From 4fd4422b52f6377a82696ea67da9beb13d93e581 Mon Sep 17 00:00:00 2001 From: Nicolas Tobler Date: Sun, 15 May 2022 23:15:36 +0200 Subject: draft --- buch/papers/ellfilter/tikz/arccos.tikz.tex | 97 +++++++++++++++++++++++++++++ buch/papers/ellfilter/tikz/arccos2.tikz.tex | 46 ++++++++++++++ 2 files changed, 143 insertions(+) create mode 100644 buch/papers/ellfilter/tikz/arccos.tikz.tex create mode 100644 buch/papers/ellfilter/tikz/arccos2.tikz.tex (limited to 'buch/papers/ellfilter/tikz') diff --git a/buch/papers/ellfilter/tikz/arccos.tikz.tex b/buch/papers/ellfilter/tikz/arccos.tikz.tex new file mode 100644 index 0000000..2bdcc2d --- /dev/null +++ b/buch/papers/ellfilter/tikz/arccos.tikz.tex @@ -0,0 +1,97 @@ +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] + + + \draw[gray, ->] (0,-2) -- (0,2) node[anchor=south]{Im $z$}; + \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{Re $z$}; + + \begin{scope} + \draw[thick, ->, orange] (-1, 0) -- (0,0); + \draw[thick, ->, darkgreen] (0, 0) -- (0,1.5); + \draw[thick, ->, darkgreen] (0, 0) -- (0,-1.5); + \draw[thick, ->, orange] (1, 0) -- (0,0); + \draw[thick, ->, red] (2, 0) -- (1,0); + \draw[thick, ->, blue] (2,1.5) -- (2, 0); + \draw[thick, ->, blue] (2,-1.5) -- (2, 0); + \draw[thick, ->, red] (2, 0) -- (3,0); + + \node[anchor=south west] at (0,1.5) {$\infty$}; + \node[anchor=south west] at (0,-1.5) {$\infty$}; + \node[anchor=south west] at (0,0) {$1$}; + \node[anchor=south] at (1,0) {$0$}; + \node[anchor=south west] at (2,0) {$-1$}; + \node[anchor=south west] at (2,1.5) {$-\infty$}; + \node[anchor=south west] at (2,-1.5) {$-\infty$}; + \node[anchor=south west] at (3,0) {$0$}; + \end{scope} + + \begin{scope}[xshift=4cm] + \draw[thick, ->, orange] (-1, 0) -- (0,0); + \draw[thick, ->, darkgreen] (0, 0) -- (0,1.5); + \draw[thick, ->, darkgreen] (0, 0) -- (0,-1.5); + % \draw[thick, ->, orange] (1, 0) -- (0,0); + % \draw[thick, ->, red] (2, 0) -- (1,0); + % \draw[thick, ->, blue] (2,1.5) -- (2, 0); + % \draw[thick, ->, blue] (2,-1.5) -- (2, 0); + % \draw[thick, ->, red] (2, 0) -- (3,0); + + \node[anchor=south west] at (0,1.5) {$\infty$}; + \node[anchor=south west] at (0,-1.5) {$\infty$}; + \node[anchor=south west] at (0,0) {$1$}; + % \node[anchor=south] at (1,0) {$0$}; + % \node[anchor=south west] at (2,0) {$-1$}; + % \node[anchor=south west] at (2,1.5) {$-\infty$}; + % \node[anchor=south west] at (2,-1.5) {$-\infty$}; + % \node[anchor=south west] at (3,0) {$0$}; + \end{scope} + + \begin{scope}[xshift=-4cm] + % \draw[thick, ->, orange] (-1, 0) -- (0,0); + \draw[thick, ->, darkgreen] (0, 0) -- (0,1.5); + \draw[thick, ->, darkgreen] (0, 0) -- (0,-1.5); + \draw[thick, ->, orange] (1, 0) -- (0,0); + \draw[thick, ->, red] (2, 0) -- (1,0); + \draw[thick, ->, blue] (2,1.5) -- (2, 0); + \draw[thick, ->, blue] (2,-1.5) -- (2, 0); + \draw[thick, ->, red] (2, 0) -- (3,0); + + \node[anchor=south west] at (0,1.5) {$\infty$}; + \node[anchor=south west] at (0,-1.5) {$\infty$}; + \node[anchor=south west] at (0,0) {$1$}; + \node[anchor=south] at (1,0) {$0$}; + \node[anchor=south west] at (2,0) {$-1$}; + \node[anchor=south west] at (2,1.5) {$-\infty$}; + \node[anchor=south west] at (2,-1.5) {$-\infty$}; + \node[anchor=south west] at (3,0) {$0$}; + \end{scope} + + \node[gray, anchor=north west] at (-4,0) {$-2\pi$}; + \node[gray, anchor=north west] at (-2,0) {$-\pi$}; + \node[gray, anchor=north west] at (0,0) {$0$}; + \node[gray, anchor=north west] at (2,0) {$\pi$}; + \node[gray, anchor=north west] at (4,0) {$2\pi$}; + + + \node[gray, anchor=south east] at (0,-1.5) {$-\infty$}; + \node[gray, anchor=south east] at (0, 0) {$0$}; + \node[gray, anchor=south east] at (0, 1.5) {$\infty$}; + + + + \begin{scope}[yshift=-2.5cm] + + \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$w$}; + + \draw[thick, ->, blue] (-4, 0) -- (-2, 0); + \draw[thick, ->, red] (-2, 0) -- (0, 0); + \draw[thick, ->, orange] (0, 0) -- (2, 0); + \draw[thick, ->, darkgreen] (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 diff --git a/buch/papers/ellfilter/tikz/arccos2.tikz.tex b/buch/papers/ellfilter/tikz/arccos2.tikz.tex new file mode 100644 index 0000000..dcf02fd --- /dev/null +++ b/buch/papers/ellfilter/tikz/arccos2.tikz.tex @@ -0,0 +1,46 @@ +\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=0.5] + + \draw[gray, ->] (0,-2) -- (0,2) node[anchor=south]{Im $z$}; + \draw[gray, ->] (-10,0) -- (10,0) node[anchor=west]{Re $z$}; + + \begin{scope} + + \draw[>->, line width=0.05, thick, blue] (2, 1.5) -- (2,0.05) -- node[anchor=south, pos=0.5]{$N=1$} (0.1,0.05) -- (0.1,1.5); + \draw[>->, line width=0.05, thick, orange] (4, 1.5) -- (4,0) -- node[anchor=south, pos=0.25]{$N=2$} (0,0) -- (0,1.5); + \draw[>->, line width=0.05, thick, red] (6, 1.5) -- (6,-0.05) -- node[anchor=south, pos=0.1666]{$N=3$} (-0.1,-0.05) -- (-0.1,1.5); + + + \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} + +\end{tikzpicture} \ No newline at end of file -- cgit v1.2.1