Consider the difference equation representing a causal LTI system y[n] + (1/) y[n 1] = x[n

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Consider the difference equation representing a causal LTI system

y[n] + (1/α) y[n – 1] = x[n – 1].

(a) Find the impulse response of the system, h[n], as a function of the constant a.

(b) For what range of values of a will the system be stable?

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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