• DocumentCode
    302874
  • Title

    Fast algorithms for computing one and two dimensional convolution in integer polynomial rings

  • Author

    Garg, Hari Krishna

  • Author_Institution
    Dept. of Electr. Eng., Nat. Univ. of Singapore
  • Volume
    4
  • fYear
    1996
  • fDate
    7-10 May 1996
  • Firstpage
    2180
  • Abstract
    The factorization properties of polynomials defined over finite integer rings and the associated direct sums are analyzed. The objective is to describe new computationally efficient algorithms for computing one and two dimensional convolution of data sequences defined over finite integer rings. The number theoretic transforms (NTTs) are a special case of the general theory presented
  • Keywords
    convolution; number theory; polynomials; sequences; acyclic convolution; computationally efficient algorithms; cyclic convolution; data sequences; direct sums; fast algorithms; finite integer rings; integer polynomial rings; number theoretic transforms; one dimensional convolution; two dimensional convolution; Cathode ray tubes; Concurrent computing; Convolution; Digital signal processing; Polynomials; Signal design; Signal processing algorithms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on
  • Conference_Location
    Atlanta, GA
  • ISSN
    1520-6149
  • Print_ISBN
    0-7803-3192-3
  • Type

    conf

  • DOI
    10.1109/ICASSP.1996.545852
  • Filename
    545852