• DocumentCode
    1025593
  • Title

    Determination of the merit factor of Legendre sequences

  • Author

    Hoholdt, Tom ; Jensen, Helge E.

  • Author_Institution
    Math. Inst., Tech. Univ. of Denmark, Lyngby, Denmark
  • Volume
    34
  • Issue
    1
  • fYear
    1988
  • fDate
    1/1/1988 12:00:00 AM
  • Firstpage
    161
  • Lastpage
    164
  • Abstract
    M.J.E. Golay (ibid., vol.IT-23, no.1, p.43-51, 1977) has used the ergodicity postulate to calculate that the merit factor F of a Legendre sequence offset by a fraction f of its length has an asymptotic value given by 1/F=(2/3)-4|f|+8f 2, |f|⩽1/2, which gives F=6 for |f |=1/4. Here this is proved without using the ergodicity postulate
  • Keywords
    binary sequences; information theory; Legendre sequences; merit factor; Binary sequences; Extraterrestrial measurements; Fires; Integral equations; Magneto electrical resistivity imaging technique; Optimized production technology; Plasma measurements; Radio interferometry; Signal processing algorithms; Spectroscopy;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.2620
  • Filename
    2620
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1025593