• DocumentCode
    1306194
  • Title

    Fourier transforms and the 2-adic span of periodic binary sequences

  • Author

    Goresky, Mark ; Klapper, Andrew M. ; Washington, Lawrence

  • Author_Institution
    Inst. for Adv. Study, Princeton Univ., NJ, USA
  • Volume
    46
  • Issue
    2
  • fYear
    2000
  • fDate
    3/1/2000 12:00:00 AM
  • Firstpage
    687
  • Lastpage
    691
  • Abstract
    An arithmetic or with-carry analog of Blahut´s (1979) theorem is presented. This relates the length of the smallest feedback with-carry shift register to the number of nonzero classical Fourier coefficients of a periodic binary sequence
  • Keywords
    Fourier transforms; binary sequences; 2-adic span; Blahut´s theorem; Fourier transforms; arithmetic analog; feedback with-carry shift register length; nonzero classical Fourier coefficients; periodic binary sequences; with-carry analog; Autocorrelation; Binary sequences; Communication system control; Conferences; Decoding; Fourier transforms; Gold; Information theory; Mobile communication; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.825843
  • Filename
    825843