Paper V: Polyphase Signal Calculus

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \node[anchor=west] at (0.20000,3.78000) {coarse $P_{2,0}$};
3 \draw[fill=black!22,draw=black!40,line width=.35pt] (3.00000,3.50000) rectangle ++(0.76000,0.56000);
4 \node[] at (3.38000,3.78000) {$0$};
5 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.76000,3.50000) rectangle ++(0.76000,0.56000);
6 \draw[fill=black!22,draw=black!40,line width=.35pt] (4.52000,3.50000) rectangle ++(0.76000,0.56000);
7 \node[] at (4.90000,3.78000) {$2$};
8 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.28000,3.50000) rectangle ++(0.76000,0.56000);
9 \draw[fill=black!22,draw=black!40,line width=.35pt] (6.04000,3.50000) rectangle ++(0.76000,0.56000);
10 \node[] at (6.42000,3.78000) {$4$};
11 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.80000,3.50000) rectangle ++(0.76000,0.56000);
12 \draw[fill=black!22,draw=black!40,line width=.35pt] (7.56000,3.50000) rectangle ++(0.76000,0.56000);
13 \node[] at (7.94000,3.78000) {$6$};
14 \draw[fill=black!0,draw=black!40,line width=.35pt] (8.32000,3.50000) rectangle ++(0.76000,0.56000);
15 \draw[fill=black!22,draw=black!40,line width=.35pt] (9.08000,3.50000) rectangle ++(0.76000,0.56000);
16 \node[] at (9.46000,3.78000) {$8$};
17 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.84000,3.50000) rectangle ++(0.76000,0.56000);
18 \draw[fill=black!22,draw=black!40,line width=.35pt] (10.60000,3.50000) rectangle ++(0.76000,0.56000);
19 \node[] at (10.98000,3.78000) {$10$};
20 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.36000,3.50000) rectangle ++(0.76000,0.56000);
21 \node[anchor=west] at (0.20000,2.63000) {fine $P_{4,0}$};
22 \draw[fill=black!22,draw=black!40,line width=.35pt] (3.00000,2.35000) rectangle ++(0.76000,0.56000);
23 \node[] at (3.38000,2.63000) {$0$};
24 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.76000,2.35000) rectangle ++(0.76000,0.56000);
25 \draw[fill=black!0,draw=black!40,line width=.35pt] (4.52000,2.35000) rectangle ++(0.76000,0.56000);
26 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.28000,2.35000) rectangle ++(0.76000,0.56000);
27 \draw[fill=black!22,draw=black!40,line width=.35pt] (6.04000,2.35000) rectangle ++(0.76000,0.56000);
28 \node[] at (6.42000,2.63000) {$4$};
29 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.80000,2.35000) rectangle ++(0.76000,0.56000);
30 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.56000,2.35000) rectangle ++(0.76000,0.56000);
31 \draw[fill=black!0,draw=black!40,line width=.35pt] (8.32000,2.35000) rectangle ++(0.76000,0.56000);
32 \draw[fill=black!22,draw=black!40,line width=.35pt] (9.08000,2.35000) rectangle ++(0.76000,0.56000);
33 \node[] at (9.46000,2.63000) {$8$};
34 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.84000,2.35000) rectangle ++(0.76000,0.56000);
35 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.60000,2.35000) rectangle ++(0.76000,0.56000);
36 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.36000,2.35000) rectangle ++(0.76000,0.56000);
37 \node[anchor=west] at (0.20000,1.48000) {fine $P_{4,2}$};
38 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.00000,1.20000) rectangle ++(0.76000,0.56000);
39 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.76000,1.20000) rectangle ++(0.76000,0.56000);
40 \draw[fill=black!22,draw=black!40,line width=.35pt] (4.52000,1.20000) rectangle ++(0.76000,0.56000);
41 \node[] at (4.90000,1.48000) {$2$};
42 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.28000,1.20000) rectangle ++(0.76000,0.56000);
43 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.04000,1.20000) rectangle ++(0.76000,0.56000);
44 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.80000,1.20000) rectangle ++(0.76000,0.56000);
45 \draw[fill=black!22,draw=black!40,line width=.35pt] (7.56000,1.20000) rectangle ++(0.76000,0.56000);
46 \node[] at (7.94000,1.48000) {$6$};
47 \draw[fill=black!0,draw=black!40,line width=.35pt] (8.32000,1.20000) rectangle ++(0.76000,0.56000);
48 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.08000,1.20000) rectangle ++(0.76000,0.56000);
49 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.84000,1.20000) rectangle ++(0.76000,0.56000);
50 \draw[fill=black!22,draw=black!40,line width=.35pt] (10.60000,1.20000) rectangle ++(0.76000,0.56000);
51 \node[] at (10.98000,1.48000) {$10$};
52 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.36000,1.20000) rectangle ++(0.76000,0.56000);
53 \node[font=\sffamily\footnotesize] at (3.38000,0.55000) {0};
54 \node[font=\sffamily\footnotesize] at (4.14000,0.55000) {1};
55 \node[font=\sffamily\footnotesize] at (4.90000,0.55000) {2};
56 \node[font=\sffamily\footnotesize] at (5.66000,0.55000) {3};
57 \node[font=\sffamily\footnotesize] at (6.42000,0.55000) {4};
58 \node[font=\sffamily\footnotesize] at (7.18000,0.55000) {5};
59 \node[font=\sffamily\footnotesize] at (7.94000,0.55000) {6};
60 \node[font=\sffamily\footnotesize] at (8.70000,0.55000) {7};
61 \node[font=\sffamily\footnotesize] at (9.46000,0.55000) {8};
62 \node[font=\sffamily\footnotesize] at (10.22000,0.55000) {9};
63 \node[font=\sffamily\footnotesize] at (10.98000,0.55000) {10};
64 \node[font=\sffamily\footnotesize] at (11.74000,0.55000) {11};
65 \node[] at (7.45000,4.45000) {$P_{2,0}=P_{4,0}+P_{4,2}$};
66 \node[] at (7.45000,-0.05000) {same original-sample axis $n$};
67 \end{tikzpicture}

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