Multidimensional Fourier and Hartley transforms-are they same?

N. Sundararajan, S. Vijayachitra

Research output: Contribution to journalArticle

Abstract

Multidimensional Hartley transforms with two different kernels namely the multi kernel and single kernel versions and their relation with the multidimensional Fourier transform are investigated. The multi kernel multidimensional Hartley transform is mathematically correct and it is equally applicable to all fields. On the other hand the single kernel representation of the multidimensional Hartley transform is mathematically incorrect despite the fact that it is fully equivalent to the multidimensional Fourier transform. Therefore, mathematically incorrect version of the multidimensional Hartley transform with a single kernel representation and the corresponding Fourier transform are not the same.

Original languageEnglish
Pages (from-to)125-127
Number of pages3
JournalIETE Journal of Research
Volume46
Issue number3
Publication statusPublished - May 2000

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Fourier transforms
Mathematical transformations
Transform
kernel
Fourier transform

Keywords

  • Complex
  • Discrete transform
  • Fourier transforms
  • Hartley transforms
  • Kernel
  • Real

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications

Cite this

Multidimensional Fourier and Hartley transforms-are they same? / Sundararajan, N.; Vijayachitra, S.

In: IETE Journal of Research, Vol. 46, No. 3, 05.2000, p. 125-127.

Research output: Contribution to journalArticle

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