Question

What are the singularity functions?

(a) Derivatives and integrals of unit impulse functions

(b) Derivatives of a unit impulse function

(c) Integrals of an impulse function

(d) Sum of successive impulse function

This question was posed to me in an international level competition.

The doubt is from The Impulse Function topic in portion Signals and Systems Basics of Signals and Systems

Answer 1

The correct option is (a) Derivatives and integrals of unit impulse functions

Easiest explanation: All the function derived from an impulse function(successive derivatives and integrals) are called singularity functions. Here, impulse function is taken as a generalized function than an ordinary function.