arXiv:2507.15367math.OCcs.AI2025-07

优化智能表面多波束赋形,兼顾辐射掩蔽约束与低时延。

Multi-beam Beamforming in RIS-aided MIMO Subject to Reradiation Mask Constraints -- Optimization and Machine Learning Design

  • 交替优化分解为二次约束问题,结合信道迭代算法提升效率。
  • 神经网络设计使求解时间显著降低,仅用4级相位仍保持良好波束增益。
  • 适用于需控制电磁污染的5G/6G智能反射面系统部署。

可重构智能表面(RIS)是提升未来无线系统频谱效率并降低功耗的新兴技术。本文研究了多用户RIS辅助大规模多输入多输出(MIMO)通信系统中发射预编码矩阵与RIS相位移矢量的联合设计。针对发射功率和再辐射掩蔽约束,提出最大化最小可实现速率的优化问题。通过Arimoto-Blahut算法简化可达速率表达式,并采用交替优化方法将其分解为带二次约束的二次规划(QPQC)子问题。为提高效率,设计了一种基于模型的神经网络优化方法,利用角度的一热编码表示入射与反射角。考虑实际RIS离散相移限制,采用贪心搜索算法求解。仿真结果表明,所提方法能有效将多波束辐射图指向目标方向,同时满足再辐射掩蔽约束。神经网络设计显著减少执行时间,离散相移方案仅使用4个相位级别即实现接近连续相移的波束成形性能。

原文摘要 · Abstract (English)

Reconfigurable intelligent surfaces (RISs) are an emerging technology for improving spectral efficiency and reducing power consumption in future wireless systems. This paper investigates the joint design of the transmit precoding matrices and the RIS phase shift vector in a multi-user RIS-aided multiple-input multiple-output (MIMO) communication system. We formulate a max-min optimization problem to maximize the minimum achievable rate while considering transmit power and reradiation mask constraints. The achievable rate is simplified using the Arimoto-Blahut algorithm, and the problem is broken into quadratic programs with quadratic constraints (QPQC) sub-problems using an alternating optimization approach. To improve efficiency, we develop a model-based neural network optimization that utilizes the one-hot encoding for the angles of incidence and reflection. We address practical RIS limitations by using a greedy search algorithm to solve the optimization problem for discrete phase shifts. Simulation results demonstrate that the proposed methods effectively shape the multi-beam radiation pattern towards desired directions while satisfying reradiation mask constraints. The neural network design reduces the execution time, and the discrete phase shift scheme performs well with a small reduction of the beamforming gain by using only four phase shift levels.

智能表面波束成形机器学习5G/6G

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