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

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

image

(a) What is the region of convergence 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,

y[n] = ? 1/3(?1/4)nu[n] ? 4/3(2)nu[?n ? 1].

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

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Related Book For  book-img-for-question

Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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