Properties of the Simpson discrete fourier transform

Abstract

The Simpson discrete Fourier transform (SDFT) and its inverse are transformations relating the time and frequency domains. In this paper we state and prove the important properties of shift, circular convolution, conjugation, time reversal and Plancherel's theorem. In addition, we provide an alternative representation of the duality property.

Quaestiones Mathematicae 37(2014), 279-290