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author | JODBaer <55744603+JODBaer@users.noreply.github.com> | 2022-08-26 18:44:54 +0200 |
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committer | GitHub <noreply@github.com> | 2022-08-26 18:44:54 +0200 |
commit | 3e1cf3941e789dd8ba198135d2aa4e6923aa0676 (patch) | |
tree | 4e5582e55d2b5d6fc3d54d58e1ce4664ada4c4d6 /buch/papers/ellfilter/tikz | |
parent | Merge branch 'master' of github.com:JODBaer/SeminarSpezielleFunktionen (diff) | |
parent | Merge pull request #70 from haddoucher/master (diff) | |
download | SeminarSpezielleFunktionen-3e1cf3941e789dd8ba198135d2aa4e6923aa0676.tar.gz SeminarSpezielleFunktionen-3e1cf3941e789dd8ba198135d2aa4e6923aa0676.zip |
Merge branch 'AndreasFMueller:master' into master
Diffstat (limited to '')
-rw-r--r-- | buch/papers/ellfilter/tikz/arccos.tikz.tex | 25 | ||||
-rw-r--r-- | buch/papers/ellfilter/tikz/arccos2.tikz.tex | 2 | ||||
-rw-r--r-- | buch/papers/ellfilter/tikz/cd.tikz.tex | 96 | ||||
-rw-r--r-- | buch/papers/ellfilter/tikz/cd2.tikz.tex | 13 | ||||
-rw-r--r-- | buch/papers/ellfilter/tikz/cd3.tikz.tex | 2 | ||||
-rw-r--r-- | buch/papers/ellfilter/tikz/elliptic_transform1.tikz.tex | 2 | ||||
-rw-r--r-- | buch/papers/ellfilter/tikz/elliptic_transform2.tikz.tex | 2 | ||||
-rw-r--r-- | buch/papers/ellfilter/tikz/filter.tikz.tex | 5 | ||||
-rw-r--r-- | buch/papers/ellfilter/tikz/fundamental_rectangle.tikz.tex | 2 | ||||
-rw-r--r-- | buch/papers/ellfilter/tikz/pn.tikz.tex | 63 | ||||
-rw-r--r-- | buch/papers/ellfilter/tikz/sn.tikz.tex | 105 |
11 files changed, 189 insertions, 128 deletions
diff --git a/buch/papers/ellfilter/tikz/arccos.tikz.tex b/buch/papers/ellfilter/tikz/arccos.tikz.tex index b11c25d..538ac35 100644 --- a/buch/papers/ellfilter/tikz/arccos.tikz.tex +++ b/buch/papers/ellfilter/tikz/arccos.tikz.tex @@ -1,4 +1,4 @@ -\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] \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}} @@ -22,6 +22,19 @@ \clip(-7.5,-2) rectangle (7.5,2); + \foreach \i in {-2,...,1} { + \begin{scope}[xshift=\i*4cm] + \draw[->, thick, darkgreen!50] (-1, 0) -- (0,0); + \draw[->, thick, orange!50] (0, 0) -- (0,1.5); + \draw[->, thick, orange!50] (0, 0) -- (0,-1.5); + \draw[->, thick, darkgreen!50] (1, 0) -- (0,0); + \draw[->, thick, cyan!50] (2, 0) -- (1,0); + \draw[->, thick, blue!50] (2,1.5) -- (2, 0); + \draw[->, thick, blue!50] (2,-1.5) -- (2, 0); + \draw[->, thick, cyan!50] (2, 0) -- (3,0); + \end{scope} + } + % \pause \draw[ultra thick, ->, darkgreen] (1, 0) -- (0,0); % \pause @@ -34,16 +47,6 @@ \foreach \i in {-2,...,1} { \begin{scope}[xshift=\i*4cm] - \begin{scope}[] - \draw[->, darkgreen] (-1, 0) -- (0,0); - \draw[->, orange] (0, 0) -- (0,1.5); - \draw[->, orange] (0, 0) -- (0,-1.5); - \draw[->, darkgreen] (1, 0) -- (0,0); - \draw[->, cyan] (2, 0) -- (1,0); - \draw[->, blue] (2,1.5) -- (2, 0); - \draw[->, blue] (2,-1.5) -- (2, 0); - \draw[->, cyan] (2, 0) -- (3,0); - \end{scope} \node[zero] at (1,0) {}; \node[zero] at (3,0) {}; \end{scope} diff --git a/buch/papers/ellfilter/tikz/arccos2.tikz.tex b/buch/papers/ellfilter/tikz/arccos2.tikz.tex index 2cec75f..d0e0430 100644 --- a/buch/papers/ellfilter/tikz/arccos2.tikz.tex +++ b/buch/papers/ellfilter/tikz/arccos2.tikz.tex @@ -1,4 +1,4 @@ -\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] \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}} diff --git a/buch/papers/ellfilter/tikz/cd.tikz.tex b/buch/papers/ellfilter/tikz/cd.tikz.tex index 0cf2417..ffe3b9c 100644 --- a/buch/papers/ellfilter/tikz/cd.tikz.tex +++ b/buch/papers/ellfilter/tikz/cd.tikz.tex @@ -1,4 +1,4 @@ -\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm] @@ -9,63 +9,59 @@ \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); - - \foreach \i in {-2,...,1} { - \foreach \j in {-2,...,1} { - \begin{scope}[xshift=\i*4cm, yshift=\j*1cm] - \draw[->, orange!50] (0, 0) -- (0,0.5); - \draw[->, darkgreen!50] (1, 0) -- (0,0); - \draw[->, cyan!50] (2, 0) -- (1,0); - \draw[->, blue!50] (2,0.5) -- (2, 0); - \draw[->, purple!50] (1, 0.5) -- (2,0.5); - \draw[->, red!50] (0, 0.5) -- (1,0.5); - \draw[->, orange!50] (0,1) -- (0,0.5); - \draw[->, blue!50] (2,0.5) -- (2, 1); - \draw[->, purple!50] (3, 0.5) -- (2,0.5); - \draw[->, red!50] (4, 0.5) -- (3,0.5); - \draw[->, cyan!50] (2, 0) -- (3,0); - \draw[->, darkgreen!50] (3, 0) -- (4,0); - \end{scope} - } + \begin{scope}[xshift=0cm] + + \clip(-4.5,-1.25) rectangle (4.5,1.25); + + \fill[yellow!30] (0,0) rectangle (1, 0.5); + + \foreach \i in {-2,...,1} { + \foreach \j in {-2,...,1} { + \begin{scope}[xshift=\i*4cm, yshift=\j*1cm] + \draw[->, thick, orange!50] (0, 0) -- (0,0.5); + \draw[->, thick, darkgreen!50] (1, 0) -- (0,0); + \draw[->, thick, cyan!50] (2, 0) -- (1,0); + \draw[->, thick, blue!50] (2,0.5) -- (2, 0); + \draw[->, thick, purple!50] (1, 0.5) -- (2,0.5); + \draw[->, thick, red!50] (0, 0.5) -- (1,0.5); + \draw[->, thick, orange!50] (0,1) -- (0,0.5); + \draw[->, thick, blue!50] (2,0.5) -- (2, 1); + \draw[->, thick, purple!50] (3, 0.5) -- (2,0.5); + \draw[->, thick, red!50] (4, 0.5) -- (3,0.5); + \draw[->, thick, cyan!50] (2, 0) -- (3,0); + \draw[->, thick, darkgreen!50] (3, 0) -- (4,0); + \end{scope} } - - \draw[ultra thick, ->, orange] (0, 0) -- (0,0.5); - \draw[ultra thick, ->, darkgreen] (1, 0) -- (0,0); - \draw[ultra thick, ->, cyan] (2, 0) -- (1,0); - \draw[ultra thick, ->, blue] (2,0.5) -- (2, 0); - \draw[ultra thick, ->, purple] (1, 0.5) -- (2,0.5); - \draw[ultra thick, ->, red] (0, 0.5) -- (1,0.5); - - \foreach \i in {-2,...,1} { - \foreach \j in {-2,...,1} { - \begin{scope}[xshift=\i*4cm, yshift=\j*1cm] - \node[zero] at ( 1, 0) {}; - \node[zero] at ( 3, 0) {}; - \node[pole] at ( 1,0.5) {}; - \node[pole] at ( 3,0.5) {}; - - \end{scope} - } + } + + \draw[ultra thick, ->, orange] (0, 0) -- (0,0.5); + \draw[ultra thick, ->, darkgreen] (1, 0) -- (0,0); + \draw[ultra thick, ->, cyan] (2, 0) -- (1,0); + \draw[ultra thick, ->, blue] (2,0.5) -- (2, 0); + \draw[ultra thick, ->, purple] (1, 0.5) -- (2,0.5); + \draw[ultra thick, ->, red] (0, 0.5) -- (1,0.5); + + \foreach \i in {-2,...,1} { + \foreach \j in {-2,...,1} { + \begin{scope}[xshift=\i*4cm, yshift=\j*1cm] + \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} + \draw[gray] ( 1,0) +(0,0.05) -- +(0, -0.05) node[inner sep=0, anchor=north west] {\small $K$}; + \draw[gray] (0, 0.5) +(0.1, 0) -- +(-0.1, 0) node[inner sep=0, anchor=south east]{\small $jK^\prime$}; + \end{scope} + \node[zero] at (4,3) (n) {}; \node[anchor=west] at (n.east) {Nullstelle}; \node[pole, below=0.25cm of n] (n) {}; diff --git a/buch/papers/ellfilter/tikz/cd2.tikz.tex b/buch/papers/ellfilter/tikz/cd2.tikz.tex index d4187c4..47efa53 100644 --- a/buch/papers/ellfilter/tikz/cd2.tikz.tex +++ b/buch/papers/ellfilter/tikz/cd2.tikz.tex @@ -1,4 +1,4 @@ -\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm] \tikzstyle{dot} = [fill, circle, inner sep =0, minimum height=0.1cm] @@ -7,11 +7,15 @@ \begin{scope}[xscale=1.25, yscale=3.5] + \fill[orange!30] (0,0) rectangle (5, 0.5); + % \fill[yellow!30] (0,0) rectangle (1, 0.1); + \node[] at (2.5, 0.25) {\small $N=5$}; + \draw[gray, ->] (0,-0.55) -- (0,1.05) node[anchor=south]{$\mathrm{Im}~z_1$}; \draw[gray, ->] (-1.5,0) -- (6,0) node[anchor=west]{$\mathrm{Re}~z_1$}; - \draw[gray] ( 1,0) +(0,0.05) -- +(0, -0.05) node[inner sep=0, anchor=north] {\small $K_1$}; - \draw[gray] ( 5,0) +(0,0.05) -- +(0, -0.05) node[inner sep=0, anchor=north] {\small $5K_1$}; + \draw[gray] ( 1,0) +(0,0.035) -- +(0, -0.035) node[inner sep=0, anchor=north] {\small $K_1$}; + \draw[gray] ( 5,0) +(0,0.035) -- +(0, -0.035) node[inner sep=0, anchor=north] {\small $5K_1$}; \draw[gray] (0, 0.5) +(0.1, 0) -- +(-0.1, 0) node[inner sep=0, anchor=east]{\small $jK^\prime_1$}; \begin{scope} @@ -34,9 +38,6 @@ % \node[] at (1.5, 0.25) {\small $N=2$}; % \node[] at (2.5, 0.25) {\small $N=3$}; - \fill[orange!30] (0,0) rectangle (5, 0.5); - % \fill[yellow!30] (0,0) rectangle (1, 0.1); - \node[] at (2.5, 0.25) {\small $N=5$}; \draw[decorate,decoration={brace,amplitude=3pt,mirror}, yshift=0.05cm] diff --git a/buch/papers/ellfilter/tikz/cd3.tikz.tex b/buch/papers/ellfilter/tikz/cd3.tikz.tex index ae18519..158a5ec 100644 --- a/buch/papers/ellfilter/tikz/cd3.tikz.tex +++ b/buch/papers/ellfilter/tikz/cd3.tikz.tex @@ -1,4 +1,4 @@ -\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm] \tikzstyle{dot} = [fill, circle, inner sep =0, minimum height=0.1cm] diff --git a/buch/papers/ellfilter/tikz/elliptic_transform1.tikz.tex b/buch/papers/ellfilter/tikz/elliptic_transform1.tikz.tex index 2a36ee0..329cadd 100644 --- a/buch/papers/ellfilter/tikz/elliptic_transform1.tikz.tex +++ b/buch/papers/ellfilter/tikz/elliptic_transform1.tikz.tex @@ -1,4 +1,4 @@ -\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm] diff --git a/buch/papers/ellfilter/tikz/elliptic_transform2.tikz.tex b/buch/papers/ellfilter/tikz/elliptic_transform2.tikz.tex index 20c2d82..31c40dc 100644 --- a/buch/papers/ellfilter/tikz/elliptic_transform2.tikz.tex +++ b/buch/papers/ellfilter/tikz/elliptic_transform2.tikz.tex @@ -4,7 +4,7 @@ \def\nn{2} \def\a{2.5} -\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm] \tikzstyle{dot} = [fill, circle, inner sep =0, minimum height=0.1cm] diff --git a/buch/papers/ellfilter/tikz/filter.tikz.tex b/buch/papers/ellfilter/tikz/filter.tikz.tex index 769602a..1232bf0 100644 --- a/buch/papers/ellfilter/tikz/filter.tikz.tex +++ b/buch/papers/ellfilter/tikz/filter.tikz.tex @@ -1,4 +1,4 @@ -\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm] @@ -14,8 +14,7 @@ \draw[gray, ->] (0,0) -- (0,1.25) node[anchor=south]{$|H(\Omega)|$}; \draw[gray, ->] (0,0) -- (2.75,0) node[anchor=west]{$\Omega$}; - \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[dashed] (0,0.707) node[left] {$\sqrt{\frac{1}{1+\varepsilon^2}}$} -- (1, 0.707) (1,0) node[below] {$\Omega_p$}; \node[left] at(0,1) {$1$}; diff --git a/buch/papers/ellfilter/tikz/fundamental_rectangle.tikz.tex b/buch/papers/ellfilter/tikz/fundamental_rectangle.tikz.tex index 921dbfa..1d1e45e 100644 --- a/buch/papers/ellfilter/tikz/fundamental_rectangle.tikz.tex +++ b/buch/papers/ellfilter/tikz/fundamental_rectangle.tikz.tex @@ -1,4 +1,4 @@ -\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm] diff --git a/buch/papers/ellfilter/tikz/pn.tikz.tex b/buch/papers/ellfilter/tikz/pn.tikz.tex new file mode 100644 index 0000000..5dd8fa4 --- /dev/null +++ b/buch/papers/ellfilter/tikz/pn.tikz.tex @@ -0,0 +1,63 @@ +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] + + \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm] + \tikzstyle{dot} = [fill, circle, inner sep =0, minimum height=0.1cm] + + \tikzset{pole/.style={cross out, draw=black, minimum size=(0.15cm-\pgflinewidth), inner sep=0pt, outer sep=0pt}} + + \begin{scope}[xscale=0.75, yscale=2.5] + + \fill[orange!30] (0,0) rectangle (5, 0.5); + % \fill[yellow!30] (0,0) rectangle (1, 0.1); + \node[] at (5, 0.25) {\small $N=5$}; + + \draw[gray, ->] (0,-0.25) -- (0,0.75) node[anchor=south]{$\mathrm{Im}~z$}; + \draw[gray, ->] (-1,0) -- (11,0) node[anchor=west]{$\mathrm{Re}~z$}; + + \draw[gray] ( 5,0) +(0,0.035) -- +(0, -0.035) 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} + + \draw[ultra thick, ->, purple] (5, 0.5) -- (10,0.5); + \draw[ultra thick, ->, blue] (10, 0.5) -- (10,0); + \draw[ultra thick, ->, cyan] (10, 0) -- (5,0); + \draw[ultra thick, ->, darkgreen] (5, 0) -- (0,0); + \draw[ultra thick, ->, orange] (-0, 0) -- (0,0.5); + \draw[ultra thick, ->, red] (0,0.5) -- (5, 0.5); + + \foreach \i in {1,...,5} { + \begin{scope}[xshift=(\i-1)*2cm] + \node[zero] at ( 1, 0) {}; + \node[anchor=south west] at ( 1, 0) {$n_\i$}; + \node[pole] at ( 1,0.5) {}; + \node[anchor=south west] at ( 1, 0.5) {$p_\i$}; + \end{scope} + } + + \end{scope} + + \end{scope} + + % \begin{scope}[yshift=-1.5cm, xshift=3.75cm, xscale=0.75] + + % \draw[gray, ->] (-6,0) -- (6,0) node[anchor=west]{$w$}; + + % \draw[ultra thick, ->, purple] (-5, 0) -- (-3, 0); + % \draw[ultra thick, ->, blue] (-3, 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) -- (3, 0); + % \draw[ultra thick, ->, red] (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} diff --git a/buch/papers/ellfilter/tikz/sn.tikz.tex b/buch/papers/ellfilter/tikz/sn.tikz.tex index 0546fda..c34b619 100644 --- a/buch/papers/ellfilter/tikz/sn.tikz.tex +++ b/buch/papers/ellfilter/tikz/sn.tikz.tex @@ -1,4 +1,4 @@ -\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2] +\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick] \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm] @@ -6,66 +6,65 @@ \begin{scope}[xscale=0.9, yscale=1.8] + \fill[yellow!30] (0,0) rectangle (1, 0.5); + \draw[gray, ->] (0,-1.5) -- (0,1.5) node[anchor=south]{$\mathrm{Im}~z$}; \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$\mathrm{Re}~z$}; - \begin{scope} - - \clip(-4.5,-1.25) rectangle (4.5,1.25); - - \fill[yellow!30] (0,0) rectangle (1, 0.5); - - \begin{scope}[xshift=-1cm] - - \foreach \i in {-2,...,2} { - \foreach \j in {-2,...,1} { - \begin{scope}[xshift=\i*4cm, yshift=\j*1cm] - \draw[<-, blue!50] (0, 0) -- (0,0.5); - \draw[<-, cyan!50] (1, 0) -- (0,0); - \draw[<-, darkgreen!50] (2, 0) -- (1,0); - \draw[<-, orange!50] (2,0.5) -- (2, 0); - \draw[<-, red!50] (1, 0.5) -- (2,0.5); - \draw[<-, purple!50] (0, 0.5) -- (1,0.5); - \draw[<-, blue!50] (0,1) -- (0,0.5); - \draw[<-, orange!50] (2,0.5) -- (2, 1); - \draw[<-, red!50] (3, 0.5) -- (2,0.5); - \draw[<-, purple!50] (4, 0.5) -- (3,0.5); - \draw[<-, darkgreen!50] (2, 0) -- (3,0); - \draw[<-, cyan!50] (3, 0) -- (4,0); - \end{scope} - } - } - % \pause - \draw[ultra thick, <-, darkgreen] (2, 0) -- (1,0); - % \pause - \draw[ultra thick, <-, orange] (2,0.5) -- (2, 0); - % \pause - \draw[ultra thick, <-, red] (1, 0.5) -- (2,0.5); - % \pause - \draw[ultra thick, <-, blue] (0, 0) -- (0,0.5); - \draw[ultra thick, <-, purple] (0, 0.5) -- (1,0.5); - \draw[ultra thick, <-, cyan] (1, 0) -- (0,0); - % \pause - - - \foreach \i in {-2,...,2} { - \foreach \j in {-2,...,1} { - \begin{scope}[xshift=\i*4cm, yshift=\j*1cm] - \node[zero] at ( 1, 0) {}; - \node[zero] at ( 3, 0) {}; - \node[pole] at ( 1,0.5) {}; - \node[pole] at ( 3,0.5) {}; - \end{scope} - } - } + \clip(-4.5,-1.25) rectangle (4.5,1.25); + - \end{scope} + \begin{scope}[xshift=-1cm] + + \foreach \i in {-2,...,2} { + \foreach \j in {-2,...,1} { + \begin{scope}[xshift=\i*4cm, yshift=\j*1cm] + \draw[<-, thick, blue!50] (0, 0) -- (0,0.5); + \draw[<-, thick, cyan!50] (1, 0) -- (0,0); + \draw[<-, thick, darkgreen!50] (2, 0) -- (1,0); + \draw[<-, thick, orange!50] (2,0.5) -- (2, 0); + \draw[<-, thick, red!50] (1, 0.5) -- (2,0.5); + \draw[<-, thick, purple!50] (0, 0.5) -- (1,0.5); + \draw[<-, thick, blue!50] (0,1) -- (0,0.5); + \draw[<-, thick, orange!50] (2,0.5) -- (2, 1); + \draw[<-, thick, red!50] (3, 0.5) -- (2,0.5); + \draw[<-, thick, purple!50] (4, 0.5) -- (3,0.5); + \draw[<-, thick, darkgreen!50] (2, 0) -- (3,0); + \draw[<-, thick, cyan!50] (3, 0) -- (4,0); + \end{scope} + } + } + + % \pause + \draw[ultra thick, <-, darkgreen] (2, 0) -- (1,0); + % \pause + \draw[ultra thick, <-, orange] (2,0.5) -- (2, 0); + % \pause + \draw[ultra thick, <-, red] (1, 0.5) -- (2,0.5); + % \pause + \draw[ultra thick, <-, blue] (0, 0) -- (0,0.5); + \draw[ultra thick, <-, purple] (0, 0.5) -- (1,0.5); + \draw[ultra thick, <-, cyan] (1, 0) -- (0,0); + % \pause + + + \foreach \i in {-2,...,2} { + \foreach \j in {-2,...,1} { + \begin{scope}[xshift=\i*4cm, yshift=\j*1cm] + \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} - \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 $jK^\prime$}; + + \draw[gray] ( 1,0) +(0,0.05) -- +(0, -0.05) node[inner sep=0, anchor=north west] {\small $K$}; + \draw[gray] (0, 0.5) +(0.1, 0) -- +(-0.1, 0) node[inner sep=0, anchor=south east]{\small $jK^\prime$}; \end{scope} |