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If all the poles have small magnitudes, then the rate of decay of signal is __________

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If all the poles have small magnitudes, then the rate of decay of signal is __________

(a) Slow

(b) Constant

(c) Rapid

(d) None of the mentioned

This question was addressed to me in an online quiz.

I would like to ask this question from Analysis of LTI System in Z Domain in portion Z Transform and its Application – Analysis of the LTI Systems of Digital Signal Processing

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The correct option is (c) Rapid

For explanation I would say: If the magnitudes of the poles of the response of any system is very small i.e., almost equal to zero, then the system decays very rapidly.

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