Problem

A causal LTI system excited by the input produces an output y(n) with z-transf...

A causal LTI system excited by the input

produces an output y(n) with z-transform

(a) Determine the system function H(z) and its ROC.

(b) Determine the output y(n) of the system.

(Hint: Pole cancellation increases the original ROC.)

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