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Invertibility is only followed by continuous time LTI systems.

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in Signals and Systems by (1.2m points)
Invertibility is only followed by continuous time LTI systems.

(a) True

(b) False

I have been asked this question in an international level competition.

This intriguing question comes from Properties of LTI Systems in section Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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The correct answer is (b) False

Easy explanation: False, discrete time LTI System also follows invertibility properties. It can be shown by Impulse response h1[n] of the inverse system for an LTI system for an impulse response h[n] must satisfy

h[n]*h1[n]=∂[n].

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