Fourier and Hartley transforms - A mathematical twin

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The Hartley transform, using yet another set of orthogonal functions, is purely real and fully equivalent to the well-known Fourier transform. It is an offshoot of the Fourier transform with the same physical significance as that of its progenitor. The fact that the Fourier and Hartley transforms contain the same information at each frequency combined with that these two transforms yield identical amplitude and phase paves the way for phrasing them to be a mathematical twin. The Hartley transform has some computational advantages over the Fourier transform and therefore can be an ideal alternative to the Fourier transform for all its applications. Some salient features of this transform which is emerging as an important tool in the field of digital signal processing are incorporated herein.

Original languageEnglish
Pages (from-to)1361-1365
Number of pages5
JournalIndian Journal of Pure and Applied Mathematics
Volume28
Issue number10
Publication statusPublished - Oct 1997

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Fourier transforms
Transform
Fourier transform
Orthogonal functions
Digital signal processing
Orthogonal Functions
Signal Processing
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Keywords

  • Fourier transforms
  • Hartley transforms
  • Orthogonal functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Fourier and Hartley transforms - A mathematical twin. / Sundararajan, N.

In: Indian Journal of Pure and Applied Mathematics, Vol. 28, No. 10, 10.1997, p. 1361-1365.

Research output: Contribution to journalArticle

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