1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
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}
|
