  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.
