Consider an LTI system with impulse response h[n] = anu[n] with |a| < 1. (a) Com...

Consider an LTI system with impulse response h[n] = aⁿu[n] with |a| < 1.

(a) Compute the deterministic autocorrelation function Φ_hh [m] for this impulse response.

(b) Determine the magnitude-squared function |H(e^jω)|² for the system.

(c) Use Parseval’s theorem to evaluate the integral

for the system.