MIMO capacity with channel state information at the transmitter

This paper presents analytical expressions for the capacity of single-user multi-antenna channels, known instantaneously by both transmitter and receiver, at moderate and high signal-to-noise ratios. Fading channels with both uncorrelated and correlated antennas are encompassed. The characterization is conducted primarily in the limit of large numbers of antennas, with accompanying examples that illustrate the validity of the results for even small numbers thereof. In the absence of correlation, the capacity is also tightly bounded for fixed numbers of antennas with compact closed-form expressions.