Xue, X; Wang, Y; Dai, L; Masouros, C; (2018) Relay Hybrid Precoding Design in Millimeter-Wave Massive MIMO Systems. IEEE Transactions on Signal Processing , 66 (8) pp. 2011-2026. 10.1109/TSP.2018.2799201.

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Abstract

This paper investigates the relay hybrid precoding design in millimeter-wave (mmWave) massive MIMO systems. The optimal design of the relay hybrid precoding is highly nonconvex, due to the six-order polynomial objective function, sixorder polynomial constraint, and constant-modulus constraints. To efficiently solve this challenging non-convex problem, we first reformulate it into three quadratic subproblems, where one of the subproblems is convex and the other two are non-convex. Then, we propose an iterative successive approximation (ISA) algorithm to attain the high-approximate optimal solution to the original problem. Specifically, in the proposed ISA algorithm, we first convert the two non-convex subproblems to convex ones by the relaxation of the constant-modulus constraints, and then we solve the three corresponding convex subproblems iteratively. We theoretically prove that the ISA algorithm converges to a KarushKuhn-Tucker (KKT) point of the original problem. Simulation results demonstrate that the proposed ISA algorithm achieves good performance in terms of achievable rate in both fullconnected and sub-connected relay hybrid precoding systems.

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