On the asymptotic behavior of the outage probability for MIMO systems

The asymptotic behavior of the outage probability has been studied recently with the assumption that the receiver is equipped with a single antenna. In this paper, we extend this study to an arbitrary number of receive antennas. We use the Gaussian approximation for the distribution of the random mutual information to derive a threshold for the outage probability. We extend our results to the case when the receiver selects a subset of the available antennas where selection is based on maximizing capacity. We derive the pdf of the mutual information with antenna selection, and show that it can be approximated well with a Gaussian distribution. Based on this pdf, we derive a threshold for the outage probability with antenna selection. We also present several numerical examples that validate our analysis.