Question

Random Processes Given the following random process X(t) = A cos(2? f_c t + ?) where ? is uniformly distributed on [0, 2?] and A is a Gaussian random variable with zero mean and unit variance and is independent of ?. Answer the following questions: a) Compute the mean, autocorrelation, and autocovariance of X(t). b) What type of random process X(t) is (stationary, WSS, ergodic, etc.)?

          Random Processes

Given the following random process

X(t) = A cos(2? f_c t + ?)

where ? is uniformly distributed on [0, 2?] and A is a Gaussian random variable with zero mean and unit variance and is independent of ?. Answer the following questions:

a) Compute the mean, autocorrelation, and autocovariance of X(t).

b) What type of random process X(t) is (stationary, WSS, ergodic, etc.)?