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If one or more poles are located near the unit circle, then the rate of decay of signal is _________

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If one or more poles are located near the unit circle, then the rate of decay of signal is _________

(a) Slow

(b) Constant

(c) Rapid

(d) None of the mentioned

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This interesting question is from Analysis of LTI System in Z Domain topic in chapter Z Transform and its Application – Analysis of the LTI Systems of Digital Signal Processing

1 Answer

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Correct choice is (a) Slow

For explanation: If the magnitudes of the poles of the response of any system is almost equal to one, then the system decays very slowly or the transient will persist for a relatively long time.

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