• DocumentCode
    907027
  • Title

    Generalized Barker sequences

  • Author

    Golomb, S.W. ; Scholtz, R.A.

  • Volume
    11
  • Issue
    4
  • fYear
    1965
  • fDate
    10/1/1965 12:00:00 AM
  • Firstpage
    533
  • Lastpage
    537
  • Abstract
    A generalized Barker sequence is a finite sequence {a_{r}} of complex numbers having absolute value 1 , and possessing a correlation function C(\\tau ) satisfying the constraint |C(\\tau )| \\leq 1, \\tau \\neq 0 . Classes of transformations leaving |C(\\tau )| invariant are exhibited. Constructions for generalized Barker sequences of various lengths and alphabet sizes are given. Sextic Barker sequences are investigated and examples are given for all lengths through thirteen. No theoretical limit to the length of sextic sequences has been found.
  • Keywords
    Correlation functions; Sequences; Autocorrelation; NASA; Power generation; Propulsion; Testing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1965.1053828
  • Filename
    1053828
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=907027