A discrete-time causal LTI system has the system function H(2) Answer the following related questions. (1+0.36z-2)(1-4z-1) (1-0.64z-2) a) Plot the pole-zero diagram of H(z). Indicate the ROC. b) Find the inverse system functiona Hi(2), which is known to be stable. Indicate the ROC. c) Express H(z) as H(z)=Hmp(z)Hap(2), where Hmp(z) is a minimum-phase system and Hap(z) is an all-pass system. (Hint: All the poles and zeros lie in the unit circle in a minimum-phase system. d) Sketch the magnitude-spectrum of the minimum-phase system, |Hmpleim) | |