Consider a phase modulation (PM) system, with the modulated wave defined by s (t) = Ac cos
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Consider a phase modulation (PM) system, with the modulated wave defined by s (t) = Ac cos [2πƒct + k p m (t)], where k p is a constant and m (t) is the message signal. The additive noise n (t) at the phase detector input is n (t) = n1 (t) cos (2πƒct) – nQ (t) sin (2πƒct). Assuming that the carrier-to-noise at the detector input is high compared with unity, determine
(a) The output signal-to-noise ratio and
(b) The Figure of merit if the system. Compare your result with FM system for the case of sinusoidal modulation.
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