A random process x(n) is characterized by the power density spectrum where is...

A random process x(n) is characterized by the power density spectrum

where is a constant (scale factor).

(a) If we view as the power spectrum at the output of a linear pole-zero system H (z) driven by white noise, determine H (z).

(b) Determine the system function of a stable system (noise-whitening filter) that produces a white noise output when excited by x (n) .