Question: Problem # 2.0 X (t) is a continuous-time, complex-valued process defined via: X(t) = Aexp (j2n Ft + je) , where the random variables A,


Problem # 2.0 X (t) is a continuous-time, complex-valued process defined via: X(t) = Aexp (j2n Ft + je) , where the random variables A, F. 9 are statistically independent of each other and have the following statistics: fA(a) = 420 0 otherwise, F is uniformly distributed in the interval [10, 11] kHz and 0 ~ U([-x, x]). For this process: 1. compute the mean ,(t) and the variance o? (t). Is this process first-order stationary ? Justify your answer properly. 2. compute the ensemble autocorrelation function Rex(t1, t2). Is the process WSS? Justify your answer properly. 3. Is this process ergodic in the mean? Justify your answer properly. 4. Compute the PSD Per(j?) of this process
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