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508<br />

Upper channel<br />

Receiver<br />

r(t)=s(t)+n(t)<br />

(<br />

(<br />

s 1 (t)<br />

r(t)= or +n(t)<br />

+<br />

s 2 (t)<br />

Low-pass filter<br />

2 cos (<br />

r 0 (t) Sample r 0 (t 0 )<br />

1 t+¨c )<br />

or<br />

N<br />

and<br />

where p 0<br />

n (f)= matched filter<br />

hold<br />

2 Lower channel<br />

H(f)<br />

Baseband<br />

analog output<br />

Threshold<br />

device<br />

(comparator)<br />

~ m m ~<br />

0<br />

V T<br />

r 0<br />

Digital<br />

output<br />

2 cos ( 2 t+¨c )<br />

(a) Receiver<br />

Spectrum of s 2 (t)<br />

Spectrum of n 2 (t)<br />

Spectrum of s 1 (t)<br />

2∆F<br />

Spectrum of n 1 (t)<br />

B<br />

N 0 /2<br />

R=<br />

1<br />

T<br />

f 2 f c<br />

f 1<br />

(b) Power Spectra for Positive Frequencies<br />

Figure 7–8<br />

B p =2B<br />

Coherent detection of an FSK signal.

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