In mathematics, Parseval's theorem usually refers to the result that the Fourier transform is unitary; loosely, that the sum of the square of a function is equal to the sum of the square of its transform.

What is parseval's energy theorem?

Parseval's theorem refers to that information is not lost in Fourier transform. In this example, we verify energy conservation between time and frequency domain results from an FDTD simulation using Parseval's theorem. This is done by evaluating the energy carried by a short pulse both in the time and frequency domain.

What does parseval's theorem state?

Parseval's theorem states that the energy of a signal in the time domain equals the energy of the transformed signal in the frequency domain.