Generate 100 samples of a zero-mean white noise sequence w (n) with variance 1/12by usin...

Generate 100 samples of a zero-mean white noise sequence w (n) with variance 1/12by using a uniform random number generator.

(a) Compute the autocorrelation of

(b) Compute the periodogram estimate P_xx(f) and plot it.

(c) Generate 10 different realizations of w(n) and compute the corresponding sam-ple autocorrelation sequences

(d) Compute and plot the average autocorrelation sequence for part (c):

and the periodogram corresponding to

(e) Comment on the results in parts (a) through (d).