Question

The energy in the time-domain representation of a signal is the same as in the frequency domain representation normalized by ___________

(a) 2π

(b) π

(c) \(\frac{π}{2}\)

(d) \(\frac{π}{4}\)

This question was posed to me during an interview.

The origin of the question is Average Power and Energy of a Signal in portion Fourier Series of Signals and Systems

Answer 1

The correct choice is (a) 2π

The explanation: The solution lies in the basic definition of Parseval’s theorem.

We know that Parseval’s energy and power theorem states that, the energy in the time-domain representation of a signal is equal to the energy in the frequency domain representation normalized by 2π.