Consider a phase modulation (PM) system, with the modulated wave defined by s (t) = Ac cos [2 c t + k p m (t)],

Consider a phase modulation (PM) system, with the modulated wave defined by s (t) = Ac cos [2πƒ_ct + 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 (2πƒ_ct) – n_Q (t) sin (2πƒ_ct). 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.