Question

Convolution is used to find ____________

(a) Impulse of an LTI system

(b) Frequency response of an LTI system

(c) Time response of an LTI system

(d) Phase response of an LTI system

This question was posed to me in an online interview.

This key question is from Fourier Series Analysis using Circuits in chapter Fourier Analysis on Complex Spaces of Signals and Systems

Answer 1

Correct answer is (c) Time response of an LTI system

To explain I would say: We know that, the time response of an LTI system is given by

 Y (n) = \(∑_{k=-∞}^∞ x(k)h(n-k)\)

This can also be written as y (n) = x (n) * h (n), which is the convolution of two systems. Therefore convolution is used to find the time response of an LTI system.