Question

What is a unit impulse response?

(a) The output of a linear system

(b) The response of an invariant system

(c) The output of an LTI system due to unit Impulse signal

(d) The output of an input response signal

This question was posed to me in final exam.

This interesting question is from Continuous Time Convolution in portion Time-Domain Analysis of CT Systems of Signals and Systems

Answer 1

The correct choice is (c) The output of an LTI system due to unit Impulse signal

Easy explanation: The impulse response is defined as the output of an LTI System due to a unit impulse signal input applied at time t=0 or n=0.

x(t)–>y(t)

∂(t)–>h(t)

Where ∂(t) is the unit impulse function and h(t) is the unit impulse response of a continuous time LTI system.