haar_alignment.tex

Paper V: Polyphase Signal Calculus

haar_alignment.tex

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \draw[black!12] (1.23462,1.05000) -- (1.23462,4.10000);
3 \node[font=\sffamily\footnotesize] at (1.23462,0.78000) {0};
4 \draw[black!12] (2.69615,1.05000) -- (2.69615,4.10000);
5 \node[font=\sffamily\footnotesize] at (2.69615,0.78000) {1};
6 \draw[black!12] (4.15769,1.05000) -- (4.15769,4.10000);
7 \node[font=\sffamily\footnotesize] at (4.15769,0.78000) {2};
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18 \draw[black!12] (0.65000,1.34516) -- (12.05000,1.34516);
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22 \draw[black!12] (0.65000,3.70645) -- (12.05000,3.70645);
23 \node[anchor=east,font=\sffamily\footnotesize] at (0.51000,3.70645) {6};
24 \draw[->] (0.65000,1.05000) -- (12.18000,1.05000);
25 \draw[->] (0.65000,1.05000) -- (0.65000,4.23000);
26 \draw[line width=.65pt] (1.23462,1.34516) -- (1.23462,1.44355);
27 \draw[fill=black] (1.23462,1.44355) circle (0.045);
28 \draw[line width=.65pt] (2.69615,1.34516) -- (2.69615,1.64032);
29 \draw[fill=black] (2.69615,1.64032) circle (0.045);
30 \draw[line width=.65pt] (4.15769,1.34516) -- (4.15769,1.24677);
31 \draw[fill=black] (4.15769,1.24677) circle (0.045);
32 \draw[line width=.65pt] (5.61923,1.34516) -- (5.61923,3.41129);
33 \draw[fill=black] (5.61923,3.41129) circle (0.045);
34 \draw[line width=.65pt] (7.08077,1.34516) -- (7.08077,3.80484);
35 \draw[fill=black] (7.08077,3.80484) circle (0.045);
36 \draw[line width=.65pt] (8.54231,1.34516) -- (8.54231,4.00161);
37 \draw[fill=black] (8.54231,4.00161) circle (0.045);
38 \draw[line width=.65pt] (10.00385,1.34516) -- (10.00385,1.24677);
39 \draw[fill=black] (10.00385,1.24677) circle (0.045);
40 \draw[line width=.65pt] (11.46538,1.34516) -- (11.46538,1.05000);
41 \draw[fill=black] (11.46538,1.05000) circle (0.045);
42 \draw[dashed] (1.48308,1.34516) -- (1.48308,1.24677);
43 \draw[fill=white,line width=.7pt] (1.48308,1.24677) circle (0.045);
44 \draw[dashed] (2.94462,1.34516) -- (2.94462,1.44355);
45 \draw[fill=white,line width=.7pt] (2.94462,1.44355) circle (0.045);
46 \draw[dashed] (4.40615,1.34516) -- (4.40615,1.44355);
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52 \draw[dashed] (8.79077,1.34516) -- (8.79077,1.44355);
53 \draw[fill=white,line width=.7pt] (8.79077,1.44355) circle (0.045);
54 \draw[dashed] (10.25231,1.34516) -- (10.25231,1.44355);
55 \draw[fill=white,line width=.7pt] (10.25231,1.44355) circle (0.045);
56 \draw[dashed] (11.71385,1.34516) -- (11.71385,1.24677);
57 \draw[fill=white,line width=.7pt] (11.71385,1.24677) circle (0.045);
58 \node[] at (6.10000,4.65000) {solid: $\sqrt2\,a[n]$\qquad open: $\sqrt2\,d[n]$};
59 \node[] at (6.10000,0.25000) {$\|f\|^2=57=\frac{227}{4}+\frac14$};
60 \end{tikzpicture}

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