Ergodic mutual information of amplify-and-forward MIMO relay channels with LOS components

In this paper, we address the ergodic mutual information of amplify-and-forward multiple-input multiple-output two-hop relay channels. In these channels, the source terminal, relay terminal, and destination terminal are equipped with a number of correlated antennas, and there presents a line-of-sight component on each link. The models have widel applications in the field of machine-type communication devices, such as meters and sensors. Given channel matrices with Gaussian entries, the mean of mutual information is derived under the large-system regimen, in which the number of antennas at the transmitter and the receiver go to infinity with a fixed ratio. Simulation results demonstrate that even for a moderate number of antennas at each end, the proposed analytical results provide undistinguishable results from those obtained by Monte-Carlo simulations. In addition, the well approximation property holds even if the entries of the channel matrices are non-Gaussian.