Question

What is the definition of the delta function in time space intuitively?

(a) Defines that there is a point 1 at t=0, and zero everywhere else

(b) Defines that there is a point 0 at t=0, and 1 everywhere else

(c) Defines 1 for all t > 0, and 0 else

(d) Defines an impulse of area 1 at t=0, zero everywhere else

I have been asked this question in a job interview.

This intriguing question originated from The Impulse Function in chapter Signals and Systems Basics of Signals and Systems

Answer 1

Right option is (d) Defines an impulse of area 1 at t=0, zero everywhere else

To explain I would say: Arises from the definition of the delta function. There is a clear difference between just the functional value and the impulse area of the delta function.