Problem 4: Let X(t) be a random process as: X(t) = cos(2лft+), where is a random variable distributed uniformly over (0, 2). This means that its PDF is 1 for Є[0,2] fo()=2π 0 otherwise (a) Determine the expectation of X(t), mx(t). (b) Determine the autocorrelation function of X(t), Rx(t,t+t). (c) Is X(t) a wide sense stationary (WSS) process? Explain why. (d) Determine the power spectral density (PSD) of X(t), Sx(f).
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