Question: Each of the pole-zero plots in Figure, together with the specification of the region of convergence, describes a linear time-invariant system with system function H(z).

Each of the pole-zero plots in Figure, together with the specification of the region of convergence, describes a linear time-invariant 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).

Im Im Unit Unit z-plane z-plane circle, circle Re Re ROC: Izl

Im Im Unit Unit z-plane z-plane circle, circle Re Re ROC: Izl < ROC: izl > (b) (a) 2 Unit Unit circle z-plane z-plane circle 4 F81 Re Re 2 (d) (c)

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