Title :
Sum and difference of two squared correlated Nakagami variates in connection with the McKay distribution
Author :
Holm, Henrik ; Alouini, Mohamed-Slim
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Minnesota, Minneapolis, MN, USA
Abstract :
General formulas for the probability density function of the sum and the difference of two correlated, not necessarily identically distributed, squared Nakagami variates (or equivalently, gamma variates) are derived. These expressions are shown to be in the form of the McKay "Bessel function" distributions. In addition, formulas for the moments of these distributions, in terms of the Gauss hypergeometric function, are provided. An application of these new results relevant to the calculation of outage probability in the presence of self-interference is discussed.
Keywords :
Bessel functions; fading channels; gamma distribution; probability; Bessel function distribution; Gauss hypergeometric function; McKay distribution; Nakagami fading; gamma variates; outage probability; probability density function; self-interference; squared correlated Nakagami variates; Distributed computing; Fading; Gaussian distribution; Helium; Nakagami distribution; Performance analysis; Power system modeling; Probability density function; Rayleigh channels; Statistical distributions; Correlated fading; McKay distribution; Nakagami fading; gamma distribution; outage probability;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2004.833019
