(a) In a coherent FSK system, the signals s1 (t) and s2 (t) representing symbols 1 and 0, respectively, are defined by assuming that fc > ?f, show that the correlation coefficient of the signals s1 (t) is approximately given by

(b) What is the minimum value of frequency shift ?f for which the signals s1 (t) and s2 (t) are orthogonal?

(c) What is the value of ?f that minimizes the average probability of symbol error?

(d) For the value of ?f obtained in part (c), determine the increase In Eb/N0 required so that this coherent FSK system has the same noise performance as a coherent binary PSK system.

Transcribed Image Text:

$1(t), s2(t) = A, cos 27| 0sts T, $(t)s2(t) dt * sinc(2AfT,) | sit) dt si(t) dt