563489578934
Sec. 6–7 Bandpass Processes 455 p v (f) N 0 2 2B 0 –2 f c – f 2 – f c –f 1 0 f 1 f c f 2 2 f c (a) Bandpass Spectrum B 0 B 0 p v (f-f c ) f (c) Translated Bandpass Specturm N 0 2 –2 f c –f c –B 0 0 B 0 f c 2 f c (b) Translated Bandpass Specturm p v (f+f c ) N 0 2 –2 f c – f c –B 0 0 B 0 f c 2 f c p x (f)=p y (f) f f N 0 N 0 2 –2 f c –f c –B 0 0 B 0 f c 2 f c (d) Spectrum of Baseband Components p xy (f) p yx (f) = j j f N 0 2 –2 f c –f c –B 0 0 B 0 f c 2 f c N 0 2 f (e) Cross-spectrum of Baseband Components Figure 6–10 Spectra of random process for Example 6–11.
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Sec. 6–7 Bandpass Processes 455<br />
p v (f)<br />
N 0<br />
2<br />
2B 0<br />
–2 f c – f 2 – f c –f 1 0<br />
f 1 f c f 2 2 f c<br />
(a) Bandpass Spectrum<br />
B 0 B 0<br />
p v (f-f c )<br />
f<br />
(c) Translated Bandpass Specturm<br />
N 0<br />
2<br />
–2 f c –f c –B 0 0 B 0 f c<br />
2 f c<br />
(b) Translated Bandpass Specturm<br />
p v (f+f c )<br />
N 0<br />
2<br />
–2 f c – f c –B 0<br />
0 B 0 f c<br />
2 f c<br />
p x (f)=p y (f)<br />
f<br />
f<br />
N 0<br />
N 0<br />
2<br />
–2 f c –f c –B 0<br />
0 B 0 f c<br />
2 f c<br />
(d) Spectrum of Baseband Components<br />
p xy (f) p yx (f)<br />
= <br />
j j<br />
f<br />
N 0<br />
2<br />
–2 f c –f c<br />
–B 0 0 B 0 f c<br />
2 f c<br />
N<br />
0<br />
2<br />
f<br />
(e) Cross-spectrum of Baseband Components<br />
Figure 6–10 Spectra of random process for Example 6–11.