dynamic_program.tex

Paper V: Polyphase Signal Calculus

dynamic_program.tex

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \draw[black!35] (6.50000,4.70000) -- (3.65000,3.45000);
3 \draw[black!35] (6.50000,4.70000) -- (9.35000,3.45000);
4 \draw[black!35] (3.65000,3.45000) -- (2.22500,2.20000);
5 \draw[black!35] (3.65000,3.45000) -- (5.07500,2.20000);
6 \draw[black!35] (9.35000,3.45000) -- (7.92500,2.20000);
7 \draw[black!35] (9.35000,3.45000) -- (10.77500,2.20000);
8 \draw[black!35] (2.22500,2.20000) -- (1.51250,0.95000);
9 \draw[black!35] (2.22500,2.20000) -- (2.93750,0.95000);
10 \draw[black!35] (5.07500,2.20000) -- (4.36250,0.95000);
11 \draw[black!35] (5.07500,2.20000) -- (5.78750,0.95000);
12 \draw[black!35] (7.92500,2.20000) -- (7.21250,0.95000);
13 \draw[black!35] (7.92500,2.20000) -- (8.63750,0.95000);
14 \draw[black!35] (10.77500,2.20000) -- (10.06250,0.95000);
15 \draw[black!35] (10.77500,2.20000) -- (11.48750,0.95000);
16 \node[draw,fill=black!0,line width=0.35pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (6.5000,4.7000) {$\varnothing$\\ $20\,|\,9$};
17 \node[draw,fill=black!0,line width=0.35pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (3.6500,3.4500) {$0$\\ $5\,|\,3$};
18 \node[draw,fill=black!0,line width=0.35pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (9.3500,3.4500) {$1$\\ $8\,|\,6$};
19 \node[draw,fill=black!18,line width=0.9pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (2.2250,2.2000) {$00$\\ $1\,|\,1$};
20 \node[draw,fill=black!18,line width=0.9pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (5.0750,2.2000) {$01$\\ $2\,|\,2$};
21 \node[draw,fill=black!0,line width=0.35pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (7.9250,2.2000) {$10$\\ $7\,|\,2$};
22 \node[draw,fill=black!18,line width=0.9pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (10.7750,2.2000) {$11$\\ $4\,|\,4$};
23 \node[draw,fill=black!0,line width=0.35pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (1.5125,0.9500) {$000$\\ $1\,|\,1$};
24 \node[draw,fill=black!0,line width=0.35pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (2.9375,0.9500) {$001$\\ $2\,|\,2$};
25 \node[draw,fill=black!0,line width=0.35pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (4.3625,0.9500) {$010$\\ $2\,|\,2$};
26 \node[draw,fill=black!0,line width=0.35pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (5.7875,0.9500) {$011$\\ $3\,|\,3$};
27 \node[draw,fill=black!18,line width=0.9pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (7.2125,0.9500) {$100$\\ $1\,|\,1$};
28 \node[draw,fill=black!18,line width=0.9pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (8.6375,0.9500) {$101$\\ $1\,|\,1$};
29 \node[draw,fill=black!0,line width=0.35pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (10.0625,0.9500) {$110$\\ $2\,|\,2$};
30 \node[draw,fill=black!0,line width=0.35pt,inner sep=2pt,font=\sffamily\scriptsize,align=center] at (11.4875,0.9500) {$111$\\ $3\,|\,3$};
31 \node[] at (6.50000,-0.15000) {node labels: stop cost $c_v$ $|$ optimal subtree cost $V(v)$};
32 \end{tikzpicture}

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