• DocumentCode
    1539597
  • Title

    The Triple Autocorrelation of an {m} -Sequence is a Lempel Costas Array

  • Author

    Drakakis, Konstantinos ; Gow, Roderick ; Rickard, Scott

  • Author_Institution
    Complex and Adaptive Systems Laboratory, University College Dublin, Dublin, Ireland
  • Volume
    58
  • Issue
    9
  • fYear
    2012
  • Firstpage
    6047
  • Lastpage
    6053
  • Abstract
    The triple autocorrelation of a sequence is shown to be a Lempel Costas array iff the sequence is maximal, assuming correlation is appropriately defined and the alphabet of the sequence is of prime size. A method that allows the construction of thumbtack autocorrelation sequences of arbitrary alphabet size is subsequently proposed.
  • Keywords
    Adaptive systems; Arrays; Correlation; Educational institutions; Phase shift keying; Polynomials; Vectors; ${m}$-sequences; Costas arrays; Golomb arrays; Lempel arrays; multichannel phase shift keying (PSK) modulation; triple correlation;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2012.2204541
  • Filename
    6217309
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1539597