Question

In which of the following useful signals, is the bilateral Laplace Transform different from the unilateral Laplace Transform?

(a) d(t)

(b) s(t)

(c) u(t)

(d) all of the mentioned

I had been asked this question by my college director while I was bunking the class.

I need to ask this question from The Impulse Function topic in division Signals and Systems Basics of Signals and Systems

Answer 1

Correct choice is (c) u(t)

The explanation is: The bilateral LT is different from the aspect that the integral is applied for the entire time axis, but the unilateral LT is applied only for the positive time axis. Hence, the u(t) [unit step function] differs in that aspect and hence can be used to differentiate the same.