Vector perturbation and permutation precoder design over correlated MIMO channels with limited feedback

In this paper, we present a vector perturbation precoder design with vector permutation over spatially correlated multiple-input multiple output (MIMO) channels with limited feedback. The proposed vector permutation and perturbation design helps to alleviate the effect of performance degradation due to channel correlation. In this work, an perturbation theory-inspired codebook design is obtained from a quantization of the local neighborhood around the dominant precoding direction. The codebook design is implemented in practice on the Grass-mannian manifold. The predefined codebook is used for searching the optimal perturbation and permutation vectors so that the searching complexity is reduced. The bit-error rate (BER) performance of the proposed system is also analyzed. Finally, numerical simulations are provided to verify the performance of the proposed systems.