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[] at (1.60000,4.12000) {$E(D)$};
3 \draw[fill=black!14,draw=black!40,line width=.35pt] (0.60000,2.70000) rectangle ++(1.00000,1.00000);
4 \node[] at (1.10000,3.20000) {$1$};
5 \draw[fill=black!14,draw=black!40,line width=.35pt] (1.60000,2.70000) rectangle ++(1.00000,1.00000);
6 \node[] at (2.10000,3.20000) {$D$};
7 \draw[fill=black!0,draw=black!40,line width=.35pt] (0.60000,1.70000) rectangle ++(1.00000,1.00000);
8 \node[] at (1.10000,2.20000) {$0$};
9 \draw[fill=black!14,draw=black!40,line width=.35pt] (1.60000,1.70000) rectangle ++(1.00000,1.00000);
10 \node[] at (2.10000,2.20000) {$1$};
11 \node[] at (5.70000,4.12000) {$R(D)$};
12 \draw[fill=black!14,draw=black!40,line width=.35pt] (4.70000,2.70000) rectangle ++(1.00000,1.00000);
13 \node[] at (5.20000,3.20000) {$1$};
14 \draw[fill=black!14,draw=black!40,line width=.35pt] (5.70000,2.70000) rectangle ++(1.00000,1.00000);
15 \node[] at (6.20000,3.20000) {$- D$};
16 \draw[fill=black!0,draw=black!40,line width=.35pt] (4.70000,1.70000) rectangle ++(1.00000,1.00000);
17 \node[] at (5.20000,2.20000) {$0$};
18 \draw[fill=black!14,draw=black!40,line width=.35pt] (5.70000,1.70000) rectangle ++(1.00000,1.00000);
19 \node[] at (6.20000,2.20000) {$1$};
20 \node[] at (9.50000,3.10000) {$R(D)E(D)=I$};
21 \node[] at (9.50000,1.90000) {every impulse is recovered};
22 \draw[black!30] (0.50000,1.10000) -- (12.60000,1.10000);
23 \node[] at (6.50000,0.45000) {$B(D)=\operatorname{diag}(D,1):\quad B(1)=I,\quad B(D)\ne I$};
24 \node[] at (6.50000,-0.20000) {testing one frequency cannot detect a channel delay};
25 \end{tikzpicture}

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