Asymptotic Upper Capacity Bound for Receive Antenna Selection in Massive MIMO Systems

This paper studies the receive antenna selection in massive multiple-input multiple-output (MIMO) systems. The receiver, equipped with a large-scale antenna array whose size is much larger than that of the transmitter, selects a subset of antennas to receive messages. An asymptotic approximated upper capacity bound is derived in the limit of massive MIMO systems over independent and identical distributed Rayleigh flat fading channel, assuming that the channel state information (CSI) is only available at the receiver. Compared with the conventional derivations, this approximate result requires much less computing with the guarantee of considerably high precision. Furthermore, the asymptotic theory is separately applied to two scenarios which is based on whether the total amount of the selected antennas exceeds that of the transmit antennas. Besides analytical derivations, simulation results are provided to demonstrate the approximation precision of the asymptotic results and the tightness of the capacity bound.