A causal linear time-invariant system is described by the difference equation y[n] 5y[n 1] +

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A causal linear time-invariant system is described by the difference equation

y[n] – 5y[n – 1] + 6y[n – 2] = 2x[n – 1].

(a) Determine the homogeneous response of the system, i.e., the possible outputs if x[n] = 0 for all n.

(b) Determine the impulse response of the system.

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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 02:55 AM

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A causal linear time-invariant system is described by the difference equation y[n] 5y[n 1] +

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a The homogeneous difference equation Taking the Ztransform The homogeneous solution is of the ...View the full answer

Discrete Time Signal Processing

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