Question

Find the value of [d(t-3) – d(t-1)] * x[t+3].

(a) x(t+3) – x(t+2)

(b) x(t) – x(t+1)

(c) x(t) – x(t+2)

(d) x(t-1) – x(t+2)

The question was posed to me in final exam.

I would like to ask this question from Continuous Time Convolution topic in section Time-Domain Analysis of CT Systems of Signals and Systems

Answer 1

The correct choice is (c) x(t) – x(t+2)

Easy explanation: The delta function convolved with another function results in the shifted function.