A simple single integral representation of the bivariate rayleigh distribution

Marvin K. Simon*, Mohamed Slim Alouini

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


Using an alternate representation of the Marcum Q-function, an expression for the bivariate Rayleigh cumulative distribution function is found in the form of a single integral with finite limits and an integrand composed of elementary functions. This result has advantage over previous forms of the same CDF which involve the Marcum Q-function itself or are expressed as infinite series of products of integrals.

Original languageEnglish (US)
Pages (from-to)128-130
Number of pages3
JournalIEEE Communications Letters
Issue number5
StatePublished - 1998
Externally publishedYes


  • Communication channels
  • Digital communications
  • Fading channels

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering


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