Finite-State Markov Chain Approximation for Geometric Mean of MIMO Eigenmodes
Time-varying nature of mobile fading channels can affect the design of wireless systems in many different aspects. This paper investigates the dynamic behavior of intrinsic spatial links in Multiple-Input Multiple-Output (MIMO) transceivers based on Geometric Mean Decomposition (GMD). In particular, the authors suggest using a Finite-State Markov Chain (FSMC) to model the fluctuations of both eigenmodes geometric mean and capacity for MIMO-GMD schemes in Rayleigh fading channels. In order to compute the transition probabilities analytically, a number of related statistical distributions are developed and employed. Simulation results have illustrated that FSMC can provide accurate approximations.