Question

What is the difference between convolution and multiplication?

(a) Convolution leads to addition and multiplication leads to the multiplication

(b) Convolution leads to a superposition of signals while multiplication does not consider all the signals

(c) Convolution is multiplication but of signals

(d) Convolution is a multiplication of added signals.

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

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

Answer 1

Right answer is (b) Convolution leads to a superposition of signals while multiplication does not consider all the signals

To explain I would say: Convolution is defined as weighted superposition of time shifted responses where the whole of the signals is taken into account. But multiplication leads to loss of those signals which are after the limits.