(Solution) - Consider an LTI system that is stable and for which H z -(2025 Original AI-Free Solution)

Paper Details

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)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 ofY(z).