• DocumentCode
    1089236
  • Title

    Tight geometric bound for Marcum Q-function

  • Author

    Zhao, X. ; Gong, D. ; Li, Y.

  • Author_Institution
    Tsinghua Univ., Beijing
  • Volume
    44
  • Issue
    5
  • fYear
    2008
  • Firstpage
    340
  • Lastpage
    341
  • Abstract
    A new geometric bound is proposed for the Marcum Q (MQ)-function. The proposed bounds are derived by the geometric interpretation of the first-order MQ-function, Q(a,b). It has been shown by previous researchers that Q(a,b) can be viewed as the probability that a complex, Gaussian random variable Z with real, nonzero mean lies outside of a circular region. Based on the interpretation, the new multi-sectors bound proves to be very tight and outperforms all previously proposed bounds.
  • Keywords
    Gaussian processes; functions; geometry; probability; random processes; Gaussian random variable; first-order Marcum Q-function; multisectors bound; probability method; tight geometric bound;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:20083171
  • Filename
    4460759