From 4fd4422b52f6377a82696ea67da9beb13d93e581 Mon Sep 17 00:00:00 2001
From: Nicolas Tobler <nicolas.tobler@ost.ch>
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

