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Consider the frequency demodulation scheme in Figure in which

Consider the frequency demodulation scheme in Figure in which

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 p/2 radians at the carrier frequency A?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 (2pA?ct) + ß sin (2pA?mt) analyze the operation of this demodulator when the modulation index ß is less then unity and the delay T produced by the delay line is sufficiently small to justify making the approximations cos (2pA?mT) = 1 and sin (2pA?mt) = 2pA?mt

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