cayley_orbit.tex

Paper V: Polyphase Signal Calculus

cayley_orbit.tex

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \draw[->] (0.85000,2.80000) -- (5.00000,2.80000);
3 \draw[->] (2.85000,0.80000) -- (2.85000,4.95000);
4 \draw[black!35] (2.85,2.8) circle (1.6);
5 \draw[black!35] (2.85,2.8) circle (0.8);
6 \draw[fill=black] (3.65000,2.80000) circle (0.06);
7 \node[font=\sffamily\footnotesize,fill=white,inner sep=1pt] at (4.00000,2.80000) {$1/2$};
8 \draw[fill=black] (2.85000,3.60000) circle (0.06);
9 \node[font=\sffamily\footnotesize,fill=white,inner sep=1pt] at (2.85000,3.95000) {$i/2$};
10 \draw[fill=black] (2.05000,2.80000) circle (0.06);
11 \node[font=\sffamily\footnotesize,fill=white,inner sep=1pt] at (1.70000,2.80000) {$-1/2$};
12 \draw[fill=black] (2.85000,2.00000) circle (0.06);
13 \node[font=\sffamily\footnotesize,fill=white,inner sep=1pt] at (2.85000,1.65000) {$-i/2$};
14 \node[] at (2.85000,5.60000) {reflection coordinate $\Gamma$};
15 \draw[black!12] (7.30000,0.50000) -- (7.30000,5.00000);
16 \node[font=\sffamily\footnotesize] at (7.30000,0.23000) {0};
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20 \node[font=\sffamily\footnotesize] at (10.30000,0.23000) {2};
21 \draw[black!12] (11.80000,0.50000) -- (11.80000,5.00000);
22 \node[font=\sffamily\footnotesize] at (11.80000,0.23000) {3};
23 \draw[black!12] (7.30000,1.25000) -- (12.10000,1.25000);
24 \node[anchor=east,font=\sffamily\footnotesize] at (7.16000,1.25000) {$-i$};
25 \draw[black!12] (7.30000,2.75000) -- (12.10000,2.75000);
26 \node[anchor=east,font=\sffamily\footnotesize] at (7.16000,2.75000) {0};
27 \draw[black!12] (7.30000,4.25000) -- (12.10000,4.25000);
28 \node[anchor=east,font=\sffamily\footnotesize] at (7.16000,4.25000) {$i$};
29 \draw[->] (7.30000,0.50000) -- (12.23000,0.50000);
30 \draw[->] (7.30000,0.50000) -- (7.30000,5.13000);
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32 \draw[fill=black] (11.80000,2.75000) circle (0.065);
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34 \draw[fill=black] (7.80000,2.75000) circle (0.065);
35 \draw[fill=black] (8.20000,1.55000) circle (0.065);
36 \node[] at (9.80000,5.60000) {normalized impedance $z$};
37 \node[] at (6.40000,-0.40000) {$3,\quad \tfrac35+\tfrac45i,\quad\tfrac13,\quad\tfrac35-\tfrac45i$};
38 \end{tikzpicture}

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