Low Complexity Hybrid Precoding and Diversity Combining Based on Spatial Lobes Division for Millimeter Wave MIMO Systems

In this paper, we focus on the design of low complexity hybrid analog/digital precoding and diversity combining in the millimeter wave multiple-input multiple-output (MIMO) systems. Firstly, by exploiting the sparseness property of the millimeter wave in the angular domain, we propose a spatial lobes division (SLD) to group the total paths of the millimeter wave channel into several spatial lobes, where the paths in each spatial lobe form a low-rank sub-channel matrix. Secondly, based on the SLD operation, we propose a low complexity hybrid precoding scheme, named HYP-SLD. Specifically, for each low-rank sub-channel matrix, we formulate the hybrid precoding design as a sparse reconstruction problem, and decouple the design of the analog and digital precoding matrices to obtain the near-optimal solution. Simulation results demonstrate that, the proposed HYP-SLD scheme reduces by 99% the complexity of the classic orthogonal matching pursuit (OMP) scheme, and achieves similar spectral efficiency and bit error rate (BER) performances compared with the fully digital precoding scheme. Finally, we further propose a maximum ratio combining (MRC) based diversity combining scheme, named HYP-SLD-MRC, to improve the BER performance. Simulation results also show that, the BER performance of the proposed HYP-SLD-MRC scheme outperforms the fully digital precoding scheme.