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

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 the system, is a unit step sequence.

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

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