Question: Consider an LTI discrete-time system whose pole-zero patterns is shown in figure (a) Determine the ROC of the system function H(z) if the system is

Consider an LTI discrete-time system whose pole-zero patterns is shown in figure

Im:) Re(2) -0.5

(a) Determine the ROC of the system function H(z) if the system is known to be stable.

(b) it is possible for 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-zeropatterns?

Im:) Re(2) -0.5

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