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arXiv 2602.20599cs.ITeess.SPmath.IT
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连续孔径阵列中考虑耦合的高效求解器

Efficient Solvers for Coupling-Aware Beamforming in Continuous Aperture Arrays

Korea Advanced Institute of Science and Technology(韩国科学技术院);Samsung Electronics Company Ltd.(三星电子株式会社)

Geonhee Lee, Kwonyeol Park, Hyeongjun Park, Jinwoo An, Junil Choi

AI总结:

本文提出两种高效求解器,用于连续孔径阵列中考虑互耦的波束成形优化,通过坐标变换和LU分解提升计算效率与准确性。

摘要:

在连续孔径阵列(CAPAs)中,对底层物理的细致考虑至关重要,其中电磁(EM)互耦在波束成形性能中起着关键作用。基于一个物理一致的互耦模型,波束成形设计被形式化为一个函数优化问题,其最优性条件导致一个Fredholm积分方程。然而,互耦模型的引入显著增加了计算复杂性,需要高效且准确的积分方程求解器。在本文中,我们提出两种高效的求解器:1)一种基于坐标变换的核近似方法,该方法在保持算子结构的同时减轻了离散化需求;2)一种直接的低阶-上阶(LU)基于求解器,能够稳定处理Nyström离散化系统。数值结果表明,与传统方法相比,改进的准确性和减少的计算开销得到了验证,其中基于LU的求解器通过离线分解成为大规模CAPA优化的高效且可扩展的解决方案。

英文摘要:

In continuous aperture arrays (CAPAs), careful consideration of the underlying physics is essential, among which electromagnetic (EM) mutual coupling plays a critical role in beamforming performance. Building on a physically consistent mutual coupling model, the beamforming design is formulated as a functional optimization whose optimality condition leads to a Fredholm integral equation. The incorporation of the coupling model, however, substantially increases computational complexity, necessitating efficient and accurate integral equation solvers. In this letter, we propose two efficient solvers: 1) a coordinate-transformation-based kernel approximation that preserves the operator structure while alleviating discretization demands, and 2) a direct lower-upper (LU)-based solver that stably handles the Nyström-discretized system. Numerical results demonstrate improved accuracy and reduced computational overhead compared to conventional methods, with the LU-based solver emerging as an efficient and scalable solution for large-scale CAPA optimization via offline factorization.

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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