Can someone please help me with this.
I don't know how to do this problem.
I really need help because I think this problem will be on my midterms coming up as my professor mentioned to study for it.
(a) $\displaystyle E[X(k,\theta)] = \int_0^{\pi} A\cos(\omega k + \theta)\frac{1}{\pi} d\theta = 0 $
Similarly with the autocorrelation, first apply the trig identity for product of cosines, then evaluate the integral. You'll get a function of (m-k).
Plug in k=m into the autocorrelation to get the third expectation.
(b) Both mean and autocorrelation only depend on m-k, and so X is a WSS process.