DocumentCode
1370551
Title
A simple single integral representation of the bivariate Rayleigh distribution
Author
Simon, Marvin K. ; Alouini, Mohamed-Slim
Author_Institution
Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA
Volume
2
Issue
5
fYear
1998
fDate
5/1/1998 12:00:00 AM
Firstpage
128
Lastpage
130
Abstract
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.
Keywords
Rayleigh channels; fading; integral equations; probability; series (mathematics); Marcum Q-function; bivariate Rayleigh distribution; communication system performance; cumulative distribution function; elementary functions; infinite series; integral representation; probability density function; products of integrals; rayleigh fading; Algorithms; Communication channels; Digital communication; Distribution functions; Fading; Integral equations; Nakagami distribution; Performance analysis; Probability density function; Probability distribution;
fLanguage
English
Journal_Title
Communications Letters, IEEE
Publisher
ieee
ISSN
1089-7798
Type
jour
DOI
10.1109/4234.673656
Filename
673656
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