Properties of the Simpson discrete fourier transform

  • P Singh
  • V Singh

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

Author Biographies

P Singh
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa
V Singh
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa
Published
2014-06-30
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606