Problem

A causal LTI system has impulse response h[n], for which the z-transform is...

A causal LTI system has impulse response h[n], for which the z-transform is

(a) What is the ROC of H(z)?

(b) Is the system stable? Explain.

(c) Find the z-transform X(z) of an input x[n] that will produce the output

(d) Find the impulse response h[n] of the system.

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