Sum-rate optimization methods and analysis for reconfigurable intelligent surface aided communication system^✩

Abstract

When deploying Reconfigurable Intelligent Surface (RIS) to improve System Sum-Rate (SSR), the timeliness and accuracy of SSR optimization methods are difficult to achieve simultaneously through a single algorithm. Some algorithms focus on timeliness, while some focus on accuracy. In this paper, in order to take into account the timeliness and accuracy of the system comprehensively, we construct SSR analysis model of RIS-assisted multi- user downlink communication system and propose several new optimization methods. The goal is to maximize SSR by using the proposed algorithms to jointly optimize power allocation and reflection coefficients. To solve this comprehensive problem, two sets of Alternating Optimization (AO)-based timeliness algorithms and one set of Monotonic Optimization (MO)-based accuracy algorithms are proposed separately to jointly optimize system performance. First, the Water-Filling (WF)-based and penalty-based low complexity algorithms are developed to optimize power allocation and reflection coefficients respectively. To improve the reality of the calculation, penalty-based algorithm cleverly considers residual noise that is difficult to calculate. Then, for further improve the timeliness, a new Successive Convex Approximation (SCA)-based low complexity algorithm is designed to further optimize reflection coefficients and its convergence is proved. Third, in order to verify the effectiveness of the proposed timeliness algorithms, we further propose MO-based accuracy algorithms, in which, the Polyblock Outer Approximation (POA) algorithm, the Semidefinite Relaxation (SDR) method, and the bisection search algorithm are combined in a novel way. Numerical results confirm the timeliness of AO-based algorithms and the accuracy of MO-based algorithms. They supervise and complement each other.

Keywords

Reconfigurable intelligent surface / Timeliness / Accuracy / Alternating optimization algorithm / Polyblock outer approximation algorithm

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