Question

How do you define convolution?

(a) Weighted superposition of time shifted responses

(b) Addition of responses of an input signal

(c) Multiplication or various shifted responses of a stable system

(d) Superposition of various outputs

The question was asked in unit test.

My question is taken from Continuous Time Convolution topic in portion Time-Domain Analysis of CT Systems of Signals and Systems

Answer 1

Correct choice is (a) Weighted superposition of time shifted responses

Easy explanation: This is defined as-

y(t)= ∫x(α)h(t-α)dα=x(t)*h(t), output y(t) to an arbitrary input x(t) in terms of the input response h(t).

This is defined as a weighted superposition of time shifted responses where the whole of the signals is taken into account i.e its full limits.