banangvo banangvo

03-06-2023
Mathematics

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(15 marks) Let X(t) and Y (t), for t ∈ [0,∞), be two jointly WSS random processes.
Consider the random process Z(t)defined as
Z(t) = X(t) + Y (t)
(a) Find the mean function of Z(t), µZ(t). [5 marks]
(b) Find the autocorrelation function of Z(t), RZ(t1, t2). [5 marks]
(c) Is Z(t) a wide sense stationary random process?

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