• DocumentCode
    1089635
  • Title

    Fast algorithms for complex integer transforms

  • Author

    Liu, K.Y. ; Reed, I.S. ; Truong, T.K.

  • Author_Institution
    University of Southern California, Los Angeles, CA
  • Volume
    25
  • Issue
    5
  • fYear
    1977
  • fDate
    10/1/1977 12:00:00 AM
  • Firstpage
    450
  • Lastpage
    452
  • Abstract
    In this correspondence both high-radix and real-valued input FFT algorithms are applied to transforms over the finite field GF(q2), where q is a Mersenne prime. Such transforms can be used to implement fast circular convolutions without roundoff error. Of particular interest is a new radix 8 FFT algorithm, which requires fewer multiplications than the conventional radix 8 FFT algorithm.
  • Keywords
    Arithmetic; Equations; Fast Fourier transforms; Galois fields; Laboratories; NASA; Propulsion; Roundoff errors;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1977.1162978
  • Filename
    1162978