Statistical Transmit Antenna Selection for Correlated Rayleigh Fading MIMO Channels

The problem of transmit antenna subset selection is considered for Rayleigh fading MIMO (multiple-input multiple-output) channels with transmit correlation. We provide an active antennas control algorithm for minimum mean square error (MMSE) receivers, assuming the transmitter correlation matrices are available. Using Bartlett´s decomposition and Cauchy-Binet theorem, we derive a tight closed-form lower bound on the capacity of correlated Rayleigh MIMO channels. Based on this lower bound, we propose a transmit antenna selection criterion in terms of channel capacity maximization. Monte Carlo simulation results also validate our theoretical analysis