i need help in this

Q. 1 Answer in short: [10] a. Verify whether the given sequence x(n) is a valid autocorrelation sequences of a WSS random process or not: x(n) = {2, 5, 4, 5, 2 }. b. Verify whether the following matrix A is a valid autocorrelation matrices of a WSS random process or not: A = [5 -2+j j; -2-j 7 -2j; -j 2+j 4] c. Find the autocovariance sequence of a random process with power spectrum defined as: Px (eiw) = 5. d. Find the power spectrum of a random process with power spectrum defined as: I x (k) = 3(=)/kl. e. Discuss how to generate a WSS random process. Q. 2 [10] a. Find the autocorrelation sequence of an output available by filtering unit variance white noise w(n) through a system described by H(z) = 1/(1 -0.75 z-1). [5] b. Design H(z) that generates a random process having power spectrum of the form as Px(eiw) = 10 + 6 cos 2w 17 + 8 cos w by filtering unit variance white noise. [5]