论文标题

与硬件障碍有关的RIS辅助MIMO系统:稳健的波束形成设计和分析

RIS-Aided MIMO Systems with Hardware Impairments: Robust Beamforming Design and Analysis

论文作者

Wang, Jintao, Gong, Shiqi, Wu, Qingqing, Ma, Shaodan

论文摘要

预计可重构智能表面(RIS)是一项新型的成本效益技术,可以提高未来无线系统的性能。在本文中,我们研究了在有收发器硬件障碍,RIS相位噪声和不完美的通道状态信息(CSI)的情况下,在存在的实用RIS AID多输入 - 元素输出(MIMO)系统中。特别考虑了MIMO收发器和RIS反射矩阵的关节设计,以最大程度地降低所有数据流的总平均均方(MSE)。由于新考虑的实际缺陷,这个联合设计问题是非凸面和挑战性的。为了解决该问题,我们首先通过纳入上述系统缺陷的影响来分析总平均MSE。然后,为了处理紧密耦合的优化变量和非Convex NP-HARD约束,提出了一种基于交替优化(AO)框架的有效迭代算法,并具有保证的收敛性,其中每个副标都通过承认大型化(MMMMMM)的封闭式最佳解决方案。此外,通过利用单位模式约束的特殊结构,我们提出了一种修改的Riemannian梯度上升(RGA)算法,以进行离散的RIS相移优化。此外,在视线(LOS)通道条件下验证了所提出的算法的最佳性,并且在高信噪比(SNR)方面也揭示了由硬件和CSI不完美引起的不可还原的MSE地板效应。数值结果表明,我们所提出的算法比采用的基准方案出色,并证明在上述系统缺陷下,增加RIS元素的数量并不总是有益的。

Reconfigurable intelligent surface (RIS) has been anticipated to be a novel cost-effective technology to improve the performance of future wireless systems. In this paper, we investigate a practical RIS-aided multiple-input-multiple-output (MIMO) system in the presence of transceiver hardware impairments, RIS phase noise and imperfect channel state information (CSI). Joint design of the MIMO transceiver and RIS reflection matrix to minimize the total average mean-square-error (MSE) of all data streams is particularly considered. This joint design problem is non-convex and challenging to solve due to the newly considered practical imperfections. To tackle the issue, we first analyze the total average MSE by incorporating the impacts of the above system imperfections. Then, in order to handle the tightly coupled optimization variables and non-convex NP-hard constraints, an efficient iterative algorithm based on alternating optimization (AO) framework is proposed with guaranteed convergence, where each subproblem admits a closed-form optimal solution by leveraging the majorization-minimization (MM) technique. Moreover, via exploiting the special structure of the unit-modulus constraints, we propose a modified Riemannian gradient ascent (RGA) algorithm for the discrete RIS phase shift optimization. Furthermore, the optimality of the proposed algorithm is validated under line-of-sight (LoS) channel conditions, and the irreducible MSE floor effect induced by imperfections of both hardware and CSI is also revealed in the high signal-to-noise ratio (SNR) regime. Numerical results show the superior MSE performance of our proposed algorithm over the adopted benchmark schemes, and demonstrate that increasing the number of RIS elements is not always beneficial under the above system imperfections.

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