# 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.