From efa82f7edc7345c29c2d44674d8c8d8ad8741548 Mon Sep 17 00:00:00 2001 From: Nicolas Tobler Date: Sat, 13 Aug 2022 19:32:21 +0200 Subject: corrections --- buch/papers/ellfilter/tikz/arccos.tikz.tex | 9 +++++++-- buch/papers/ellfilter/tikz/arccos2.tikz.tex | 19 ++++++++++++++++++- buch/papers/ellfilter/tikz/cd.tikz.tex | 4 ++-- buch/papers/ellfilter/tikz/cd2.tikz.tex | 15 +++++++++++++++ buch/papers/ellfilter/tikz/filter.tikz.tex | 26 ++++++++++++++++---------- buch/papers/ellfilter/tikz/sn.tikz.tex | 4 ++-- 6 files changed, 60 insertions(+), 17 deletions(-) (limited to 'buch/papers/ellfilter/tikz') diff --git a/buch/papers/ellfilter/tikz/arccos.tikz.tex b/buch/papers/ellfilter/tikz/arccos.tikz.tex index a139fc4..b11c25d 100644 --- a/buch/papers/ellfilter/tikz/arccos.tikz.tex +++ b/buch/papers/ellfilter/tikz/arccos.tikz.tex @@ -52,9 +52,14 @@ \end{scope} \node[zero] at (4,2) (n) {}; - \node[anchor=west] at (n.east) {Zero}; + \node[anchor=west] at (n.east) {Nullstelle}; - \begin{scope}[yshift=-3cm] + \begin{scope}[yshift=-3.25cm] + + \draw[->, thick](0,0) -- node[anchor=center, fill=white]{$z = \cos^{-1}(w)$} (0,1); + + \end{scope} + \begin{scope}[yshift=-4cm] \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$w$}; diff --git a/buch/papers/ellfilter/tikz/arccos2.tikz.tex b/buch/papers/ellfilter/tikz/arccos2.tikz.tex index c3f11bb..2cec75f 100644 --- a/buch/papers/ellfilter/tikz/arccos2.tikz.tex +++ b/buch/papers/ellfilter/tikz/arccos2.tikz.tex @@ -54,6 +54,23 @@ \end{scope} \node[zero] at (6.5,2) (n) {}; - \node[anchor=west] at (n.east) {Zero}; + \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} \ No newline at end of file diff --git a/buch/papers/ellfilter/tikz/cd.tikz.tex b/buch/papers/ellfilter/tikz/cd.tikz.tex index cc5852c..0cf2417 100644 --- a/buch/papers/ellfilter/tikz/cd.tikz.tex +++ b/buch/papers/ellfilter/tikz/cd.tikz.tex @@ -67,9 +67,9 @@ \end{scope} \node[zero] at (4,3) (n) {}; - \node[anchor=west] at (n.east) {Zero}; + \node[anchor=west] at (n.east) {Nullstelle}; \node[pole, below=0.25cm of n] (n) {}; - \node[anchor=west] at (n.east) {Pole}; + \node[anchor=west] at (n.east) {Polstelle}; \begin{scope}[yshift=-4cm, xscale=0.75] diff --git a/buch/papers/ellfilter/tikz/cd2.tikz.tex b/buch/papers/ellfilter/tikz/cd2.tikz.tex index bba5789..d4187c4 100644 --- a/buch/papers/ellfilter/tikz/cd2.tikz.tex +++ b/buch/papers/ellfilter/tikz/cd2.tikz.tex @@ -76,4 +76,19 @@ \end{scope} + \begin{scope}[xshift=1cm , yshift=-3cm, xscale=0.75] + + \draw[gray, ->] (-1,0) -- (6,0) node[anchor=west]{$w$}; + + \draw[ultra thick, ->, darkgreen] (0, 0) -- (2, 0); + \draw[ultra thick, ->, orange] (2, 0) -- (3, 0); + \draw[ultra thick, ->, red] (3, 0) -- (5, 0); + + \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 diff --git a/buch/papers/ellfilter/tikz/filter.tikz.tex b/buch/papers/ellfilter/tikz/filter.tikz.tex index 05b59b9..769602a 100644 --- a/buch/papers/ellfilter/tikz/filter.tikz.tex +++ b/buch/papers/ellfilter/tikz/filter.tikz.tex @@ -4,22 +4,28 @@ \tikzset{pole/.style={cross out, draw=black, minimum size=(0.15cm-\pgflinewidth), inner sep=0pt, outer sep=0pt}} - \begin{scope}[xscale=2, yscale=2] + \begin{scope}[xscale=3, yscale=2.5] - \fill[ gray!20] (0,0) rectangle (1,0.707); + \fill[darkgreen!15] (0,0) rectangle (1,1); + \node[darkgreen] at (0.5,0.5) {Durchlassbereich}; + \fill[orange!15] (1,0) rectangle (2.5,1); + \node[orange] at (1.75,0.5) {Sperrbereich}; - \draw[gray, ->] (0,-0.25) -- (0,1.25) node[anchor=south]{$|H(\Omega)|$}; - \draw[gray, ->] (-0.25,0) -- (3,0) node[anchor=west]{$\Omega$}; + \draw[gray, ->] (0,0) -- (0,1.25) node[anchor=south]{$|H(\Omega)|$}; + \draw[gray, ->] (0,0) -- (2.75,0) node[anchor=west]{$\Omega$}; - \draw[fill = gray!20] (0,0.707) node[left] {$\sqrt{\frac{1}{1+\varepsilon^2}}$} -| (1,0) node[below] {$\Omega_p$}; + \draw[dashed] (0,0.707) node[left] {$\sqrt{\frac{1}{1+\varepsilon^2}}$} -| (1,0) node[below] {$\Omega_p$}; + \draw[dashed] (0,0.707) node[left] {$\sqrt{\frac{1}{1+\varepsilon^2}}$} -| (1,0) node[below] {$\Omega_p$}; - \draw[fill = gray!20] (0,0.707) node[left] {$\sqrt{\frac{1}{1+\varepsilon^2}}$} -| (1,0) node[below] {$\Omega_p$}; + \node[left] at(0,1) {$1$}; - \begin{scope}[] - \draw[thick, domain=0:2.5, variable=\x, smooth, samples=200] plot - ({\x}, {sqrt(abs(1/ (1 + \x^10)))}); + \draw[red, thick] (0,1) -- (1,1) -- (1,0) -- (2.5,0); - \end{scope} + \node[anchor=north, red] at (0.5,1) {Ideal}; + + \draw[thick, domain=0:2.5, variable=\x, smooth, samples=200] plot + ({\x}, {sqrt(abs(1/ (1 + \x^10)))}); + \node[anchor=south] at (0.5,1) {Butterworth ($N=5$)}; \end{scope} diff --git a/buch/papers/ellfilter/tikz/sn.tikz.tex b/buch/papers/ellfilter/tikz/sn.tikz.tex index c3df8d1..0546fda 100644 --- a/buch/papers/ellfilter/tikz/sn.tikz.tex +++ b/buch/papers/ellfilter/tikz/sn.tikz.tex @@ -70,9 +70,9 @@ \end{scope} \node[zero] at (4,3) (n) {}; - \node[anchor=west] at (n.east) {Zero}; + \node[anchor=west] at (n.east) {Nullstelle}; \node[pole, below=0.25cm of n] (n) {}; - \node[anchor=west] at (n.east) {Pole}; + \node[anchor=west] at (n.east) {Polstelle}; \begin{scope}[yshift=-4cm, xscale=0.75] -- cgit v1.2.1