Consider a discrete-time LTI system with a real-valued impulse response h[n]. We want to find h [n], or equivalently, the system function H(z) from the autocorrelation c_hh[?] of the impulse response. The definition of the autocorrelation is?

(a) If the system h[n] is causal and stable, can you uniquely recover h[n] from c_hh[?]? Justify your answer.

(b) Assume that h[n] is causal and stable and that, in addition, you know that the system function has the form, for some finite ?_k. Can you uniquely recover h[n] from c_hh[?]? Clearly justify your answer._?

Chnle] = h[k]h[k + e]. k=-D0 Part B H(z) = - -k k=1