Performance Analysis for Distributed Antenna Systems Based on Random Matrix Theory

In this paper, we analyze the performance of distributed antenna systems (DASs) using random matrix theory. We consider the scenarios that the antennas of the terminals are distributed geographically in the coverage instead of being installed nearby each other, e.g. the high-speed railway networks and the high-altitude platform networks. Thus the variances of the entries in the considered channel matrix, named as unequal-covariance Wishart matrix, are different from each other. To the best of the authors' knowledge, the work on random matrices with elements having different variances is largely open, which is of great importance for DASs. In our work, some results on the eigenvalue distributions of the unequal-covariance Wishart matrix are derived. Then based on these conclusions the outage probability of the considered DAS over Rayleigh fading channels is derived. Finally, the accuracy of our analytical results is assessed by numerical results.