Approximate Random Matrix Models for Generalized Fading MIMO Channels

Abstract: Approximate random matrix models for $\kappa-\mu$ and $\eta-\mu$ faded multiple input multiple output (MIMO) communication channels are derived in terms of a complex Wishart matrix. The proposed approximation has the least Kullback-Leibler (KL) divergence from the original matrix distribution. The utility of the results are demonstrated in a) computing the average capacity/rate expressions of $\kappa-\mu$/$\eta-\mu$ MIMO systems b) computing outage probability (OP) expressions for maximum ratio combining (MRC) for $\kappa-\mu$/$\eta-\mu$ faded MIMO channels c) ergodic rate expressions for zero-forcing (ZF) receiver in an uplink single cell massive MIMO scenario with low resolution analog-to-digital converters (ADCs) in the antennas. These approximate expressions are compared with Monte-Carlo simulations and a close match is observed.