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

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

image

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).

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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