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-rw-r--r--buch/papers/ellfilter/tikz/cd.tikz.tex66
1 files changed, 37 insertions, 29 deletions
diff --git a/buch/papers/ellfilter/tikz/cd.tikz.tex b/buch/papers/ellfilter/tikz/cd.tikz.tex
index 7155a85..0cf2417 100644
--- a/buch/papers/ellfilter/tikz/cd.tikz.tex
+++ b/buch/papers/ellfilter/tikz/cd.tikz.tex
@@ -4,7 +4,7 @@
\tikzset{pole/.style={cross out, draw=black, minimum size=(0.15cm-\pgflinewidth), inner sep=0pt, outer sep=0pt}}
- \begin{scope}[xscale=1, yscale=2]
+ \begin{scope}[xscale=0.9, yscale=1.8]
\draw[gray, ->] (0,-1.5) -- (0,1.5) node[anchor=south]{$\mathrm{Im}~z$};
\draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$\mathrm{Re}~z$};
@@ -22,32 +22,35 @@
\fill[yellow!30] (0,0) rectangle (1, 0.5);
+ \foreach \i in {-2,...,1} {
+ \foreach \j in {-2,...,1} {
+ \begin{scope}[xshift=\i*4cm, yshift=\j*1cm]
+ \draw[->, orange!50] (0, 0) -- (0,0.5);
+ \draw[->, darkgreen!50] (1, 0) -- (0,0);
+ \draw[->, cyan!50] (2, 0) -- (1,0);
+ \draw[->, blue!50] (2,0.5) -- (2, 0);
+ \draw[->, purple!50] (1, 0.5) -- (2,0.5);
+ \draw[->, red!50] (0, 0.5) -- (1,0.5);
+ \draw[->, orange!50] (0,1) -- (0,0.5);
+ \draw[->, blue!50] (2,0.5) -- (2, 1);
+ \draw[->, purple!50] (3, 0.5) -- (2,0.5);
+ \draw[->, red!50] (4, 0.5) -- (3,0.5);
+ \draw[->, cyan!50] (2, 0) -- (3,0);
+ \draw[->, darkgreen!50] (3, 0) -- (4,0);
+ \end{scope}
+ }
+ }
- \draw[thick, ->, darkgreen] (0, 0) -- (0,0.5);
- \draw[thick, ->, orange] (1, 0) -- (0,0);
- \draw[thick, ->, red] (2, 0) -- (1,0);
- \draw[thick, ->, blue] (2,0.5) -- (2, 0);
- \draw[thick, ->, purple] (1, 0.5) -- (2,0.5);
- \draw[thick, ->, cyan] (0, 0.5) -- (1,0.5);
-
-
+ \draw[ultra thick, ->, orange] (0, 0) -- (0,0.5);
+ \draw[ultra thick, ->, darkgreen] (1, 0) -- (0,0);
+ \draw[ultra thick, ->, cyan] (2, 0) -- (1,0);
+ \draw[ultra thick, ->, blue] (2,0.5) -- (2, 0);
+ \draw[ultra thick, ->, purple] (1, 0.5) -- (2,0.5);
+ \draw[ultra thick, ->, red] (0, 0.5) -- (1,0.5);
\foreach \i in {-2,...,1} {
\foreach \j in {-2,...,1} {
\begin{scope}[xshift=\i*4cm, yshift=\j*1cm]
- \draw[opacity=0.5, ->, darkgreen] (0, 0) -- (0,0.5);
- \draw[opacity=0.5, ->, orange] (1, 0) -- (0,0);
- \draw[opacity=0.5, ->, red] (2, 0) -- (1,0);
- \draw[opacity=0.5, ->, blue] (2,0.5) -- (2, 0);
- \draw[opacity=0.5, ->, purple] (1, 0.5) -- (2,0.5);
- \draw[opacity=0.5, ->, cyan] (0, 0.5) -- (1,0.5);
- \draw[opacity=0.5, ->, darkgreen] (0,1) -- (0,0.5);
- \draw[opacity=0.5, ->, blue] (2,0.5) -- (2, 1);
- \draw[opacity=0.5, ->, purple] (3, 0.5) -- (2,0.5);
- \draw[opacity=0.5, ->, cyan] (4, 0.5) -- (3,0.5);
- \draw[opacity=0.5, ->, red] (2, 0) -- (3,0);
- \draw[opacity=0.5, ->, orange] (3, 0) -- (4,0);
-
\node[zero] at ( 1, 0) {};
\node[zero] at ( 3, 0) {};
\node[pole] at ( 1,0.5) {};
@@ -63,16 +66,21 @@
\end{scope}
- \begin{scope}[yshift=-3.5cm, xscale=0.75]
+ \node[zero] at (4,3) (n) {};
+ \node[anchor=west] at (n.east) {Nullstelle};
+ \node[pole, below=0.25cm of n] (n) {};
+ \node[anchor=west] at (n.east) {Polstelle};
+
+ \begin{scope}[yshift=-4cm, xscale=0.75]
\draw[gray, ->] (-6,0) -- (6,0) node[anchor=west]{$w$};
- \draw[thick, ->, purple] (-5, 0) -- (-3, 0);
- \draw[thick, ->, blue] (-3, 0) -- (-2, 0);
- \draw[thick, ->, red] (-2, 0) -- (0, 0);
- \draw[thick, ->, orange] (0, 0) -- (2, 0);
- \draw[thick, ->, darkgreen] (2, 0) -- (3, 0);
- \draw[thick, ->, cyan] (3, 0) -- (5, 0);
+ \draw[ultra thick, ->, purple] (-5, 0) -- (-3, 0);
+ \draw[ultra thick, ->, blue] (-3, 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) -- (3, 0);
+ \draw[ultra thick, ->, red] (3, 0) -- (5, 0);
\node[anchor=south] at (-5,0) {$-\infty$};
\node[anchor=south] at (-3,0) {$-1/k$};