• DocumentCode
    847683
  • Title

    New bounds for the Marcum Q-function

  • Author

    Corazza, Giovanni E. ; Ferrari, Gianluigi

  • Author_Institution
    Dept. of Electron., Comput. Sci. & Syst., Bologna Univ., Italy
  • Volume
    48
  • Issue
    11
  • fYear
    2002
  • fDate
    11/1/2002 12:00:00 AM
  • Firstpage
    3003
  • Lastpage
    3008
  • Abstract
    New bounds are proposed for the Marcum Q-function, which is defined by an integral expression where the 0th-order modified Bessel function appears. The proposed bounds are derived by suitable approximations of the 0th-order modified Bessel function in the integration region of the Marcum Q-function. They prove to be very tight and outperform bounds previously proposed in the literature. In particular, the proposed bounds are noticeably good for large values of the parameters of the Marcum Q-function, where previously introduced bounds fail and where exact computation of the function becomes critical due to numerical problems
  • Keywords
    Bessel functions; integral equations; integration; signal detection; 0th-order modified Bessel function; Marcum Q-function; approximations; integral expression; integration region; new bounds; Convergence; Data compression; IEEE Computer Society Press; Minimax techniques; Notice of Violation; Probability distribution; Quantization; Source coding; Speech processing; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2002.804113
  • Filename
    1042356