A band-limited signal x(t) is to be transmitted using narrowband FM techniques. That is
Chapter 8, Problem 8.45(choose chapter or problem)
A band-limited signal x(t) is to be transmitted using narrowband FM techniques. That is, the modulation index m, as defined in Section 8.7, is much less than Tr/2. Before x(t) is transmitted to the modulator, it is processed so that X(jw )iw =O = 0 and lx(t)l < 1. This normalized x(t) is now used to angle-modulate a carrier to form the FM signal (a) Determine the instantaneous frequency w;. (b) Using eqs. (8.44) and (8.45), the narrowband assumption (m << Tr/2), and the preceding normalization conditions, show that (c) What is the relationship among the bandwidth of y(t), the bandwidth of x(t), and the carrier frequency We?
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