From f4e1f6e84837c77dd49e6ec055efb1b110f7d573 Mon Sep 17 00:00:00 2001
From: Nicolas Tobler <nicolas.tobler@ost.ch>
Date: Mon, 30 May 2022 00:05:03 +0200
Subject: Added content, presentation

---
 buch/papers/ellfilter/tikz/cd.tikz.tex | 87 ++++++++++++++++++++++++++++++++++
 1 file changed, 87 insertions(+)
 create mode 100644 buch/papers/ellfilter/tikz/cd.tikz.tex

(limited to 'buch/papers/ellfilter/tikz/cd.tikz.tex')

diff --git a/buch/papers/ellfilter/tikz/cd.tikz.tex b/buch/papers/ellfilter/tikz/cd.tikz.tex
new file mode 100644
index 0000000..7155a85
--- /dev/null
+++ b/buch/papers/ellfilter/tikz/cd.tikz.tex
@@ -0,0 +1,87 @@
+\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=1, yscale=2]
+
+        \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);
+
+
+                \draw[thick, ->, darkgreen] (0, 0) -- (0,0.5);
+                \draw[thick, ->, orange] (1, 0) -- (0,0);
+                \draw[thick, ->, red] (2, 0) -- (1,0);
+                \draw[thick, ->, blue] (2,0.5) -- (2, 0);
+                \draw[thick, ->, purple] (1, 0.5) -- (2,0.5);
+                \draw[thick, ->, cyan] (0, 0.5) -- (1,0.5);
+
+
+
+                \foreach \i in {-2,...,1} {
+                    \foreach \j in {-2,...,1} {
+                        \begin{scope}[xshift=\i*4cm, yshift=\j*1cm]
+                            \draw[opacity=0.5, ->, darkgreen] (0, 0) -- (0,0.5);
+                            \draw[opacity=0.5, ->, orange] (1, 0) -- (0,0);
+                            \draw[opacity=0.5, ->, red] (2, 0) -- (1,0);
+                            \draw[opacity=0.5, ->, blue] (2,0.5) -- (2, 0);
+                            \draw[opacity=0.5, ->, purple] (1, 0.5) -- (2,0.5);
+                            \draw[opacity=0.5, ->, cyan] (0, 0.5) -- (1,0.5);
+                            \draw[opacity=0.5, ->, darkgreen] (0,1) -- (0,0.5);
+                            \draw[opacity=0.5, ->, blue] (2,0.5) -- (2, 1);
+                            \draw[opacity=0.5, ->, purple] (3, 0.5) -- (2,0.5);
+                            \draw[opacity=0.5, ->, cyan] (4, 0.5) -- (3,0.5);
+                            \draw[opacity=0.5, ->, red] (2, 0) -- (3,0);
+                            \draw[opacity=0.5, ->, orange] (3, 0) -- (4,0);
+
+                            \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}
+
+    \begin{scope}[yshift=-3.5cm, xscale=0.75]
+
+        \draw[gray, ->] (-6,0) -- (6,0) node[anchor=west]{$w$};
+
+        \draw[thick, ->, purple] (-5, 0) -- (-3, 0);
+        \draw[thick, ->, blue]      (-3, 0) -- (-2, 0);
+        \draw[thick, ->, red]       (-2, 0) -- (0, 0);
+        \draw[thick, ->, orange]    (0, 0) -- (2, 0);
+        \draw[thick, ->, darkgreen] (2, 0) -- (3, 0);
+        \draw[thick, ->, cyan] (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}
\ No newline at end of file
-- 
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