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 (6.40000,4.85000) {FOUR PHASES: EVERY ADDRESS APPEARS ONCE};
3 \node[anchor=east] at (0.75000,3.75000) {$r=0$};
4 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.10000,3.42000) rectangle ++(2.20000,0.65000);
5 \node[] at (2.20000,3.74500) {$n=0:\ 0$};
6 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.30000,3.42000) rectangle ++(2.20000,0.65000);
7 \node[] at (4.40000,3.74500) {$n=4:\ 0$};
8 \draw[fill=black!12,draw=black!40,line width=.35pt] (5.50000,3.42000) rectangle ++(2.20000,0.65000);
9 \node[] at (6.60000,3.74500) {$n=8:\ 3$};
10 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.70000,3.42000) rectangle ++(2.20000,0.65000);
11 \node[] at (8.80000,3.74500) {$n=12:\ 0$};
12 \node[anchor=east] at (0.75000,2.95000) {$r=1$};
13 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.10000,2.62000) rectangle ++(2.20000,0.65000);
14 \node[] at (2.20000,2.94500) {$n=1:\ \frac{1}{4}$};
15 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.30000,2.62000) rectangle ++(2.20000,0.65000);
16 \node[] at (4.40000,2.94500) {$n=5:\ - \frac{1}{4}$};
17 \draw[fill=black!12,draw=black!40,line width=.35pt] (5.50000,2.62000) rectangle ++(2.20000,0.65000);
18 \node[] at (6.60000,2.94500) {$n=9:\ \frac{13}{4}$};
19 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.70000,2.62000) rectangle ++(2.20000,0.65000);
20 \node[] at (8.80000,2.94500) {$n=13:\ - \frac{1}{4}$};
21 \node[anchor=east] at (0.75000,2.15000) {$r=2$};
22 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.10000,1.82000) rectangle ++(2.20000,0.65000);
23 \node[] at (2.20000,2.14500) {$n=2:\ \frac{1}{2}$};
24 \draw[fill=black!12,draw=black!40,line width=.35pt] (3.30000,1.82000) rectangle ++(2.20000,0.65000);
25 \node[] at (4.40000,2.14500) {$n=6:\ \frac{5}{2}$};
26 \draw[fill=black!12,draw=black!40,line width=.35pt] (5.50000,1.82000) rectangle ++(2.20000,0.65000);
27 \node[] at (6.60000,2.14500) {$n=10:\ \frac{7}{2}$};
28 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.70000,1.82000) rectangle ++(2.20000,0.65000);
29 \node[] at (8.80000,2.14500) {$n=14:\ - \frac{1}{2}$};
30 \node[anchor=east] at (0.75000,1.35000) {$r=3$};
31 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.10000,1.02000) rectangle ++(2.20000,0.65000);
32 \node[] at (2.20000,1.34500) {$n=3:\ \frac{1}{4}$};
33 \draw[fill=black!12,draw=black!40,line width=.35pt] (3.30000,1.02000) rectangle ++(2.20000,0.65000);
34 \node[] at (4.40000,1.34500) {$n=7:\ \frac{11}{4}$};
35 \draw[fill=black!12,draw=black!40,line width=.35pt] (5.50000,1.02000) rectangle ++(2.20000,0.65000);
36 \node[] at (6.60000,1.34500) {$n=11:\ \frac{13}{4}$};
37 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.70000,1.02000) rectangle ++(2.20000,0.65000);
38 \node[] at (8.80000,1.34500) {$n=15:\ - \frac{1}{4}$};
39 \node[] at (11.90000,3.70000) {$n=4q+r$};
40 \node[] at (11.90000,2.50000) {$-1=4(-1)+3$};
41 \node[] at (11.90000,1.35000) {$-5=4(-2)+3$};
42 \node[] at (2.20000,-0.20000) {$q=0$};
43 \node[] at (4.40000,-0.20000) {$q=1$};
44 \node[] at (6.60000,-0.20000) {$q=2$};
45 \node[] at (8.80000,-0.20000) {$q=3$};
46 \end{tikzpicture}

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