Let {X(n),n Z} be a WSS discrete-time random process with X (n) = 1 and RX(m,n) = e (mn)2 . Define the random

Let {X(n),n ∈ Z} be a WSS discrete-time random process with μ_X(n) = 1 and RX(m,n) = e^−(m−n)2. Define the random process Z(n) as

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?

Z(n) = X(n) + X(n 1), for all n Z.