depth_two.tex

Paper V: Polyphase Signal Calculus

depth_two.tex

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \node[anchor=east] at (1.10000,3.75000) {$00$};
3 \draw[fill=black!18,draw=black!40,line width=.35pt] (1.40000,3.42000) rectangle ++(1.80000,0.65000);
4 \node[] at (2.30000,3.74500) {$\frac{1}{2}$};
5 \draw[fill=black!18,draw=black!40,line width=.35pt] (3.20000,3.42000) rectangle ++(1.80000,0.65000);
6 \node[] at (4.10000,3.74500) {$\frac{5}{2}$};
7 \draw[fill=black!18,draw=black!40,line width=.35pt] (5.00000,3.42000) rectangle ++(1.80000,0.65000);
8 \node[] at (5.90000,3.74500) {$\frac{13}{2}$};
9 \draw[fill=black!18,draw=black!40,line width=.35pt] (6.80000,3.42000) rectangle ++(1.80000,0.65000);
10 \node[] at (7.70000,3.74500) {$- \frac{1}{2}$};
11 \node[] at (10.90000,3.75000) {$49$};
12 \node[anchor=east] at (1.10000,2.85000) {$01$};
13 \draw[fill=black!18,draw=black!40,line width=.35pt] (1.40000,2.52000) rectangle ++(1.80000,0.65000);
14 \node[] at (2.30000,2.84500) {$- \frac{1}{4}$};
15 \draw[fill=black!18,draw=black!40,line width=.35pt] (3.20000,2.52000) rectangle ++(1.80000,0.65000);
16 \node[] at (4.10000,2.84500) {$- \frac{11}{4}$};
17 \draw[fill=black!18,draw=black!40,line width=.35pt] (5.00000,2.52000) rectangle ++(1.80000,0.65000);
18 \node[] at (5.90000,2.84500) {$- \frac{1}{4}$};
19 \draw[fill=black!18,draw=black!40,line width=.35pt] (6.80000,2.52000) rectangle ++(1.80000,0.65000);
20 \node[] at (7.70000,2.84500) {$\frac{1}{4}$};
21 \node[] at (10.90000,2.85000) {$\frac{31}{4}$};
22 \node[anchor=east] at (1.10000,1.95000) {$10$};
23 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.40000,1.62000) rectangle ++(1.80000,0.65000);
24 \node[] at (2.30000,1.94500) {$0$};
25 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.20000,1.62000) rectangle ++(1.80000,0.65000);
26 \node[] at (4.10000,1.94500) {$0$};
27 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.00000,1.62000) rectangle ++(1.80000,0.65000);
28 \node[] at (5.90000,1.94500) {$0$};
29 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.80000,1.62000) rectangle ++(1.80000,0.65000);
30 \node[] at (7.70000,1.94500) {$0$};
31 \node[] at (10.90000,1.95000) {$0$};
32 \node[anchor=east] at (1.10000,1.05000) {$11$};
33 \draw[fill=black!18,draw=black!40,line width=.35pt] (1.40000,0.72000) rectangle ++(1.80000,0.65000);
34 \node[] at (2.30000,1.04500) {$- \frac{1}{4}$};
35 \draw[fill=black!18,draw=black!40,line width=.35pt] (3.20000,0.72000) rectangle ++(1.80000,0.65000);
36 \node[] at (4.10000,1.04500) {$\frac{1}{4}$};
37 \draw[fill=black!18,draw=black!40,line width=.35pt] (5.00000,0.72000) rectangle ++(1.80000,0.65000);
38 \node[] at (5.90000,1.04500) {$- \frac{1}{4}$};
39 \draw[fill=black!18,draw=black!40,line width=.35pt] (6.80000,0.72000) rectangle ++(1.80000,0.65000);
40 \node[] at (7.70000,1.04500) {$\frac{1}{4}$};
41 \node[] at (10.90000,1.05000) {$\frac{1}{4}$};
42 \node[] at (5.00000,4.60000) {coefficient positions within each packet};
43 \node[] at (10.90000,4.60000) {energy};
44 \node[] at (6.25000,-0.30000) {$\sum_{\alpha\in\{0,1\}^2}W_\alpha^*W_\alpha=I_{16}$};
45 \end{tikzpicture}

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