• DocumentCode
    3073595
  • Title

    Exponential-Type Bounds on the First-Order Marcum Q-Function

  • Author

    Fu, Hua ; Kam, Pooi-Yuen

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore
  • fYear
    2011
  • fDate
    5-9 Dec. 2011
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    This paper presents new bounds on the Marcum Q-function Q1 (a, b). First, new, simple, arbitrarily tight, exponential lower bounds on the zeroth-order modified Bessel function of the first kind Io(x) and the Gaussian Q-function Q(x) are derived. Due to their elegant features, these new bounds are fundamental in their own rights. Then, when they are applied to the Marcum Q-function that is expressed as a function of lo(x) and Q(x), various new exponential-type lower and upper bounds are developed.
  • Keywords
    Bessel functions; Gaussian distribution; exponential distribution; Gaussian Q-function; exponential-type lower bound; exponential-type upper bound; first-order Marcum Q-function; zeroth-order modifided Bessel function; Convex functions; Error probability; Fading; IEEE Communications Society; Information theory; Receivers; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Global Telecommunications Conference (GLOBECOM 2011), 2011 IEEE
  • Conference_Location
    Houston, TX, USA
  • ISSN
    1930-529X
  • Print_ISBN
    978-1-4244-9266-4
  • Electronic_ISBN
    1930-529X
  • Type

    conf

  • DOI
    10.1109/GLOCOM.2011.6133801
  • Filename
    6133801
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3073595