Question

How are the convolution integral of signals represented?

(a) x(t)+h(t)

(b) x(t)-h(t)

(c) x(t)*h(t)

(d) x(t)**h(t)

I had been asked this question in my homework.

The query is from Continuous Time Convolution topic in section Time-Domain Analysis of CT Systems of Signals and Systems

Answer 1

The correct option is (c) x(t)*h(t)

The best explanation: We obtain the system output y(t) to an arbitrary input x(t) in terms of the input response h(t).

y(t)= ∫x(α)h(t-α)dα=x(t)*h(t).