• DocumentCode
    1524966
  • Title

    On the Symbol Error Probability of Regular Polytopes

  • Author

    Agrell, Erik ; Karlsson, Magnus

  • Author_Institution
    Dept. of Signals & Syst., Chalmers Univ. of Technol., Goteborg, Sweden
  • Volume
    57
  • Issue
    6
  • fYear
    2011
  • fDate
    6/1/2011 12:00:00 AM
  • Firstpage
    3411
  • Lastpage
    3415
  • Abstract
    An exact expression is derived for the symbol error probability when the vertices of the four-dimensional 24-cell are used for digital transmission in Gaussian noise. Corresponding expressions for other regular convex polytopes are summarized. Numerically stable versions of these error probabilities are also obtained.
  • Keywords
    Gaussian noise; error statistics; modulation coding; Gaussian noise; digital transmission; regular polytopes; symbol error probability; Binary phase shift keying; Constellation diagram; Error probability; Optical fibers; Optical polarization; 24-cell; Convex polytopes; Voronoi cell; modulation; symbol error rate;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2134290
  • Filename
    5773009