• DocumentCode
    2884802
  • Title

    The Hartley transform in a finite field

  • Author

    De Souza, R. M Campello ; de Oliveira, H.M. ; Kauffman, A.N.

  • Author_Institution
    Dept. de Electron. e Sistemas, Univ. Fed. de Pernambuco, Recife, Brazil
  • fYear
    1998
  • fDate
    9-13 Aug 1998
  • Firstpage
    245
  • Abstract
    In this paper the k-trigonometric functions over the Galois field GF(q) are introduced and their main properties derived. This leads to the definition of the cask(.) function over GF(q), which in turn leads to a finite field Hartley transform. The main properties of this new discrete transform are presented and areas for possible applications are mentioned, including digital signal processing and digital multiplexing
  • Keywords
    Galois fields; discrete Hartley transforms; multiplexing; signal processing; Galois field; Hartley transform; digital multiplexing; digital signal processing; discrete transform; finite field; finite field Hartley transform; k-trigonometric functions; Arithmetic; Codecs; Convolution; Convolutional codes; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Galois fields; Image processing; Signal processing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Telecommunications Symposium, 1998. ITS '98 Proceedings. SBT/IEEE International
  • Conference_Location
    Sao Paulo
  • Print_ISBN
    0-7803-5030-8
  • Type

    conf

  • DOI
    10.1109/ITS.1998.713126
  • Filename
    713126