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It does not matter which one we shift, the input signal or the unit impulse response of a system during linear convolution in an integral.

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in Signals and Systems by (1.2m points)
It does not matter which one we shift, the input signal or the unit impulse response of a system during linear convolution in an integral.

(a) True

(b) False

This question was posed to me in exam.

Enquiry is from Continuous Time Convolution topic in division Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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Correct answer is (a) True

The best explanation: It does not matter which one we shift input or output. We start at t at −∞ and slide it all the way to +∞. Wherever the two functions intersect, we find the integral of their product.

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