• DocumentCode
    1104136
  • Title

    Two-dimensional convolutions by means of number theoretic transforms over residue class polynomial rings

  • Author

    Martens, Jean-Bernard

  • Author_Institution
    State University of Ghent, Ghent, Belgium
  • Volume
    32
  • Issue
    4
  • fYear
    1984
  • fDate
    8/1/1984 12:00:00 AM
  • Firstpage
    862
  • Lastpage
    871
  • Abstract
    In this paper, a general framework is developed in which many of the currently used convolution methods, including polynomial transforms and number theoretic transforms, can be discussed. A number of new algorithms for two-dimensional convolution are also derived from the general theory.
  • Keywords
    Arithmetic; Convolution; Digital filters; Discrete Fourier transforms; Discrete transforms; Information filtering; Information filters; Multidimensional systems; Polynomials; Two dimensional displays;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1984.1164411
  • Filename
    1164411
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1104136