Question: help me plz 9.14 A complex continuous random process is defined by X(t) = Ae][wot+) +W(t) where A and Q are real parameters, wo is

 help me plz 9.14 A complex continuous random process is defined

help me plz

9.14 A complex continuous random process is defined by X(t) = Ae][wot+) +W(t) where A and Q are real parameters, wo is a known radian frequency, and W(t) is a stationary zero-mean white noise process with autocorrelation function Rw(T) = {8(T). Assume that W(t) is independent of the parameters A and 0. Find the autocorrelation function for X(t) under the following conditions: (a) 0 = 0 and A is a Rayleigh random variable with parameter a = (b) Q is uniformly distributed between 7 and and A = 1/72. (c) 0 is uniformly distributed between 1 and 1 and A is a Rayleigh random variable with a = 1. A and Q are independent. (d) Same conditions as Part (b) but W(t) has a autocorrelation function Rw(T) = {e-Il. 9.14 A complex continuous random process is defined by X(t) = Ae][wot+) +W(t) where A and Q are real parameters, wo is a known radian frequency, and W(t) is a stationary zero-mean white noise process with autocorrelation function Rw(T) = {8(T). Assume that W(t) is independent of the parameters A and 0. Find the autocorrelation function for X(t) under the following conditions: (a) 0 = 0 and A is a Rayleigh random variable with parameter a = (b) Q is uniformly distributed between 7 and and A = 1/72. (c) 0 is uniformly distributed between 1 and 1 and A is a Rayleigh random variable with a = 1. A and Q are independent. (d) Same conditions as Part (b) but W(t) has a autocorrelation function Rw(T) = {e-Il

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