aboutsummaryrefslogtreecommitdiffstats
path: root/buch/papers/ellfilter/tikz/arccos2.tikz.tex
diff options
context:
space:
mode:
Diffstat (limited to 'buch/papers/ellfilter/tikz/arccos2.tikz.tex')
-rw-r--r--buch/papers/ellfilter/tikz/arccos2.tikz.tex76
1 files changed, 76 insertions, 0 deletions
diff --git a/buch/papers/ellfilter/tikz/arccos2.tikz.tex b/buch/papers/ellfilter/tikz/arccos2.tikz.tex
new file mode 100644
index 0000000..2cec75f
--- /dev/null
+++ b/buch/papers/ellfilter/tikz/arccos2.tikz.tex
@@ -0,0 +1,76 @@
+\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2]
+
+ \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm]
+ \tikzset{pole/.style={cross out, draw=black, minimum size=(0.15cm-\pgflinewidth), inner sep=0pt, outer sep=0pt}}
+ \tikzstyle{dot} = [fill, circle, inner sep =0, minimum height=0.1cm]
+
+
+ \begin{scope}[xscale=0.75]
+
+ \draw[gray, ->] (0,-1) -- (0,2) node[anchor=south]{$\mathrm{Im}~z_1$};
+ \draw[gray, ->] (-2,0) -- (9,0) node[anchor=west]{$\mathrm{Re}~z_1$};
+
+ \begin{scope}
+
+ \draw[->, ultra thick, blue] (8, 1.5) -- node[align=center]{Sperrbereich} (8,0);
+ \draw[->, ultra thick, cyan] (8, 0) -- node[yshift=-0.5cm]{Durchlassbereich}(4,0);
+ \draw[->, ultra thick, darkgreen] (4, 0) -- node[yshift=-0.5cm]{Durchlassbereich} (0,0);
+ \draw[->, ultra thick, orange] (0, 0) -- node[align=center]{Sperrbereich} (0,1.5);
+
+ \node[anchor=north east] at (8, 1.5) {$-\infty$};
+ \draw (8, 0) node[dot]{} node[anchor=south east] {$1$};
+ \draw (6, 0) node[dot]{} node[anchor=south] {$-1$};
+ \draw (4, 0) node[dot]{} node[anchor=south] {$1$};
+ \draw (2, 0) node[dot]{} node[anchor=south] {$-1$};
+ \draw (0, 0) node[dot]{} node[anchor=south west] {$1$};
+ \node[anchor=north west] at (0, 1.5){$\infty$};
+
+ \node at(4,1) {$N = 4$};
+
+ % \node[zero] at (-7,0) {};
+ % \node[zero] at (-5,0) {};
+ % \node[zero] at (-3,0) {};
+ \node[zero] at (-1,0) {};
+ \node[zero] at (1,0) {};
+ \node[zero] at (3,0) {};
+ \node[zero] at (5,0) {};
+ \node[zero] at (7,0) {};
+
+ \end{scope}
+
+ % \node[gray, anchor=north] at (-8,0) {$-4\pi$};
+ % \node[gray, anchor=north] at (-6,0) {$-3\pi$};
+ % \node[gray, anchor=north] at (-4,0) {$-2\pi$};
+ \node[gray, anchor=north] at (-2,0) {$-\pi$};
+ \node[gray, anchor=north] at (2,0) {$\pi$};
+ \node[gray, anchor=north] at (4,0) {$2\pi$};
+ \node[gray, anchor=north] at (6,0) {$3\pi$};
+ \node[gray, anchor=north] at (8,0) {$4\pi$};
+
+
+ % \node[gray, anchor=east] at (0,-1.5) {$-\infty$};
+ \node[gray, anchor=east] at (0, 1.5) {$\infty$};
+
+ \end{scope}
+
+ \node[zero] at (6.5,2) (n) {};
+ \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