• DocumentCode
    892699
  • Title

    Multilevel codes based on partitioning

  • Author

    Pottie, Gregory J. ; Taylor, Desmond P.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada
  • Volume
    35
  • Issue
    1
  • fYear
    1989
  • fDate
    1/1/1989 12:00:00 AM
  • Firstpage
    87
  • Lastpage
    98
  • Abstract
    Following V.V. Ginzburg (1984), a hierarchy of codes is proposed to match the geometric partitioning of a signal set. The authors show that coset codes (including Ungerboeck, lattice, and binary codes) and indeed any codes which rely on partitioning of the signal set are all subclasses of the proposed coding scheme. The combination of such codes in a multilevel scheme often leads to reduced complexity in comparison with previously published schemes. A variety of decoder structures is discussed
  • Keywords
    encoding; error correction codes; Ungerboeck codes; binary codes; coset codes; geometric partitioning; lattice codes; multilevel codes; signal set; Binary codes; Block codes; Councils; Euclidean distance; Frequency shift keying; Hamming distance; Lattices; Maximum likelihood decoding; Modulation coding; Phase modulation;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.42180
  • Filename
    42180