Question

The convolution of a discrete signal with itself is _________

(a) Squaring the signal

(b) Doubling the signal

(c) Adding two signals

(d) is not possible

I have been asked this question by my school teacher while I was bunking the class.

Query is from Convolution in section Digital Signal Processing of MATLAB

Answer 1

Correct option is (a) Squaring the signal

Easiest explanation: This is proved by the fact that since discrete signals can be thought of as a one variable polynomial with the coefficients, along with the order, representing the amplitude, at an instant equal to the order of the variable, of the signal- they are simply multiplied during convolution.