Question: Consider an LTI system that is stable and for which H(z), the z-transform of the impulse response, is given by Suppose x[n], the input to

Consider an LTI system that is stable and for which H(z), the z-transform of the impulse response, is given by

3 - 72- + 5z2 H(2) = 1-- +22

Suppose x[n], the input to the system, is a unit step sequence.

(a) Find the output y[n] by evaluating the discrete convolution of x[n] and h[n].

(b) Find the output y[n] by computing the inverse z-transform of y(z).

3 - 72- + 5z2 H(2) = 1-- +22

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