Generate 100 samples of a zero-mean white noise sequence with variance , by using a uniform random number generator.

a 　　Compute the autocorrelation of for .

b Compute the periodogram estimate and plot it.

c 　　Generate 10 different realizations of , and compute the corresponding sample autocorrelation sequences , and . Compute the average autocorrelation sequence as and the corresponding periodogram for .

d Compute and plot the average periodogram using the Bartlett method.

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