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 (6.50000,4.60000) {$F(x)[n]=x[n]+\tfrac12x[n]x[n-1]$};
3 \draw[fill=black!10,draw=black!40,line width=.35pt] (0.60000,2.70000) rectangle ++(5.70000,1.00000);
4 \node[] at (3.45000,3.20000) {$F_0[n]=e[n]+\tfrac12e[n]o[n-1]$};
5 \draw[fill=black!10,draw=black!40,line width=.35pt] (6.80000,2.70000) rectangle ++(5.70000,1.00000);
6 \node[] at (9.65000,3.20000) {$F_1[n]=o[n]+\tfrac12o[n]e[n]$};
7 \node[] at (3.45000,1.65000) {$e[1]=1/2,\quad o[0]=1/4$};
8 \node[] at (9.65000,1.65000) {$o[1]=1/4,\quad e[1]=1/2$};
9 \node[] at (3.45000,0.65000) {$F(x)[2]=9/16$};
10 \node[] at (9.65000,0.65000) {$F(x)[3]=5/16$};
11 \node[] at (6.50000,-0.20000) {phase wrap changes the neighbor address; it does not remove the mixed term};
12 \end{tikzpicture}

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