• DocumentCode
    59936
  • Title

    Perfect Gaussian Integer Sequences of Odd Period {2^m} - 1

  • Author

    Chong-Dao Lee ; Yu-Pei Huang ; Yaotsu Chang ; Ho-Hsuan Chang

  • Author_Institution
    Dept. of Commun. Eng., I-Shou Univ., Kaohsiung, Taiwan
  • Volume
    22
  • Issue
    7
  • fYear
    2015
  • fDate
    Jul-15
  • Firstpage
    881
  • Lastpage
    885
  • Abstract
    In this letter, some perfect Gaussian integer sequences of period 2m - 1 are proposed based on the trace representations of Legendre sequences, Hall´s sextic residue sequences, m-sequences, and Gordon-Mills-Welch (GMW) sequences over the finite field BBF2m. Moreover, the energy efficiency of these sequences is approximately 1 for sufficiently large m.
  • Keywords
    Gaussian processes; integer programming; GMW sequences; Gaussian integer sequences; Gordon-Mills-Welch; Hall sextic residue sequences; Legendre sequences; odd Period 2m - 1; Cities and towns; Correlation; Educational institutions; Peak to average power ratio; Polynomials; Zinc; $m$-sequences; Hall’s sextic residue sequences; Legendre sequences; perfect Gaussian integer sequences; trace representation;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2014.2375313
  • Filename
    6967790
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=59936