  This study investigates the mean capacity of multiple-input multiple-output
(MIMO) systems for spatially semi-correlated flat fading channels. In reality,
the capacity degrades dramatic due to the channel covariance (CC) when
correlations exist at the transmitter or receiver or on both sides. Most
existing works have so far considered the traditional channel covariance
matrices that have not been entirely constructed. Thus, we propose an iterative
channel covariance (ICC) matrix using a matrix splitting (MS) technique with a
guaranteed zero correlations coefficient in the case of the downlink correlated
MIMO channel, to maximize the mean capacity. Our numerical results show that
the proposed ICC method achieves the maximum channel gains with high
signal-to-noise ratio (SNR) scenarios.
