A binary FSK signal with discontinuous phase is defined by where Eb is the signal energy per bit, Tb is the bit duration, and ?1 and ?2 are sample values of uniformly distributed random variables over the interval 0 to 2?. In effect, the two oscillators supplying the transmitted frequencies fc + ?f/2 operate independently of each other. Assume that fc >> ?f.

(a) Evaluate the power spectral density of the FSK signal.

(b) Show that for frequencies far removed from the carrier frequency fc, the power spectral density falls off as the inverse square of frequency.

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(+)+«] 2E, for symbol 1 + 8, cos Ть s{t) %3D 2E, Ть for symbol 0 Cos + 82