When the input to an LTI system is x[n] =(1/3) n u[n] + (2) n u[n

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When the input to an LTI system is

x[n] =(1/3)ⁿu[n] + (2)ⁿu[–n – 1],

the corresponding output is

y[n] = 5(1/3)ⁿu[n] – 5(2/3)ⁿu[n].

(a) Find the system function H(z) of the system. Plot the pole(s) and zero(s) 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] =(1/3) n u[n] + (2) n u[n

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Discrete Time Signal Processing

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