Question

Find the value of [u(t) – u(t+1)] * x[t+1].

(a) (dollarSign)x(t+1) – (dollarSign)x(t+3)

(b) (dollarSign)x(t) – (dollarSign)x(t+2)

(c) (dollarSign)x(t) – (dollarSign)x(t-1)

(d) (dollarSign)x(t+1) – (dollarSign)x(t+2)

I had been asked this question at a job interview.

Enquiry is from Continuous Time Convolution in section Time-Domain Analysis of CT Systems of Signals and Systems

Answer 1

The correct answer is (d) $x(t+1) – $x(t+2)

To elaborate: The delta function convolved with another function results in the shifted function.