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 ++++++++++++++++++++++++++++++ 1 file changed, 97 insertions(+) create mode 100644 buch/papers/ellfilter/tikz/arccos.tikz.tex (limited to 'buch/papers/ellfilter/tikz/arccos.tikz.tex') 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 -- cgit v1.2.1 From f4e1f6e84837c77dd49e6ec055efb1b110f7d573 Mon Sep 17 00:00:00 2001 From: Nicolas Tobler Date: Mon, 30 May 2022 00:05:03 +0200 Subject: Added content, presentation --- buch/papers/ellfilter/tikz/arccos.tikz.tex | 101 ++++++++++------------------- 1 file changed, 35 insertions(+), 66 deletions(-) (limited to 'buch/papers/ellfilter/tikz/arccos.tikz.tex') diff --git a/buch/papers/ellfilter/tikz/arccos.tikz.tex b/buch/papers/ellfilter/tikz/arccos.tikz.tex index 2bdcc2d..2772620 100644 --- a/buch/papers/ellfilter/tikz/arccos.tikz.tex +++ b/buch/papers/ellfilter/tikz/arccos.tikz.tex @@ -1,81 +1,49 @@ \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}} - \draw[gray, ->] (0,-2) -- (0,2) node[anchor=south]{Im $z$}; - \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{Re $z$}; + \draw[gray, ->] (0,-2) -- (0,2) node[anchor=south]{$\mathrm{Im}~z$}; + \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$\mathrm{Re}~z$}; - \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}[xscale=0.6] - \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} + \clip(-7.5,-2) rectangle (7.5,2); - \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) {$\infty$}; + \foreach \i in {-2,...,1} { + \begin{scope}[opacity=0.5, xshift=\i*4cm] + \draw[->, orange] (-1, 0) -- (0,0); + \draw[->, darkgreen] (0, 0) -- (0,1.5); + \draw[->, darkgreen] (0, 0) -- (0,-1.5); + \draw[->, orange] (1, 0) -- (0,0); + \draw[->, red] (2, 0) -- (1,0); + \draw[->, blue] (2,1.5) -- (2, 0); + \draw[->, blue] (2,-1.5) -- (2, 0); + \draw[->, red] (2, 0) -- (3,0); + + \node[zero] at (1,0) {}; + \node[zero] at (3,0) {}; + \end{scope} + } + + \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 (0,0) {$0$}; + \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=east] at (0,-1.5) {$-\infty$}; + % \node[gray, anchor=south east] at (0, 0) {$0$}; + \node[gray, anchor=east] at (0, 1.5) {$\infty$}; + \end{scope} \begin{scope}[yshift=-2.5cm] @@ -94,4 +62,5 @@ \end{scope} + \end{tikzpicture} \ No newline at end of file -- cgit v1.2.1