Low-complexity MMSE detector based on refinement Jacobi method for massive MIMO uplink

Minimum mean square error (MMSE) linear detector can achieve the near-optimal bit error rate (BER) performance for uplink multi-user massive multiple input multiple output (MIMO) systems, but it involves matrix inversion with high complexity, especially when the number of users is high. In order to reduce the complexity, Jacobi iterative method has been applied for low-complexity MMSE detector without employing the computationally intensive matrix inversion. However, its convergence rate is low. In this paper, we propose a novel low-complexity MMSE detector based on the refinement of Jacobi iterative method. This refinement is given by the use of band matrix in order to accelerate the convergence rate, as well as guaranteeing the near-optimal BER performance. Analytical and simulation results show the efficiency of the proposed detector in comparison to the recently Jacobi-based detector.