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Consider the output of an envelope detector defined by Equation

Consider the output of an envelope detector defined by Equation

Consider the output of an envelope detector defined by Equation (2.92), which is reproduced here for convenience y (t) = {[Ac + Ac ka m (t) + n l (t)] 2 + n2Q (t)} 1/2
(a) Assume that the probability of the event | nQ (t) | > e Ac | 1 + ka m (t) | is equal to or less than d1, where e < 1.=”” what=”” is=”” the=”” probability=”” that=”” the=”” effect=”” of=”” the=”” quadrature=”” component=”” nq=”” (t)=”” is=””>
(b) Suppose that ka is adjusted relative to the message signal m (t) such that the probability of the event Ac [1 + ka m (t)] + n1 (t) < 0=”” is=”” equal=”” to=”” d.=”” what=”” is=”” the=”” probability=”” that=”” the=”” approximation=”” y=”” (t)=”Ac” [1=”” +=”” ka=”” m=”” (t)]=”n1″ (t)=”” is=””>
(c) Comment on the significance of the result ion part (b) for the case when d1 and d2 are both small compared with unity.

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