Consider an LTI system with system function:
(a) Is H(z) an all-pass system? Explain.
(b) The system is to be implemented as the cascade of three systems Hmin(z), Hmax(z), and Hd (z), denoting minimum-phase, maximum-phase, and integer time shift, respectively. Determine the impulse responses hmin[n], hmax[n], and hd [n], corresponding to each of the three systems.
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