• DocumentCode
    868136
  • Title

    Multilevel codes and multistage decoding

  • Author

    Calderbank, A.R.

  • Author_Institution
    AT&T Bell Lab., Murray Hill, NJ, USA
  • Volume
    37
  • Issue
    3
  • fYear
    1989
  • fDate
    3/1/1989 12:00:00 AM
  • Firstpage
    222
  • Lastpage
    229
  • Abstract
    H. Imai and S. Hirakawa have proposed (1977) a multilevel coding method based on binary block codes that admits a staged decoding procedure. The author extends the coding method to coset codes and shows how to calculate minimum squared distance and path multiplicity in terms of the norms and multiplicities of the different cosets. The multilevel structure allows the redundancy in the coset selection procedure to be allocated efficiently among the different levels. It also allows the use of suboptimal multistage decoding procedures that have performance/complexity advantages over maximum-likelihood decoding
  • Keywords
    codes; decoding; encoding; binary block codes; coset codes; minimum squared distance; multilevel coding; multistage decoding; path multiplicity; staged decoding procedure; Block codes; Communication channels; Communications Society; Conferences; Constellation diagram; Euclidean distance; Gaussian channels; Maximum likelihood decoding; Modulation coding; Signal design;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/26.20095
  • Filename
    20095