Each of the pole–zero plots in Figure P5.55, together with the specification of the ROC,...

Each of the pole–zero plots in Figure P5.55, together with the specification of the ROC, describes an LTI system with system function H(z). In each case, determine whether any of the following statements are true. Justify your answer with a brief statement or a counterexample.

(a) The system is a zero-phase or a generalized linear-phase system.

(b) The system has a stable inverse H_i(z).