When the input to an LTI system is x[n] = (1/2) n u[n] + 2 n u[

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When the input to an LTI system is

x[n] = (1/2)ⁿu[n] + 2ⁿ u[– n – 1],

the output is

y[n] = 6 (1/2)ⁿu[n] – 6 (3/4)ⁿu[n].

(a) Find the system function H(z) of the system. Plot the poles and zeros of H(z), and indicate the region of convergence.

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

(d) Is the system stable? Is it causal?

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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Question Posted: May 26, 2011 02:56 AM

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When the input to an LTI system is x[n] = (1/2) n u[n] + 2 n u[

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Discrete Time Signal Processing

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