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The unit step response of an L.T.I. system is the convolution of a step signal and it’s ________

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The unit step response of an L.T.I. system is the convolution of a step signal and it’s ________

(a) Impulse response

(b) Ramp response

(c) Parabolic response

(d) Time response

This question was addressed to me by my college director while I was bunking the class.

My enquiry is from Convolution topic in section Digital Signal Processing of MATLAB

1 Answer

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Correct answer is (a) Impulse response

Easy explanation: The response of an L.T.I. system is given by the convolution of an input and the impulse response of the system. Hence, for the unit step response of an L.T.I. system- the input is a unit step function while the convolution will be done with the impulse response. Hence, Impulse response is correct.

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