Bivariate nakagami-m distribution with arbitrary correlation and fading parameters

New, exact expressions concerning the bivariate Nakagami-m processes with arbitrary correlation and fading parameters are derived. More specifically, the following are obtained in the present work: joint moment generating function; joint probability density function; joint cumulative distribution fu...

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Bibliographic Details
Published in:IEEE transactions on wireless communications 2008-12, Vol.7 (12), p.5227-5232
Main Authors: de Souza, R.A.A., Yacoub, M.D.
Format: Article
Language:English
Subjects:
Applied sciences
Bivariate distribution
combiners
Convergence
Correlation
Correlation coefficients
Distribution functions
Exact sciences and technology
Fading
fading channels
Gaussian
Mathematical analysis
Nakagami distribution
Nakagami-m
Polynomials
Power generation
Probability density function
Probability density functions
Signal generators
Signal to noise ratio
Statistical distributions
Statistics
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
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Summary:New, exact expressions concerning the bivariate Nakagami-m processes with arbitrary correlation and fading parameters are derived. More specifically, the following are obtained in the present work: joint moment generating function; joint probability density function; joint cumulative distribution function; power correlation coefficient; and several statistics related to the signal-to-noise ratio at the output of the selection combiner, namely, outage probability, probability density function, and mean SNR. The expressions make use of the well known generalized Laguerre polynomials. They are mathematically tractable and flexible enough to accommodate a myriad of correlation scenarios, useful in the analysis of a more general fading environment. We maintain, however, that a relation among the correlation coefficients of the corresponding Gaussian components must be kept so that convergence is attained.
ISSN:1536-1276
1558-2248
DOI:10.1109/T-WC.2008.071152