Let {X(n),n Z} be a WSS discrete-time random process with X (n) = 1 and

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Let {X(n),n ∈ Z} be a WSS discrete-time random process with μX(n) = 1 and RX(m,n) = e−(m−n)2. Define the random process Z(n) asZ(n) = X(n) + X(n  1), for all n  Z.

a. Find the mean function of Z(n), μZ(n).

b. Find the autocorrelation function of Z(n), RZ(m,n).

c. Is Z(n) a WSS random process?

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