A tight and closed capacity bound for joint transmit and receive antenna selection systems

Abstract

In this paper, the capacity of joint transmit and receive antenna selection systems is investigated. Due to the difficulty in math, a general and closed-form capacity expression has not been obtained in previous works. In this paper, in terms of capacity maximization, we derive a closed-form upper bound of capacity for joint transmit and receive antenna selection systems. Our capacity bound is general for the system in which Ms out of M transmit antennas and Ns out of N receive antennas are selected arbitrarily. Simulations results show that our capacity results match the Monte Carlo results perfectly and are tighter than otherpsilas capacity bounds.