+# Makefile
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+fourier.pdf:	fourier.tex
+	pdflatex fourier.tex
diff --git a/buch/papers/reedsolomon/tikz/fourier.pdf b/buch/papers/reedsolomon/tikz/fourier.pdf
new file mode 100644
index 0000000..a1b6e24
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/fourier.pdf
diff --git a/buch/papers/reedsolomon/tikz/fourier.tex b/buch/papers/reedsolomon/tikz/fourier.tex
new file mode 100644
index 0000000..af556d1
--- /dev/null
+++ b/buch/papers/reedsolomon/tikz/fourier.tex
@@ -0,0 +1,132 @@
+%
+% Plot der Übertrangungsabfolge ins FFT und zurück mit IFFT
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{pgfplots}
+\usepackage{pgfplotstable}
+\usepackage{csvsimple}
+\usepackage{filecontents}
+
+\def\plotwidth{7.5cm}
+\def\plotheight{5.5cm}
+\def\xverschiebung{4.5cm}
+\def\yverschiebung{-7cm}
+\def\yyverschiebung{-14cm}
+
+\def\marke#1{
+	\coordinate (M) at (-0.8,4.6);
+	\fill[color=lightgray] (M) circle[radius=0.3];
+	\draw (M) circle[radius=0.3];
+	\node at (M) {#1};
+}
+
+\begin{document}
+\begin{tikzpicture}[>=latex,thick]
+
+\draw[dashed,line width=2pt,color=lightgray] (2.6,4.4) -- (2.6,-14.3);
+\coordinate (B) at (2.6,-1.3);
+\node[color=gray] at (B) [rotate=90,above] {Zeitbereich};
+\node[color=gray] at (B) [rotate=90,below] {Frequenzbereich};
+
+\begin{scope}[xshift=-\xverschiebung,yshift=0cm]
+	\begin{axis}
+		[title = {\large Signal\strut}, 
+		xtick={0,32,64,96}, width=\plotwidth,height=\plotheight]
+		\addplot[blue,line width=1pt] table[col sep=comma]
+			{tikz/signal.txt};
+	\end{axis}
+	\marke{1}
+\end{scope}
+
+\begin{scope}[xshift=\xverschiebung,yshift=0cm]
+	\begin{axis}[axis x line= none, axis y line*=right,ytick={0},
+		width=\plotwidth,height=\plotheight]
+		\addplot[color=white] {0};
+	\end{axis}
+
+	\begin{axis}[title = {\large Codiert\strut}, axis y line*=left,
+		xtick={0,32,64,96},
+		width=\plotwidth,height=\plotheight]
+		\addplot[color=black!60!green,line width=1pt]
+			table[col sep=comma]
+			{tikz/codiert.txt};
+	\end{axis}
+	\marke{2}
+	\draw[->,line width=1pt] (3,-0.4) -- node[right] {Übertragung} (3,-2.2);
+\end{scope}
+
+\definecolor{pink}{rgb}{0.6,0.2,1}
+
+\begin{scope}[xshift=-\xverschiebung,yshift=\yverschiebung]
+	\fill[color=pink!20] (4.65,0.35) ellipse (1.1cm and 0.5cm);
+	\begin{axis}[title = {\large Decodiert\strut},
+		xtick={0,32,64,96},
+		width=\plotwidth,height=\plotheight]
+		\addplot[blue,line width=1pt]
+			table[col sep=comma] {tikz/decodiert.txt};
+	\end{axis}
+	\marke{4}
+	\draw[color=pink] (4.65,0.35) ellipse (1.1cm and 0.5cm);
+	\draw[->,color=pink,line width=1pt]
+		(4.65,-0.15) to[out=-90,in=90] (3,-2.2);
+\end{scope}
+	
+\begin{scope}[xshift=\xverschiebung,yshift=\yverschiebung]
+	\begin{axis}[title = {\large Empfangen {\color{red} mit Fehler}\strut},
+		xtick={0,96},
+		axis y line*=left,
+		width=\plotwidth,height=\plotheight]
+		\addplot[color=black!60!green,line width=1pt]
+			table[col sep=comma]
+			{tikz/empfangen.txt};
+	\end{axis}
+	\begin{axis}[xtick={6,20,74}, axis y line*=right,
+		width=\plotwidth,height=\plotheight]
+		\addplot[red,line width=1pt]
+			table[col sep=comma] {tikz/fehler.txt};
+	\end{axis}
+	\marke{3}
+\end{scope}
+
+\begin{scope}[xshift=-\xverschiebung,yshift=\yyverschiebung]
+	\begin{axis}[title = {\large \color{pink}Syndrom\strut},
+		xtick={0,32,64,96},
+		width=\plotwidth,height=\plotheight]
+		\addplot[pink,line width=1pt]
+			table[col sep=comma] {tikz/syndrom.txt};
+	\end{axis}
+	\marke{5}
+\end{scope}
+
+\begin{scope}[xshift=\xverschiebung,yshift=\yyverschiebung]
+	% Beschriftung Rechts
+	\begin{axis}[axis x line= none, axis y line*=right, ytick={0.3},
+		xtick={0,32,64,96},
+		width=\plotwidth,height=\plotheight]
+		\addplot[color=black!60,line width=1pt] {0.3};
+	\end{axis}
+	\begin{axis}[title = {\large Locator\strut},axis y line*=left,
+		xtick={0,6,20,74,96},
+		width=\plotwidth,height=\plotheight]
+		\addplot[gray,line width=1pt]
+			table[col sep=comma] {tikz/locator.txt};
+	\end{axis}
+	\marke{6}
+\end{scope}
+	
+% Fourier-Transformations-Pfeile
+
+\draw[->,line width=1pt] (1.8,2) -- node[above] {DFT\strut}  (3.8,2);
+
+\begin{scope}[yshift=\yverschiebung]
+\draw[<-,line width=1pt] (1.8,2) -- node[above] {DFT$\mathstrut^{-1}$}  (3.8,2);
+\end{scope}
+
+\begin{scope}[yshift=\yyverschiebung]
+\draw[->,line width=1pt] (1.8,2) -- node[above] {DFT\strut}  (3.8,2);
+\end{scope}
+	
+\end{tikzpicture}	
+\end{document}