Question

Find the convolution of x(t) = exp(2t)u(-t), and h(t) = u(t-3)

(a) 0.5exp(2t-6) u(-t+3) + 0.5u(t-3)

(b) 0.5exp(2t-3) u(-t+3) + 0.8u(t-3)

(c) 0.5exp(2t-6) u(-t+3) + 0.5u(t-6)

(d) 0.5exp(2t-6) u(-t+3) + 0.8u(t-3)

This question was posed to me in quiz.

My enquiry is from Continuous Time Convolution topic in chapter Time-Domain Analysis of CT Systems of Signals and Systems

Answer 1

The correct answer is (a) 0.5exp(2t-6) u(-t+3) + 0.5u(t-3)

To elaborate: Divide it into 2 sectors and apply the convolution formula.