From 8ced517966a5996ad659b155b7e0372107bbf116 Mon Sep 17 00:00:00 2001 From: Nicolas Tobler Date: Tue, 2 Aug 2022 23:54:02 +0200 Subject: improved Einleitung --- .../ellfilter/tikz/elliptic_transform1.tikz.tex | 76 ++++++++++++++++++++++ 1 file changed, 76 insertions(+) create mode 100644 buch/papers/ellfilter/tikz/elliptic_transform1.tikz.tex (limited to 'buch/papers/ellfilter/tikz/elliptic_transform1.tikz.tex') diff --git a/buch/papers/ellfilter/tikz/elliptic_transform1.tikz.tex b/buch/papers/ellfilter/tikz/elliptic_transform1.tikz.tex new file mode 100644 index 0000000..2a36ee0 --- /dev/null +++ b/buch/papers/ellfilter/tikz/elliptic_transform1.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, minimum size=(0.15cm-\pgflinewidth), inner sep=0pt, outer sep=0pt}} + + \begin{scope}[xscale=1, yscale=1.5] + + \begin{scope}[] + + \fill[orange!25] (0,0) rectangle (1.5, 0.75); + \fill[yellow!50] (0,0) rectangle (0.5, 0.25); + + \draw[gray, ->] (0,-0.75) -- (0,1.25) node[anchor=south]{$\mathrm{Im}~z$}; + \draw[gray, ->] (-1.75,0) -- (1.75,0) node[anchor=west]{$\mathrm{Re}~z$}; + + \draw[gray] ( 0.5,0) +(0,0.05) -- +(0, -0.05) node[inner sep=0, anchor=north] {\small $K$}; + \draw[gray] (0, 0.25) +(0.05, 0) -- +(-0.05, 0) node[inner sep=0, anchor=east]{\small $jK^\prime$}; + + % \draw[gray] ( 1.5,0) +(0,0.05) -- +(0, -0.05) node[inner sep=0, anchor=north] {\small $K_1$}; + % \draw[gray] (0, 0.75) +(0.05, 0) -- +(-0.05, 0) node[inner sep=0, anchor=east]{\small $jK_1^\prime$}; + + \clip(-1.6,-0.6) rectangle (1.6,1.6); + \begin{scope}[xscale=0.5, yscale=0.25, blue] + \foreach \i in {-1,...,1} { + \foreach \j in {-1,...,2} { + \begin{scope}[xshift=\i*2cm, yshift=\j*2cm] + \node[zero] at ( 1, 0) {}; + \node[zero] at ( -1, 0) {}; + \node[pole] at ( 1,1) {}; + \node[pole] at ( -1,1) {}; + \end{scope} + } + } + \end{scope} + + \node at (0,2) {$\cd \left(N~K_1~z , k_1 \right)$}; + \node at (0,2) {$w= \cd(z K, k)$}; + + \draw[scale=0.2, domain=0.02:5, variable=\x, red] plot ({\x1+3}, {1/\x+2}); + + \end{scope} + + \begin{scope}[xshift=5cm] + + \fill[orange!50] (0,0) rectangle (1.5, 0.75); + \fill[yellow!25] (0,0) rectangle (0.5, 0.25); + + \draw[gray, ->] (0,-0.75) -- (0,1.25) node[anchor=south]{$\mathrm{Im}~z$}; + \draw[gray, ->] (-1.75,0) -- (1.75,0) node[anchor=west]{$\mathrm{Re}~z$}; + + % \draw[gray] ( 0.5,0) +(0,0.05) -- +(0, -0.05) node[inner sep=0, anchor=north] {\small $K$}; + % \draw[gray] (0, 0.25) +(0.05, 0) -- +(-0.05, 0) node[inner sep=0, anchor=east]{\small $jK^\prime$}; + + \draw[gray] ( 0.5,0) +(0,0.05) -- +(0, -0.05) node[inner sep=0, anchor=north] {\small $K_1$}; + \draw[gray] (0, 0.75) +(0.05, 0) -- +(-0.05, 0) node[inner sep=0, anchor=east]{\small $jK_1^\prime$}; + + \clip(-1.6,-0.6) rectangle (1.6,1.6); + \begin{scope}[xscale=0.5, yscale=0.75, red] + \foreach \i in {-1,...,1} { + \foreach \j in {-1,...,0} { + \begin{scope}[xshift=\i*2cm, yshift=\j*2cm] + \node[zero] at ( 1, 0) {}; + \node[zero] at ( -1, 0) {}; + \node[pole] at ( 1,1) {}; + \node[pole] at ( -1,1) {}; + \end{scope} + } + } + \end{scope} + + \end{scope} + +\end{scope} + +\end{tikzpicture} -- cgit v1.2.1