Paper V: Polyphase Signal Calculus

Download original file

This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.

Read the typeset paper

1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \node[] at (2.30000,4.50000) {$\Omega$};
3 \draw[fill=black!0,draw=black!40,line width=.35pt] (0.60000,0.65000) rectangle ++(0.42000,0.42000);
4 \draw[fill=black!0,draw=black!40,line width=.35pt] (0.60000,1.07000) rectangle ++(0.42000,0.42000);
5 \draw[fill=black!0,draw=black!40,line width=.35pt] (0.60000,1.49000) rectangle ++(0.42000,0.42000);
6 \draw[fill=black!0,draw=black!40,line width=.35pt] (0.60000,1.91000) rectangle ++(0.42000,0.42000);
7 \draw[fill=black!0,draw=black!40,line width=.35pt] (0.60000,2.33000) rectangle ++(0.42000,0.42000);
8 \draw[fill=black!0,draw=black!40,line width=.35pt] (0.60000,2.75000) rectangle ++(0.42000,0.42000);
9 \draw[fill=black!0,draw=black!40,line width=.35pt] (0.60000,3.17000) rectangle ++(0.42000,0.42000);
10 \draw[fill=black!0,draw=black!40,line width=.35pt] (0.60000,3.59000) rectangle ++(0.42000,0.42000);
11 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.02000,0.65000) rectangle ++(0.42000,0.42000);
12 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.02000,1.07000) rectangle ++(0.42000,0.42000);
13 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.02000,1.49000) rectangle ++(0.42000,0.42000);
14 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.02000,1.91000) rectangle ++(0.42000,0.42000);
15 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.02000,2.33000) rectangle ++(0.42000,0.42000);
16 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.02000,2.75000) rectangle ++(0.42000,0.42000);
17 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.02000,3.17000) rectangle ++(0.42000,0.42000);
18 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.02000,3.59000) rectangle ++(0.42000,0.42000);
19 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.44000,0.65000) rectangle ++(0.42000,0.42000);
20 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.44000,1.07000) rectangle ++(0.42000,0.42000);
21 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.44000,1.49000) rectangle ++(0.42000,0.42000);
22 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.44000,1.91000) rectangle ++(0.42000,0.42000);
23 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.44000,2.33000) rectangle ++(0.42000,0.42000);
24 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.44000,2.75000) rectangle ++(0.42000,0.42000);
25 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.44000,3.17000) rectangle ++(0.42000,0.42000);
26 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.44000,3.59000) rectangle ++(0.42000,0.42000);
27 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.86000,0.65000) rectangle ++(0.42000,0.42000);
28 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.86000,1.07000) rectangle ++(0.42000,0.42000);
29 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.86000,1.49000) rectangle ++(0.42000,0.42000);
30 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.86000,1.91000) rectangle ++(0.42000,0.42000);
31 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.86000,2.33000) rectangle ++(0.42000,0.42000);
32 \draw[fill=black!38,draw=black!40,line width=.35pt] (1.86000,2.75000) rectangle ++(0.42000,0.42000);
33 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.86000,3.17000) rectangle ++(0.42000,0.42000);
34 \draw[fill=black!0,draw=black!40,line width=.35pt] (1.86000,3.59000) rectangle ++(0.42000,0.42000);
35 \draw[fill=black!0,draw=black!40,line width=.35pt] (2.28000,0.65000) rectangle ++(0.42000,0.42000);
36 \draw[fill=black!38,draw=black!40,line width=.35pt] (2.28000,1.07000) rectangle ++(0.42000,0.42000);
37 \draw[fill=black!38,draw=black!40,line width=.35pt] (2.28000,1.49000) rectangle ++(0.42000,0.42000);
38 \draw[fill=black!38,draw=black!40,line width=.35pt] (2.28000,1.91000) rectangle ++(0.42000,0.42000);
39 \draw[fill=black!38,draw=black!40,line width=.35pt] (2.28000,2.33000) rectangle ++(0.42000,0.42000);
40 \draw[fill=black!38,draw=black!40,line width=.35pt] (2.28000,2.75000) rectangle ++(0.42000,0.42000);
41 \draw[fill=black!0,draw=black!40,line width=.35pt] (2.28000,3.17000) rectangle ++(0.42000,0.42000);
42 \draw[fill=black!0,draw=black!40,line width=.35pt] (2.28000,3.59000) rectangle ++(0.42000,0.42000);
43 \draw[fill=black!0,draw=black!40,line width=.35pt] (2.70000,0.65000) rectangle ++(0.42000,0.42000);
44 \draw[fill=black!0,draw=black!40,line width=.35pt] (2.70000,1.07000) rectangle ++(0.42000,0.42000);
45 \draw[fill=black!38,draw=black!40,line width=.35pt] (2.70000,1.49000) rectangle ++(0.42000,0.42000);
46 \draw[fill=black!38,draw=black!40,line width=.35pt] (2.70000,1.91000) rectangle ++(0.42000,0.42000);
47 \draw[fill=black!38,draw=black!40,line width=.35pt] (2.70000,2.33000) rectangle ++(0.42000,0.42000);
48 \draw[fill=black!0,draw=black!40,line width=.35pt] (2.70000,2.75000) rectangle ++(0.42000,0.42000);
49 \draw[fill=black!0,draw=black!40,line width=.35pt] (2.70000,3.17000) rectangle ++(0.42000,0.42000);
50 \draw[fill=black!0,draw=black!40,line width=.35pt] (2.70000,3.59000) rectangle ++(0.42000,0.42000);
51 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.12000,0.65000) rectangle ++(0.42000,0.42000);
52 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.12000,1.07000) rectangle ++(0.42000,0.42000);
53 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.12000,1.49000) rectangle ++(0.42000,0.42000);
54 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.12000,1.91000) rectangle ++(0.42000,0.42000);
55 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.12000,2.33000) rectangle ++(0.42000,0.42000);
56 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.12000,2.75000) rectangle ++(0.42000,0.42000);
57 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.12000,3.17000) rectangle ++(0.42000,0.42000);
58 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.12000,3.59000) rectangle ++(0.42000,0.42000);
59 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.54000,0.65000) rectangle ++(0.42000,0.42000);
60 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.54000,1.07000) rectangle ++(0.42000,0.42000);
61 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.54000,1.49000) rectangle ++(0.42000,0.42000);
62 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.54000,1.91000) rectangle ++(0.42000,0.42000);
63 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.54000,2.33000) rectangle ++(0.42000,0.42000);
64 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.54000,2.75000) rectangle ++(0.42000,0.42000);
65 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.54000,3.17000) rectangle ++(0.42000,0.42000);
66 \draw[fill=black!0,draw=black!40,line width=.35pt] (3.54000,3.59000) rectangle ++(0.42000,0.42000);
67 \node[] at (2.30000,0.12000) {21 pixels};
68 \node[] at (6.60000,4.50000) {$\widehat\Omega$};
69 \draw[fill=black!0,draw=black!40,line width=.35pt] (4.90000,0.65000) rectangle ++(0.42000,0.42000);
70 \draw[fill=black!0,draw=black!40,line width=.35pt] (4.90000,1.07000) rectangle ++(0.42000,0.42000);
71 \draw[fill=black!0,draw=black!40,line width=.35pt] (4.90000,1.49000) rectangle ++(0.42000,0.42000);
72 \draw[fill=black!0,draw=black!40,line width=.35pt] (4.90000,1.91000) rectangle ++(0.42000,0.42000);
73 \draw[fill=black!0,draw=black!40,line width=.35pt] (4.90000,2.33000) rectangle ++(0.42000,0.42000);
74 \draw[fill=black!0,draw=black!40,line width=.35pt] (4.90000,2.75000) rectangle ++(0.42000,0.42000);
75 \draw[fill=black!0,draw=black!40,line width=.35pt] (4.90000,3.17000) rectangle ++(0.42000,0.42000);
76 \draw[fill=black!0,draw=black!40,line width=.35pt] (4.90000,3.59000) rectangle ++(0.42000,0.42000);
77 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.32000,0.65000) rectangle ++(0.42000,0.42000);
78 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.32000,1.07000) rectangle ++(0.42000,0.42000);
79 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.32000,1.49000) rectangle ++(0.42000,0.42000);
80 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.32000,1.91000) rectangle ++(0.42000,0.42000);
81 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.32000,2.33000) rectangle ++(0.42000,0.42000);
82 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.32000,2.75000) rectangle ++(0.42000,0.42000);
83 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.32000,3.17000) rectangle ++(0.42000,0.42000);
84 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.32000,3.59000) rectangle ++(0.42000,0.42000);
85 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.74000,0.65000) rectangle ++(0.42000,0.42000);
86 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.74000,1.07000) rectangle ++(0.42000,0.42000);
87 \draw[fill=black!38,draw=black!40,line width=.35pt] (5.74000,1.49000) rectangle ++(0.42000,0.42000);
88 \draw[fill=black!38,draw=black!40,line width=.35pt] (5.74000,1.91000) rectangle ++(0.42000,0.42000);
89 \draw[fill=black!38,draw=black!40,line width=.35pt] (5.74000,2.33000) rectangle ++(0.42000,0.42000);
90 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.74000,2.75000) rectangle ++(0.42000,0.42000);
91 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.74000,3.17000) rectangle ++(0.42000,0.42000);
92 \draw[fill=black!0,draw=black!40,line width=.35pt] (5.74000,3.59000) rectangle ++(0.42000,0.42000);
93 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.16000,0.65000) rectangle ++(0.42000,0.42000);
94 \draw[fill=black!38,draw=black!40,line width=.35pt] (6.16000,1.07000) rectangle ++(0.42000,0.42000);
95 \draw[fill=black!38,draw=black!40,line width=.35pt] (6.16000,1.49000) rectangle ++(0.42000,0.42000);
96 \draw[fill=black!38,draw=black!40,line width=.35pt] (6.16000,1.91000) rectangle ++(0.42000,0.42000);
97 \draw[fill=black!38,draw=black!40,line width=.35pt] (6.16000,2.33000) rectangle ++(0.42000,0.42000);
98 \draw[fill=black!38,draw=black!40,line width=.35pt] (6.16000,2.75000) rectangle ++(0.42000,0.42000);
99 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.16000,3.17000) rectangle ++(0.42000,0.42000);
100 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.16000,3.59000) rectangle ++(0.42000,0.42000);
101 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.58000,0.65000) rectangle ++(0.42000,0.42000);
102 \draw[fill=black!38,draw=black!40,line width=.35pt] (6.58000,1.07000) rectangle ++(0.42000,0.42000);
103 \draw[fill=black!38,draw=black!40,line width=.35pt] (6.58000,1.49000) rectangle ++(0.42000,0.42000);
104 \draw[fill=black!38,draw=black!40,line width=.35pt] (6.58000,1.91000) rectangle ++(0.42000,0.42000);
105 \draw[fill=black!38,draw=black!40,line width=.35pt] (6.58000,2.33000) rectangle ++(0.42000,0.42000);
106 \draw[fill=black!38,draw=black!40,line width=.35pt] (6.58000,2.75000) rectangle ++(0.42000,0.42000);
107 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.58000,3.17000) rectangle ++(0.42000,0.42000);
108 \draw[fill=black!0,draw=black!40,line width=.35pt] (6.58000,3.59000) rectangle ++(0.42000,0.42000);
109 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.00000,0.65000) rectangle ++(0.42000,0.42000);
110 \draw[fill=black!38,draw=black!40,line width=.35pt] (7.00000,1.07000) rectangle ++(0.42000,0.42000);
111 \draw[fill=black!38,draw=black!40,line width=.35pt] (7.00000,1.49000) rectangle ++(0.42000,0.42000);
112 \draw[fill=black!38,draw=black!40,line width=.35pt] (7.00000,1.91000) rectangle ++(0.42000,0.42000);
113 \draw[fill=black!38,draw=black!40,line width=.35pt] (7.00000,2.33000) rectangle ++(0.42000,0.42000);
114 \draw[fill=black!38,draw=black!40,line width=.35pt] (7.00000,2.75000) rectangle ++(0.42000,0.42000);
115 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.00000,3.17000) rectangle ++(0.42000,0.42000);
116 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.00000,3.59000) rectangle ++(0.42000,0.42000);
117 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.42000,0.65000) rectangle ++(0.42000,0.42000);
118 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.42000,1.07000) rectangle ++(0.42000,0.42000);
119 \draw[fill=black!38,draw=black!40,line width=.35pt] (7.42000,1.49000) rectangle ++(0.42000,0.42000);
120 \draw[fill=black!38,draw=black!40,line width=.35pt] (7.42000,1.91000) rectangle ++(0.42000,0.42000);
121 \draw[fill=black!38,draw=black!40,line width=.35pt] (7.42000,2.33000) rectangle ++(0.42000,0.42000);
122 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.42000,2.75000) rectangle ++(0.42000,0.42000);
123 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.42000,3.17000) rectangle ++(0.42000,0.42000);
124 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.42000,3.59000) rectangle ++(0.42000,0.42000);
125 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.84000,0.65000) rectangle ++(0.42000,0.42000);
126 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.84000,1.07000) rectangle ++(0.42000,0.42000);
127 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.84000,1.49000) rectangle ++(0.42000,0.42000);
128 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.84000,1.91000) rectangle ++(0.42000,0.42000);
129 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.84000,2.33000) rectangle ++(0.42000,0.42000);
130 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.84000,2.75000) rectangle ++(0.42000,0.42000);
131 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.84000,3.17000) rectangle ++(0.42000,0.42000);
132 \draw[fill=black!0,draw=black!40,line width=.35pt] (7.84000,3.59000) rectangle ++(0.42000,0.42000);
133 \node[] at (6.60000,0.12000) {21 pixels};
134 \node[] at (10.90000,4.50000) {$\Omega\triangle\widehat\Omega$};
135 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.20000,0.65000) rectangle ++(0.42000,0.42000);
136 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.20000,1.07000) rectangle ++(0.42000,0.42000);
137 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.20000,1.49000) rectangle ++(0.42000,0.42000);
138 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.20000,1.91000) rectangle ++(0.42000,0.42000);
139 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.20000,2.33000) rectangle ++(0.42000,0.42000);
140 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.20000,2.75000) rectangle ++(0.42000,0.42000);
141 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.20000,3.17000) rectangle ++(0.42000,0.42000);
142 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.20000,3.59000) rectangle ++(0.42000,0.42000);
143 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.62000,0.65000) rectangle ++(0.42000,0.42000);
144 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.62000,1.07000) rectangle ++(0.42000,0.42000);
145 \draw[fill=black!38,draw=black!40,line width=.35pt] (9.62000,1.49000) rectangle ++(0.42000,0.42000);
146 \draw[fill=black!38,draw=black!40,line width=.35pt] (9.62000,1.91000) rectangle ++(0.42000,0.42000);
147 \draw[fill=black!38,draw=black!40,line width=.35pt] (9.62000,2.33000) rectangle ++(0.42000,0.42000);
148 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.62000,2.75000) rectangle ++(0.42000,0.42000);
149 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.62000,3.17000) rectangle ++(0.42000,0.42000);
150 \draw[fill=black!0,draw=black!40,line width=.35pt] (9.62000,3.59000) rectangle ++(0.42000,0.42000);
151 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.04000,0.65000) rectangle ++(0.42000,0.42000);
152 \draw[fill=black!38,draw=black!40,line width=.35pt] (10.04000,1.07000) rectangle ++(0.42000,0.42000);
153 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.04000,1.49000) rectangle ++(0.42000,0.42000);
154 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.04000,1.91000) rectangle ++(0.42000,0.42000);
155 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.04000,2.33000) rectangle ++(0.42000,0.42000);
156 \draw[fill=black!38,draw=black!40,line width=.35pt] (10.04000,2.75000) rectangle ++(0.42000,0.42000);
157 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.04000,3.17000) rectangle ++(0.42000,0.42000);
158 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.04000,3.59000) rectangle ++(0.42000,0.42000);
159 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.46000,0.65000) rectangle ++(0.42000,0.42000);
160 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.46000,1.07000) rectangle ++(0.42000,0.42000);
161 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.46000,1.49000) rectangle ++(0.42000,0.42000);
162 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.46000,1.91000) rectangle ++(0.42000,0.42000);
163 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.46000,2.33000) rectangle ++(0.42000,0.42000);
164 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.46000,2.75000) rectangle ++(0.42000,0.42000);
165 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.46000,3.17000) rectangle ++(0.42000,0.42000);
166 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.46000,3.59000) rectangle ++(0.42000,0.42000);
167 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.88000,0.65000) rectangle ++(0.42000,0.42000);
168 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.88000,1.07000) rectangle ++(0.42000,0.42000);
169 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.88000,1.49000) rectangle ++(0.42000,0.42000);
170 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.88000,1.91000) rectangle ++(0.42000,0.42000);
171 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.88000,2.33000) rectangle ++(0.42000,0.42000);
172 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.88000,2.75000) rectangle ++(0.42000,0.42000);
173 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.88000,3.17000) rectangle ++(0.42000,0.42000);
174 \draw[fill=black!0,draw=black!40,line width=.35pt] (10.88000,3.59000) rectangle ++(0.42000,0.42000);
175 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.30000,0.65000) rectangle ++(0.42000,0.42000);
176 \draw[fill=black!38,draw=black!40,line width=.35pt] (11.30000,1.07000) rectangle ++(0.42000,0.42000);
177 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.30000,1.49000) rectangle ++(0.42000,0.42000);
178 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.30000,1.91000) rectangle ++(0.42000,0.42000);
179 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.30000,2.33000) rectangle ++(0.42000,0.42000);
180 \draw[fill=black!38,draw=black!40,line width=.35pt] (11.30000,2.75000) rectangle ++(0.42000,0.42000);
181 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.30000,3.17000) rectangle ++(0.42000,0.42000);
182 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.30000,3.59000) rectangle ++(0.42000,0.42000);
183 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.72000,0.65000) rectangle ++(0.42000,0.42000);
184 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.72000,1.07000) rectangle ++(0.42000,0.42000);
185 \draw[fill=black!38,draw=black!40,line width=.35pt] (11.72000,1.49000) rectangle ++(0.42000,0.42000);
186 \draw[fill=black!38,draw=black!40,line width=.35pt] (11.72000,1.91000) rectangle ++(0.42000,0.42000);
187 \draw[fill=black!38,draw=black!40,line width=.35pt] (11.72000,2.33000) rectangle ++(0.42000,0.42000);
188 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.72000,2.75000) rectangle ++(0.42000,0.42000);
189 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.72000,3.17000) rectangle ++(0.42000,0.42000);
190 \draw[fill=black!0,draw=black!40,line width=.35pt] (11.72000,3.59000) rectangle ++(0.42000,0.42000);
191 \draw[fill=black!0,draw=black!40,line width=.35pt] (12.14000,0.65000) rectangle ++(0.42000,0.42000);
192 \draw[fill=black!0,draw=black!40,line width=.35pt] (12.14000,1.07000) rectangle ++(0.42000,0.42000);
193 \draw[fill=black!0,draw=black!40,line width=.35pt] (12.14000,1.49000) rectangle ++(0.42000,0.42000);
194 \draw[fill=black!0,draw=black!40,line width=.35pt] (12.14000,1.91000) rectangle ++(0.42000,0.42000);
195 \draw[fill=black!0,draw=black!40,line width=.35pt] (12.14000,2.33000) rectangle ++(0.42000,0.42000);
196 \draw[fill=black!0,draw=black!40,line width=.35pt] (12.14000,2.75000) rectangle ++(0.42000,0.42000);
197 \draw[fill=black!0,draw=black!40,line width=.35pt] (12.14000,3.17000) rectangle ++(0.42000,0.42000);
198 \draw[fill=black!0,draw=black!40,line width=.35pt] (12.14000,3.59000) rectangle ++(0.42000,0.42000);
199 \node[] at (10.90000,0.12000) {10 pixels};
200 \end{tikzpicture}

Back to source controls

Back to Paper V: Polyphase Signal Calculus