A lower bound on outage probability of limited feedback MIMO beamforming systems

In this paper, the performance of multiple-input multiple-output (MIMO) beamforming-combining wireless systems employing limited feedback is studied from the point-of-view of outage probability. In the absence of perfect channel knowledge, the transmitter uses a quantized beamforming vector from a predesigned set of vectors, called codebook. A tight lower bound on the outage probability is derived for a system using an optimal codebook designed using maximizing minimum distance criterion. This analysis quantifies the impact of feedback rate and antenna systems. Simulations have shown that practical codebooks can closely achieve the lower bound.