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-rw-r--r-- | buch/papers/ellfilter/tikz/cd.tikz.tex | 95 |
1 files changed, 95 insertions, 0 deletions
diff --git a/buch/papers/ellfilter/tikz/cd.tikz.tex b/buch/papers/ellfilter/tikz/cd.tikz.tex new file mode 100644 index 0000000..0cf2417 --- /dev/null +++ b/buch/papers/ellfilter/tikz/cd.tikz.tex @@ -0,0 +1,95 @@ +\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=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]{$\mathrm{Re}~z$}; + + \draw[gray] ( 1,0) +(0,0.1) -- +(0, -0.1) node[inner sep=0, anchor=north] {\small $K$}; + + \draw[gray] (0, 0.5) +(0.1, 0) -- +(-0.1, 0) node[inner sep=0, anchor=east]{\small $jK^\prime$}; + + + \begin{scope} + + \begin{scope}[xshift=0cm] + + \clip(-4.5,-1.25) rectangle (4.5,1.25); + + \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[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] + \node[zero] at ( 1, 0) {}; + \node[zero] at ( 3, 0) {}; + \node[pole] at ( 1,0.5) {}; + \node[pole] at ( 3,0.5) {}; + + \end{scope} + } + } + + \end{scope} + + \end{scope} + + \end{scope} + + \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[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) {$-1/k$}; + \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 (3,0) {$1/k$}; + \node[anchor=south] at (5,0) {$\infty$}; + + \end{scope} + +\end{tikzpicture}
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