corrections

6 files changed, 60 insertions, 17 deletions

diff --git a/buch/papers/ellfilter/tikz/arccos.tikz.tex b/buch/papers/ellfilter/tikz/arccos.tikz.tex
index a139fc4..b11c25d 100644
--- a/buch/papers/ellfilter/tikz/arccos.tikz.tex
+++ b/buch/papers/ellfilter/tikz/arccos.tikz.tex
@@ -52,9 +52,14 @@
     \end{scope}
 
     \node[zero] at (4,2) (n) {};
-    \node[anchor=west] at (n.east) {Zero};
+    \node[anchor=west] at (n.east) {Nullstelle};
 
-    \begin{scope}[yshift=-3cm]
+    \begin{scope}[yshift=-3.25cm]
+
+        \draw[->, thick](0,0) -- node[anchor=center, fill=white]{$z = \cos^{-1}(w)$} (0,1);
+
+    \end{scope}
+    \begin{scope}[yshift=-4cm]
 
         \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$w$};
 
diff --git a/buch/papers/ellfilter/tikz/arccos2.tikz.tex b/buch/papers/ellfilter/tikz/arccos2.tikz.tex
index c3f11bb..2cec75f 100644
--- a/buch/papers/ellfilter/tikz/arccos2.tikz.tex
+++ b/buch/papers/ellfilter/tikz/arccos2.tikz.tex
@@ -54,6 +54,23 @@
     \end{scope}
 
     \node[zero] at (6.5,2) (n) {};
-    \node[anchor=west] at (n.east) {Zero};
+    \node[anchor=west] at (n.east) {Nullstelle};
+
+    \begin{scope}[xshift=2.75cm, yshift=-2cm]
+
+        \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$w$};
+
+        \draw[ultra thick, ->, blue]      (-4, 0) -- (-2, 0);
+        \draw[ultra thick, ->, cyan]       (-2, 0) -- (0, 0);
+        \draw[ultra thick, ->, darkgreen]    (0, 0) -- (2, 0);
+        \draw[ultra thick, ->, orange] (2, 0) -- (4, 0);
+
+        \node[anchor=south] at (-4,0) {$-\infty$};
+        \node[anchor=south] at (-2,0) {$-1$};
+        \node[anchor=south] at (0,0) {$0$};
+        \node[anchor=south] at (2,0) {$1$};
+        \node[anchor=south] at (4,0) {$\infty$};
+
+    \end{scope}
 
 \end{tikzpicture}
\ No newline at end of file
diff --git a/buch/papers/ellfilter/tikz/cd.tikz.tex b/buch/papers/ellfilter/tikz/cd.tikz.tex
index cc5852c..0cf2417 100644
--- a/buch/papers/ellfilter/tikz/cd.tikz.tex
+++ b/buch/papers/ellfilter/tikz/cd.tikz.tex
@@ -67,9 +67,9 @@
     \end{scope}
 
     \node[zero] at (4,3) (n) {};
-    \node[anchor=west] at (n.east) {Zero};
+    \node[anchor=west] at (n.east) {Nullstelle};
     \node[pole, below=0.25cm of n] (n) {};
-    \node[anchor=west] at (n.east) {Pole};
+    \node[anchor=west] at (n.east) {Polstelle};
 
     \begin{scope}[yshift=-4cm, xscale=0.75]
 
diff --git a/buch/papers/ellfilter/tikz/cd2.tikz.tex b/buch/papers/ellfilter/tikz/cd2.tikz.tex
index bba5789..d4187c4 100644
--- a/buch/papers/ellfilter/tikz/cd2.tikz.tex
+++ b/buch/papers/ellfilter/tikz/cd2.tikz.tex
@@ -76,4 +76,19 @@
 
     \end{scope}
 
+    \begin{scope}[xshift=1cm , yshift=-3cm, xscale=0.75]
+
+        \draw[gray, ->] (-1,0) -- (6,0) node[anchor=west]{$w$};
+
+        \draw[ultra thick, ->, darkgreen]    (0, 0) -- (2, 0);
+        \draw[ultra thick, ->, orange] (2, 0) -- (3, 0);
+        \draw[ultra thick, ->, red] (3, 0) -- (5, 0);
+
+        \node[anchor=south] at (0,0) {$0$};
+        \node[anchor=south] at (2,0) {$1$};
+        \node[anchor=south] at (3,0) {$1/k$};
+        \node[anchor=south] at (5,0) {$\infty$};
+
+    \end{scope}
+
 \end{tikzpicture}
\ No newline at end of file
diff --git a/buch/papers/ellfilter/tikz/filter.tikz.tex b/buch/papers/ellfilter/tikz/filter.tikz.tex
index 05b59b9..769602a 100644
--- a/buch/papers/ellfilter/tikz/filter.tikz.tex
+++ b/buch/papers/ellfilter/tikz/filter.tikz.tex
@@ -4,22 +4,28 @@
 
     \tikzset{pole/.style={cross out, draw=black, minimum size=(0.15cm-\pgflinewidth), inner sep=0pt, outer sep=0pt}}
 
-    \begin{scope}[xscale=2, yscale=2]
+    \begin{scope}[xscale=3, yscale=2.5]
 
-        \fill[ gray!20] (0,0) rectangle  (1,0.707);
+        \fill[darkgreen!15] (0,0) rectangle  (1,1);
+        \node[darkgreen] at (0.5,0.5) {Durchlassbereich};
+        \fill[orange!15] (1,0) rectangle  (2.5,1);
+        \node[orange] at (1.75,0.5) {Sperrbereich};
 
-        \draw[gray, ->] (0,-0.25) -- (0,1.25) node[anchor=south]{$|H(\Omega)|$};
-        \draw[gray, ->] (-0.25,0) -- (3,0) node[anchor=west]{$\Omega$};
+        \draw[gray, ->] (0,0) -- (0,1.25) node[anchor=south]{$|H(\Omega)|$};
+        \draw[gray, ->] (0,0) -- (2.75,0) node[anchor=west]{$\Omega$};
 
-        \draw[fill = gray!20] (0,0.707) node[left] {$\sqrt{\frac{1}{1+\varepsilon^2}}$} -| (1,0) node[below] {$\Omega_p$};
+        \draw[dashed] (0,0.707) node[left] {$\sqrt{\frac{1}{1+\varepsilon^2}}$} -| (1,0) node[below] {$\Omega_p$};
+        \draw[dashed] (0,0.707) node[left] {$\sqrt{\frac{1}{1+\varepsilon^2}}$} -| (1,0) node[below] {$\Omega_p$};
 
-        \draw[fill = gray!20] (0,0.707) node[left] {$\sqrt{\frac{1}{1+\varepsilon^2}}$} -| (1,0) node[below] {$\Omega_p$};
+        \node[left] at(0,1) {$1$};
 
-        \begin{scope}[]
-            \draw[thick, domain=0:2.5,  variable=\x, smooth, samples=200] plot
-                ({\x}, {sqrt(abs(1/ (1 + \x^10)))});
+        \draw[red, thick] (0,1) -- (1,1) -- (1,0) -- (2.5,0);
 
-        \end{scope}
+        \node[anchor=north, red] at (0.5,1) {Ideal};
+
+        \draw[thick, domain=0:2.5,  variable=\x, smooth, samples=200] plot
+        ({\x}, {sqrt(abs(1/ (1 + \x^10)))});
+        \node[anchor=south] at (0.5,1) {Butterworth ($N=5$)};
 
     \end{scope}
 
diff --git a/buch/papers/ellfilter/tikz/sn.tikz.tex b/buch/papers/ellfilter/tikz/sn.tikz.tex
index c3df8d1..0546fda 100644
--- a/buch/papers/ellfilter/tikz/sn.tikz.tex
+++ b/buch/papers/ellfilter/tikz/sn.tikz.tex
@@ -70,9 +70,9 @@
     \end{scope}
 
     \node[zero] at (4,3) (n) {};
-    \node[anchor=west] at (n.east) {Zero};
+    \node[anchor=west] at (n.east) {Nullstelle};
     \node[pole, below=0.25cm of n] (n) {};
-    \node[anchor=west] at (n.east) {Pole};
+    \node[anchor=west] at (n.east) {Polstelle};
 
     \begin{scope}[yshift=-4cm, xscale=0.75]