Capacity of SPRAS-MIMO System with MMSE Channel Estimation

Multiple input multiple output (MIMO) systems equipped with smart passive receive antenna selection (SPRAS) technique need the channel state information at receiver side (CSIR) to optimally and adaptively provide the same performance as full-complexity MIMO structure. However, a perfect CSIR is not usually available due to channel estimation errors. In this paper, we investigate the effect of minimum mean square error (MMSE) channel estimation on the capacity of SPRAS-MIMO system. The lower and upper bounds on the mutual information under channel estimation error are studied and the mutual information is maximized with the optimum passive beamformer. Numerical results show how the capacity decreases by increasing the channel estimation error. The effect of the channel estimation error on the bit-error-rate (BER) performance is also studied.