Probabilistic behavior analysis of MIMO fading channels under geometric mean decomposition

Geometric mean decomposition (gmd) has been proposed as a method to realize multiple spatial links with identical gains that are intrinsic to a mimo channel. in order to simplify system design and implementation based on knowledge regarding probability behavior of mimo-gmd schemes,the main objective of this paper is to statistically characterize the link gains and channel capacities that can be provided via gmd. in particular,closed-form univariate and bivariate probability density functions (pdfs) for these metrics under rayleigh fading are derived using gamma approximations. by applying these analytical results,the fluctuations of mimo-gmd schemes are examined by modeling both link gains and capacities using finite-state markov chains (fsmcs). © 2012 ping-heng kuo and pang-an ting.