A certain random process is created as a sum of a large number, , of sinusoids with random frequencies and random phases,
where the random phases θK are IID and uniformly distributed over 
and the random frequencies are given by 
are IID and uniformly distributed over 
while we will let the number of terms in the sum be .
(a) Write a MATLAB program to generate realizations of this random process.
(b) Assuming the process is stationary and ergodic, use a single realization to estimate the first-order PDF of the process fX(x).
(c) Assuming the process is stationary and ergodic, use a single realization to estimate the mean of the process µX
(d) Assuming the process is stationary and ergodic, use a single realization to estimate the autocorrelation function of the process 