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
|
\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}}
\begin{scope}[xscale=3, yscale=2.5]
\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) -- (0,1.25) node[anchor=south]{$|H(\Omega)|$};
\draw[gray, ->] (0,0) -- (2.75,0) node[anchor=west]{$\Omega$};
\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] {$\Omega_p$};
\node[left] at(0,1) {$1$};
\draw[red, thick] (0,1) -- (1,1) -- (1,0) -- (2.5,0);
\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}
\end{tikzpicture}
|