P-OMP-IR Algorithm for Hybrid Precoding in Millimeter Wave MIMO Systems

This paper presents a P-OMP-IR algorithm for the hybrid precoding problem in millimeter wave (mm-Wave) multiple-input multiple-output (MIMO) systems. In the proposed approach, the digital precoding matrix is updated via the orthogonal matching pursuit (OMP) method, and the analog precoding matrix is refined column by column using the dominant singular value and corresponding singular vectors of a residual matrix successively. During the refining phase of the analog precoding matrix, an extended power method is designed to calculate the dominant singular value and the corresponding left and right singular vectors, which is able to reduce the computational complexity significantly. Simulation results show that the proposed algorithm can not only reduce the residual of the hybrid precoder effectively, but also improve the spectral efficiency consistently.