Ergodic sum rate analysis of K fading MIMO channels with linear MMSE receiver

In this paper, we investigate the ergodic sum rate of K fading MIMO channels with linear MMSE receiver, which is an analytically friendly fading model to describe both the small scale fading and shadowing. The exact closed-form expression of the ergodic sum rate was derived, which is applicable for arbitrary number of transmit and receive antennas and any signal to noise ratio (SNR) range. Moreover, simple expressions were derived for the ergodic sum rate in the high and low SNR regimes. The analytical results enable us to gain insights on how the key system parameters affect the ergodic sum rate of the system. Numerical results are presented and verified via Monte Carlo simulations.