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[anchor=east] at (0.65000,3.78000) {$\Omega$};
3 \draw[black!25] (1.00000,3.40000) -- (12.50000,3.40000);
4 \draw[fill=black!14,draw=black!40,line width=.35pt] (3.87500,3.50000) rectangle ++(5.75000,0.56000);
5 \node[anchor=east] at (0.65000,2.68000) {$\widehat\Omega$};
6 \draw[black!25] (1.00000,2.30000) -- (12.50000,2.30000);
7 \draw[fill=black!14,draw=black!40,line width=.35pt] (4.59375,2.40000) rectangle ++(5.75000,0.56000);
8 \node[anchor=east] at (0.65000,1.58000) {$\Omega\triangle\widehat\Omega$};
9 \draw[black!25] (1.00000,1.20000) -- (12.50000,1.20000);
10 \draw[fill=black!30,draw=black!40,line width=.35pt] (3.87500,1.30000) rectangle ++(0.71875,0.56000);
11 \draw[fill=black!30,draw=black!40,line width=.35pt] (9.62500,1.30000) rectangle ++(0.71875,0.56000);
12 \node[font=\sffamily\scriptsize] at (1.00000,0.37000) {$0$};
13 \node[font=\sffamily\scriptsize] at (3.87500,0.37000) {$\frac{1}{4}$};
14 \node[font=\sffamily\scriptsize] at (4.59375,0.37000) {$\frac{5}{16}$};
15 \node[font=\sffamily\scriptsize] at (9.62500,0.37000) {$\frac{3}{4}$};
16 \node[font=\sffamily\scriptsize] at (10.34375,0.37000) {$\frac{13}{16}$};
17 \node[font=\sffamily\scriptsize] at (12.50000,0.37000) {$1$};
18 \node[] at (6.70000,4.60000) {$\delta=1/16,\qquad\mu(\Omega\triangle\widehat\Omega)=2\delta=1/8$};
19 \node[] at (6.70000,-0.28000) {$\|j-\widehat j\|_1=3/8,\qquad\|j-\widehat j\|_2^2=9/8,\qquad\|j-\widehat j\|_\infty=3$};
20 \end{tikzpicture}

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