In this tutorial, we will show that by writing the Fourier series expansion of a periodic signal in an intuitively obvious form, it is possible to interpret Parseval’s equality energetically. In this ...

Abstract: In this paper the Parseval theorem for Laplace and Stieltjes transforms which was proved by Yurekli (1989, IMA J. Appl. Math., 42, 241–249) for conventional functions is proved for ...

This paper investigates the generalized Parseval’s theorem of fractional Fourier transform (FRFT) for concentrated data. Also, in the framework of multiple FRFT domains, Parseval’s theorem reduces to ...

Abstract: Parseval’s theorem states that the energy of a signal is preserved by the discrete Fourier transform (DFT). Parseval’s formula shows that there is a nonlinear invariant function for the DFT, ...

ABSTRACT: This paper investigates the generalized Parseval’s theorem of fractional Fourier transform (FRFT) for concentrated data. Also, in the framework of multiple FRFT domains, Parseval’s theorem ...