Bivariate G distribution with arbitrary fading parameters

The correlated bivariate G distribution with arbitrary and not necessarily identical parameters is addressed in this paper. This compound distribution, which is a mixture of arbitrary correlated Rayleigh and inverse Gaussian random variables (RVs), is very convenient for modeling correlated fading shadowing channels. New closed-form expressions for the probability density function (PDF), the cumulative density function (CDF) and the joint moments are provided to statistically characterize the bivariate G distribution. Furthermore, simpler expressions are obtained when considering independent inverse-Gaussian shadowing. Capitalizing on these theoretical expressions for the statistical characteristics of the correlated G distribution, the performance analysis of various diversity reception techniques, such as selection diversity (SD) and maximal ratio combining (MRC) over bivariate G fading channels is presented.