sparse_tail.tex

Paper V: Polyphase Signal Calculus

sparse_tail.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!12] (1.01250,0.80000) -- (1.01250,4.30000);
3 \node[font=\sffamily\footnotesize] at (1.01250,0.53000) {1};
4 \draw[black!12] (3.18750,0.80000) -- (3.18750,4.30000);
5 \node[font=\sffamily\footnotesize] at (3.18750,0.53000) {4};
6 \draw[black!12] (6.08750,0.80000) -- (6.08750,4.30000);
7 \node[font=\sffamily\footnotesize] at (6.08750,0.53000) {8};
8 \draw[black!12] (8.98750,0.80000) -- (8.98750,4.30000);
9 \node[font=\sffamily\footnotesize] at (8.98750,0.53000) {12};
10 \draw[black!12] (11.88750,0.80000) -- (11.88750,4.30000);
11 \node[font=\sffamily\footnotesize] at (11.88750,0.53000) {16};
12 \draw[black!12] (0.65000,0.80000) -- (12.25000,0.80000);
13 \node[anchor=east,font=\sffamily\footnotesize] at (0.51000,0.80000) {0};
14 \draw[black!12] (0.65000,1.59545) -- (12.25000,1.59545);
15 \node[anchor=east,font=\sffamily\footnotesize] at (0.51000,1.59545) {10};
16 \draw[black!12] (0.65000,2.39091) -- (12.25000,2.39091);
17 \node[anchor=east,font=\sffamily\footnotesize] at (0.51000,2.39091) {20};
18 \draw[black!12] (0.65000,3.98182) -- (12.25000,3.98182);
19 \node[anchor=east,font=\sffamily\footnotesize] at (0.51000,3.98182) {40};
20 \draw[->] (0.65000,0.80000) -- (12.38000,0.80000);
21 \draw[->] (0.65000,0.80000) -- (0.65000,4.43000);
22 \draw[fill=black!45,draw=black!40,line width=.35pt] (0.85250,0.80000) rectangle ++(0.32000,3.36080);
23 \draw[fill=black!45,draw=black!40,line width=.35pt] (1.57750,0.80000) rectangle ++(0.32000,0.60156);
24 \draw[fill=black!45,draw=black!40,line width=.35pt] (2.30250,0.80000) rectangle ++(0.32000,0.49716);
25 \draw[fill=black!45,draw=black!40,line width=.35pt] (3.02750,0.80000) rectangle ++(0.32000,0.01989);
26 \draw[fill=black!13,draw=black!40,line width=.35pt] (3.75250,0.80000) rectangle ++(0.32000,0.01989);
27 \draw[fill=black!13,draw=black!40,line width=.35pt] (4.47750,0.80000) rectangle ++(0.32000,0.00497);
28 \draw[fill=black!13,draw=black!40,line width=.35pt] (5.20250,0.80000) rectangle ++(0.32000,0.00497);
29 \draw[fill=black!13,draw=black!40,line width=.35pt] (5.92750,0.80000) rectangle ++(0.32000,0.00497);
30 \draw[fill=black!13,draw=black!40,line width=.35pt] (6.65250,0.80000) rectangle ++(0.32000,0.00497);
31 \draw[fill=black!13,draw=black!40,line width=.35pt] (7.37750,0.80000) rectangle ++(0.32000,0.00497);
32 \draw[fill=black!13,draw=black!40,line width=.35pt] (8.10250,0.80000) rectangle ++(0.32000,0.00497);
33 \draw[fill=black!13,draw=black!40,line width=.35pt] (8.82750,0.80000) rectangle ++(0.32000,0.00497);
34 \draw[fill=black!13,draw=black!40,line width=.35pt] (9.55250,0.80000) rectangle ++(0.32000,0.00000);
35 \draw[fill=black!13,draw=black!40,line width=.35pt] (10.27750,0.80000) rectangle ++(0.32000,0.00000);
36 \draw[fill=black!13,draw=black!40,line width=.35pt] (11.00250,0.80000) rectangle ++(0.32000,0.00000);
37 \draw[fill=black!13,draw=black!40,line width=.35pt] (11.72750,0.80000) rectangle ++(0.32000,0.00000);
38 \node[] at (6.20000,4.75000) {squared coefficient magnitude, sorted};
39 \node[] at (6.20000,0.08000) {keep 4: discarded energy $=11/16$; keep 12: exact recovery};
40 \end{tikzpicture}

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