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arXiv 2603.08051cs.ITmath.IT

面向耦合的宽带多用户总速率最大化RHS波束成形

Coupling-Aware RHS Beamforming for Wideband Multi-User Sum Rate Maximization

Liangshun Wu, Wen Chen

AI总结:

本文提出面向耦合的宽带RHS波束成形方法,通过高效优化框架提升多用户总速率,验证了模型正确性和方法有效性。

摘要:

宽带多用户传输借助可重构全息表面(RHSs)本质上受到密集排列的亚波长辐射元件之间互耦效应的限制。本文开发了一种面向耦合的宽带RHS模型和高效的联合波束成形框架,以在实际馈电功率和RHS激励功率约束下最大化多用户总速率。我们基于磁偶极子元件建立了电磁等效模型,并将物理可解释的耦合分解为自由空间近场耦合和引导表面波耦合。在优化方面,我们采用基于加权最小均方误差(WMMSE)的块坐标方法,结合闭式数字预编码更新,并引入一种借助雅可比辅助的耦合一致全息更新,通过一阶替代保持耦合灵敏度,同时保持全息子问题的凸性,并通过投影一阶方法高效求解。Meep实验验证了所提耦合模型的正确性,对28~GHz、1~GHz带宽RHS下行链路的仿真证明了雅可比辅助WMMSE方法的有效性。

英文摘要:

Wideband multi-user transmission assisted by reconfigurable holographic surfaces (RHSs) is fundamentally limited by mutual coupling effect among densely packed sub-wavelength radiation elements. This paper develops a coupling-aware wideband RHS model and an efficient joint beamforming framework to maximize the multi-user sum rate under practical feeder power and RHS excitation power constraints. We establish an electromagnetic equivalent model based on magnetic-dipole elements and a physically interpretable coupling decomposition into free space near field coupling and guided surface wave coupling. For optimization, we employ a weighted minimum mean square error (WMMSE)-based block coordinate method with a closed-form digital precoder update and introduce a Jacobian-aided coupling consistent hologram update that preserves coupling sensitivity via a first-order surrogate while keeping the hologram subproblem convex and efficiently solvable by projected first-order methods. Meep experiments verify the correctness of the proposed coupling model, and the simulations for a 28~GHz, 1~GHz-bandwidth RHS downlink prove the effectiveness of Jacobian-aided WMMSE-based method.

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