• DocumentCode
    1133589
  • Title

    Fast Fourier Transforms on Finite Non-Abelian Groups

  • Author

    Karpovsky, M.G.

  • Author_Institution
    Computer Science Division, Department of Mathematics, Tel-Aviv University
  • Issue
    10
  • fYear
    1977
  • Firstpage
    1028
  • Lastpage
    1030
  • Abstract
    Recent works [1]-[9] were devoted to the properties and application of Fourier transforms over finite Abelian groups and fast Fourier transforms for calculation of the corresponding spectra. In this correspondence we describe Fourier transforms on finite non-Abelian groups and appropriate algorithms of fast Fourier transforms.
  • Keywords
    Fast Fourier transforms and fast inverse Fourier transforms on finite non-Abelian groups, fast Hadamard-Walsh and fast Hadamard-Chrestenson transforms, Fourier transforms on finite non-Abelian groups, irreducible representations of groups.; Automata; Computer science; Fast Fourier transforms; Fourier transforms; Galois fields; Linear approximation; Mathematics; Network synthesis; Pattern recognition; Telephony; Fast Fourier transforms and fast inverse Fourier transforms on finite non-Abelian groups, fast Hadamard-Walsh and fast Hadamard-Chrestenson transforms, Fourier transforms on finite non-Abelian groups, irreducible representations of groups.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1977.1674739
  • Filename
    1674739