Consider an LTI discrete-time system whose pole—zero pattern is shown in Fig. P3.51.
(a) Determine the ROC of the system function H(z) if the system is known to he stable.
(b) It is possible for the given pole—zero plot to correspond to a causal and stable system? If so, what is the appropriate ROC?
(c) How many possible systems can be associated with this pole—zero pattern.?
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