sample_delay.tex

Paper V: Polyphase Signal Calculus

sample_delay.tex

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \node[] at (1.75000,4.02000) {one original sample};
3 \draw[fill=black!0,draw=black!40,line width=.35pt] (0.70000,2.55000) rectangle ++(1.05000,1.05000);
4 \node[] at (1.22500,3.07500) {$0$};
5 \draw[fill=black!14,draw=black!40,line width=.35pt] (1.75000,2.55000) rectangle ++(1.05000,1.05000);
6 \node[] at (2.27500,3.07500) {$D$};
7 \draw[fill=black!14,draw=black!40,line width=.35pt] (0.70000,1.50000) rectangle ++(1.05000,1.05000);
8 \node[] at (1.22500,2.02500) {$1$};
9 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.75000,1.50000) rectangle ++(1.05000,1.05000);
10 \node[] at (2.27500,2.02500) {$0$};
11 \node[] at (4.20000,2.60000) {$J(D)^2=$};
12 \node[] at (6.45000,4.02000) {two original samples};
13 \draw[fill=black!14,draw=black!40,line width=.35pt] (5.40000,2.55000) rectangle ++(1.05000,1.05000);
14 \node[] at (5.92500,3.07500) {$D$};
15 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.45000,2.55000) rectangle ++(1.05000,1.05000);
16 \node[] at (6.97500,3.07500) {$0$};
17 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.40000,1.50000) rectangle ++(1.05000,1.05000);
18 \node[] at (5.92500,2.02500) {$0$};
19 \draw[fill=black!14,draw=black!40,line width=.35pt] (6.45000,1.50000) rectangle ++(1.05000,1.05000);
20 \node[] at (6.97500,2.02500) {$D$};
21 \node[] at (10.60000,3.50000) {$\delta_0\mapsto\delta_1$};
22 \node[] at (10.60000,2.25000) {$\delta_0\mapsto\delta_2$};
23 \node[] at (6.40000,0.35000) {$y_0[n]=x_1[n-1],\quad y_1[n]=x_0[n]$};
24 \node[] at (6.40000,-0.25000) {channel delay $1$ at $N=2$ is original-sample delay $2$};
25 \end{tikzpicture}

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