6.23 A binary FSK signal with discontinuous phase is defined by 2E, cos 27 f. + T Af + e, for symbol 1 2 s(t) 2E, cos 27| f. Af for symbol 0 t + 02 HAPTER 6 S PASSBAND DATA TRANSMISSION where E, is the signal energy per bit, T, is the bit duration, and 0, and 62 are samala values of uniformly distributed random variables over the interval 0 to 27. In effect, the two oscillators supplying the transmitted frequencies f. + Af/2 operate independently of each other. Assume that f. > Af. (a) Evaluate the power spectral density of the FSK signal. (b) Show that for frequencies far removed from the carrier frequency fe, the power spec. tral density falls off as the inverse square of frequency.

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6.23 A binary FSK signal with discontinuous phase is defined by
2E,
cos 27 f. +
Af
for symbol 1
+ e,
2
s(t)
2E,
cos 27| f.
Af
for symbol 0
t + 02
HAPTER 6 PASSBAND DATA TRANSMISSION
where E, is the signal energy per bit, T, is the bit duration, and 0, and 62 are samala
values of uniformly distributed random variables over the interval 0 to 27. In effect, the
two oscillators supplying the transmitted frequencies f. + Af/2 operate independently of
each other. Assume that f. > Af.
(a) Evaluate the power spectral density of the FSK signal.
(b) Show that for frequencies far removed from the carrier frequency fer the power spec-
tral density falls off as the inverse square of frequency.
Transcribed Image Text:6.23 A binary FSK signal with discontinuous phase is defined by 2E, cos 27 f. + Af for symbol 1 + e, 2 s(t) 2E, cos 27| f. Af for symbol 0 t + 02 HAPTER 6 PASSBAND DATA TRANSMISSION where E, is the signal energy per bit, T, is the bit duration, and 0, and 62 are samala values of uniformly distributed random variables over the interval 0 to 27. In effect, the two oscillators supplying the transmitted frequencies f. + Af/2 operate independently of each other. Assume that f. > Af. (a) Evaluate the power spectral density of the FSK signal. (b) Show that for frequencies far removed from the carrier frequency fer the power spec- tral density falls off as the inverse square of frequency.
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