diff options
Diffstat (limited to '')
-rw-r--r-- | buch/papers/ellfilter/tikz/arccos2.tikz.tex | 59 |
1 files changed, 45 insertions, 14 deletions
diff --git a/buch/papers/ellfilter/tikz/arccos2.tikz.tex b/buch/papers/ellfilter/tikz/arccos2.tikz.tex index 3fc3cc6..2cec75f 100644 --- a/buch/papers/ellfilter/tikz/arccos2.tikz.tex +++ b/buch/papers/ellfilter/tikz/arccos2.tikz.tex @@ -2,34 +2,45 @@ \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}} + \tikzstyle{dot} = [fill, circle, inner sep =0, minimum height=0.1cm] - \begin{scope}[xscale=0.5] - \draw[gray, ->] (0,-2) -- (0,2) node[anchor=south]{$\mathrm{Im}~z_1$}; - \draw[gray, ->] (-10,0) -- (10,0) node[anchor=west]{$\mathrm{Re}~z_1$}; + \begin{scope}[xscale=0.75] + + \draw[gray, ->] (0,-1) -- (0,2) node[anchor=south]{$\mathrm{Im}~z_1$}; + \draw[gray, ->] (-2,0) -- (9,0) node[anchor=west]{$\mathrm{Re}~z_1$}; \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) node[anchor=north west]{$-\infty$} -- (6,-0.05) node[anchor=west]{$-1$} -- node[anchor=north]{$0$} node[anchor=south, pos=0.1666]{$N=3$} (-0.1,-0.05) node[anchor=east]{$1$} -- (-0.1,1.5) node[anchor=north east]{$\infty$}; + \draw[->, ultra thick, blue] (8, 1.5) -- node[align=center]{Sperrbereich} (8,0); + \draw[->, ultra thick, cyan] (8, 0) -- node[yshift=-0.5cm]{Durchlassbereich}(4,0); + \draw[->, ultra thick, darkgreen] (4, 0) -- node[yshift=-0.5cm]{Durchlassbereich} (0,0); + \draw[->, ultra thick, orange] (0, 0) -- node[align=center]{Sperrbereich} (0,1.5); + + \node[anchor=north east] at (8, 1.5) {$-\infty$}; + \draw (8, 0) node[dot]{} node[anchor=south east] {$1$}; + \draw (6, 0) node[dot]{} node[anchor=south] {$-1$}; + \draw (4, 0) node[dot]{} node[anchor=south] {$1$}; + \draw (2, 0) node[dot]{} node[anchor=south] {$-1$}; + \draw (0, 0) node[dot]{} node[anchor=south west] {$1$}; + \node[anchor=north west] at (0, 1.5){$\infty$}; + \node at(4,1) {$N = 4$}; - \node[zero] at (-7,0) {}; - \node[zero] at (-5,0) {}; - \node[zero] at (-3,0) {}; + % \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 (-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) {$2\pi$}; @@ -37,9 +48,29 @@ \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) {$-\infty$}; \node[gray, anchor=east] at (0, 1.5) {$\infty$}; \end{scope} + \node[zero] at (6.5,2) (n) {}; + \node[anchor=west] at (n.east) {Nullstelle}; + + \begin{scope}[xshift=2.75cm, yshift=-2cm] + + \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$w$}; + + \draw[ultra thick, ->, blue] (-4, 0) -- (-2, 0); + \draw[ultra thick, ->, cyan] (-2, 0) -- (0, 0); + \draw[ultra thick, ->, darkgreen] (0, 0) -- (2, 0); + \draw[ultra thick, ->, orange] (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}
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