we investigate the effect of imperfect channel state information (CSI) on the capacity of multiple-input multiple-output (MIMO) systems.A design of variable power adaptive modulation using imperfect CSI
subject to an average power and BER constraint
is proposed.Based on the statistic distribution of Wishart matrix
we derive the capacity expression of such systems in a closed-form.The results show that our design is more robust to CSI imperfections than the system designed under a perfect CSI assumption.