Analysis of the outage probability for MIMO systems with receive antenna selection

This paper presents a comprehensive analysis of the outage probability for multiple-input-multiple-output (MIMO) systems with receive antenna selection. In this analysis, it is assumed that 1) for a given M receive antennas, the receiver selects the best L antennas that maximize the capacity, 2) the channel state information is perfectly known at the receiver, but not at the transmitter, 3) the subchannels fade independently, and 4) the fading coefficients change very slowly such that averaging with respect to these coefficients is not possible. Under these assumptions, two upper bounds on the outage probability with receive antenna selection are derived. The first bound is used to show that the diversity order is maintained with antenna selection. The second bound is used to approximate the degradation in signal-to-noise ratio due to antenna selection. Furthermore, the asymptotic behavior of the outage probability for MIMO systems is analyzed as the number of transmit antennas tends to infinity. The asymptotic results presented are extended to the case with receive antenna selection. For all cases, explicit expressions for the threshold for the outage probability are derived. Several numerical examples that validate the analysis are also presented.