Statistical designs for transmission over correlated MIMO channels with linear receivers

In this paper we jointly consider statistical precoding and statistical bit allocation for transmission over correlated MIMO (multiple-input and multiple-output) channels with a linear and zero forcing receiver. Assuming the statistics of the channel is available to the transmitter, we will derive BER bounds using the statistics of subchannel error variances. The bounds are then used to design statistical pre-coder and statistical bit allocation. The combination of statistical precoding and bit allocation has great advantage over statistical precoding alone or statistical bit allocation alone. This is because the proposed precoding helps to bring out the statistical difference among the subchannels, which is then exploited by statistical bit allocation to better the performance. Simulations will be given to demonstrate that, the proposed system has significant gain over statistical designs that employs statistical precoding only or statistical bit allocation only.