Abstract

Obtaining accurate instantaneous channel state information (CSI) is challenging for multiple-input–multiple-output (MIMO) systems, particularly if the channel fluctuates rapidly. A more practical assumption is statistical CSI as the channel statistics are likely to remain unchanged for a longer period. In this letter, we propose a precoder design, using only statistical CSI, to minimize error probability for practical MIMO systems with channel estimation errors. Our proposed precoder design is shown to achieve a significant improvement in error performance when compared with other precoding schemes in literature. For example, for a real 4 $\times$ 4 MIMO system with BPSK modulation and at a codeword error rate of $10^{-3}$ , coding gains of up to 12 dB can be achieved.

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