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arXiv 2507.17153eess.SP
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堆叠智能超表面辅助的多用户通信:从速率公平性视角出发

Stacked Intelligent Metasurface Assisted Multiuser Communications: From a Rate Fairness Perspective

Junjie Fang, Chao Zhang, Jiancheng An, Hongwen Yu, Qingqing Wu, Mérouane Debbah, Chau Yuen

AI总结:

针对SIM辅助多用户下行链路,研究提出基于ADMM的MR最大化与基于AO的GMR/SR最大化算法,在公平性、和速率及能效方面表现优越。

摘要:

堆叠智能超表面(SIM)通过采用多层结构扩展了单层可重构全息表面(RHS)的概念,从而增强了对电磁波传播的控制能力并提升了信号处理能力。本研究探讨了SIM在提升多用户下行链路系统速率公平性方面的潜力,并解决两个关键优化问题:最大化最小速率(MR)和最大化速率几何均值(GMR)。前者致力于提升最低用户速率,从而确保用户之间的公平性;后者则放宽公平性要求,以在用户公平性与系统和速率(SR)之间取得更好的折中。对于MR最大化,我们采用基于一致性交替方向乘子法(ADMM)的方法,将近似问题分解为具有闭式解的子问题。对于GMR最大化,我们开发了一种基于交替优化(AO)的算法,该算法同样产生闭式解,并且能够无缝适配于SR最大化。数值结果验证了所提算法的有效性和收敛性。对比评估表明,MR最大化可确保近乎完美的公平性,而GMR最大化则在公平性与系统SR之间取得平衡。此外,所提出的两种算法分别在MR和SR性能方面优于现有相关工作。最后,具有更低功耗的SIM实现了可与多天线数字波束成形相媲美的性能。

英文摘要:

Stacked intelligent metasurface (SIM) extends the concept of single-layer reconfigurable holographic surfaces (RHS) by incorporating a multi-layered structure, thereby providing enhanced control over electromagnetic wave propagation and improved signal processing capabilities. This study investigates the potential of SIM in enhancing the rate fairness in multiuser downlink systems by addressing two key optimization problems: maximizing the minimum rate (MR) and maximizing the geometric mean of rates (GMR). {The former strives to enhance the minimum user rate, thereby ensuring fairness among users, while the latter relaxes fairness requirements to strike a better trade-off between user fairness and system sum-rate (SR).} For the MR maximization, we adopt a consensus alternating direction method of multipliers (ADMM)-based approach, which decomposes the approximated problem into sub-problems with closed-form solutions. {For GMR maximization, we develop an alternating optimization (AO)-based algorithm that also yields closed-form solutions and can be seamlessly adapted for SR maximization. Numerical results validate the effectiveness and convergence of the proposed algorithms.} Comparative evaluations show that MR maximization ensures near-perfect fairness, while GMR maximization balances fairness and system SR. Furthermore, the two proposed algorithms respectively outperform existing related works in terms of MR and SR performance. Lastly, SIM with lower power consumption achieves performance comparable to that of multi-antenna digital beamforming.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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