Consider the frequency demodulation scheme in Figure in which the incoming FM signal s (t) is passed

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Consider the frequency demodulation scheme in Figure in which the incoming FM signal s (t) is passed through a delay line that produces a phase-shift of ?/2 radians at the carrier frequency ?c. The delay-line output is subtracted from the incoming FM signal, and the resulting composite signal is then envelope-detected. This demodulator finds application in demodulating microwave FM signals. Assuming that s (t) = Ac cos (2??ct) + ? sin (2??mt) analyze the operation of this demodulator when the modulation index ? is less then unity and the delay T produced by the delay line is sufficiently small to justify making the approximations cos (2??mT) = 1 and sin (2??mt) = 2??mt

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