• DocumentCode
    1008127
  • Title

    Polyphase sequence with low autocorrelations

  • Author

    Zhang, N. ; Golomb, S.W.

  • Author_Institution
    Pacific Bell, San Ramon, CA, USA
  • Volume
    39
  • Issue
    3
  • fYear
    1993
  • fDate
    5/1/1993 12:00:00 AM
  • Firstpage
    1085
  • Lastpage
    1089
  • Abstract
    It is proved that Golomb sequences have perfect periodic autocorrelation. It is also proved that the magnitudes of the out-of-phase aperiodic autocorrelation values of Golomb sequences of length L for all L⩾14 are bounded by √(L /3). It is shown that Bg(L) is asymptotic to √(L/c) (where c≈4.348. . .), as L goes to infinity
  • Keywords
    binary sequences; correlation theory; Golomb sequences; asymptotic equality; out-of-phase aperiodic autocorrelation; perfect periodic autocorrelation; polyphase sequence; Autocorrelation; Binary sequences; Multiaccess communication; Notice of Violation; Radar applications;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.256535
  • Filename
    256535