Original Articles

Properties of the Simpson discrete Fourier transform

Published in: Quaestiones Mathematicae
Volume 37 , issue 2 , 2014 , pages: 279–290

DOI: 10.2989/16073606.2013.779608

Author(s): P. Singh School of Mathematics, Statistics and Computer Science, South Africa , V. Singh School of Mathematics, Statistics and Computer Science, South Africa

Keywords: Simpson discrete Fourier transform , properties , Simpson discrete Fourier transform , properties

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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.

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