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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.

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.

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