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If pk, k=1,2,…N are the poles of the system and |pk| < 1 for all k, then the natural response of such a system is called as Transient response.

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If pk, k=1,2,…N are the poles of the system and |pk| < 1 for all k, then the natural response of such a system is called as Transient response.

(a) True

(b) False

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I want to ask this question from Analysis of LTI System in Z Domain topic in division Z Transform and its Application – Analysis of the LTI Systems of Digital Signal Processing

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Right answer is (a) True

Best explanation: If |pk| < 1 for all k, then ynr(n) decays to 0 as n approaches infinity. In such a case we refer to the natural response of the system as the transient response.

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