Robust Minimax MSE Transceiver and Power Splitting Design for Multiuser MIMO SWIPT: An LMI Approach

This paper proposes a robust joint transceiver and power splitting (PS) design according to a minimax mean-square-error (MSE) scheme for multiuser multi-input multi-output (MUMIMO) simultaneous wireless information and power transfer (SWIPT) system. The proposed scheme considers channel uncertainty as a bound on the spectral matrix norm of each estimated error. Since the proposed robust minimax MSE design problem jointly optimizes the precoder, the equalizers and the PS factors, the proposed design problem is non-convex and non-deterministic polynomial-time hard (NP-hard). Thus, we transform the original optimization problem into an iteratively linear matrix inequalities (LMIs)-constrained optimization problem, which can be solved efficiently by the convex optimization toolbox. According to the simulation results of the MU-MIMO PS SWIPT wireless system with the benchmark of robust precoder, the proposed method can validate the theoretical analysis to achieve robust transceiver design effectively.