Asymptotics of ergodic MIMO capacity in correlated Rayleigh fading environments

Using recent analytical results on the exact ergodic capacity of correlated MIMO channels, with transmit as well as receive correlation, in flat Rayleigh fading environments, we derive simple asymptotic expressions for ergodic capacity in the low and high SNR region. The asymptotics allow for a simple assessment of the influence of the various system parameters and fading correlation on ergodic capacity. Furthermore, we use the asymptotics for studying the capacity-achieving transmission strategies for the case of channel distribution information at the transmitter. Monte-Carlo simulations confirm the validity and accuracy of the analysis.