Selection Combiner Output Distributions of Multivariate Equally-Correlated Generalized-Rician Fading for Any Degrees of Freedom.

Obtaining tractable and compact expressions for cumulative distribution functions (cdfs) of multivariate correlated fading has long been difficult in wireless communications. Selection combiner output (SCO) single-user cdfs of multivariate correlated and identically distributed (c.i.d.) or equally-correlated Rayleigh, Rician, and Nakagami- $m$ fading for only even integer $n$-degree-of-freedom (DoF) noncentral chi-square distributed received signal envelopes have been studied in the literature. New infinite-summation and single-integral single-user single-input multiple-output (SIMO) SCO cdfs of multivariate c.i.d. generalised-Rician fading for any integer $n$ DoF noncentral chi-square, i.e., $n$ can be even and odd, are obtained in this paper. The new distributions, first, generalize existing results; second, can be extended for c.i.d. single-user and multiuser multiple-input multiple-output environments; and third open up new research directions in this topic. Detailed mathematical proof, discussions, and simulation results are given. [ABSTRACT FROM AUTHOR]