有限孔径建模用于多用户波束成形的方向图可重构天线
Finite-Aperture Modeling of Pattern-Reconfigurable Antennas for Multiuser Beamforming
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中文总结 AI 辅助
本文提出方向图可重构天线的有限孔径模型，利用傅里叶表示与系数界限，开发了高效的多用户波束成形算法，实现和速率提升与优化加速。
中文摘要 AI 辅助
本文建立了方向图可重构天线（PRAs）的有限孔径模型，并利用其孔径约束的傅里叶表示，开发了一种高效的多用户波束成形框架。首先，我们通过傅里叶级数表示复辐射方向图，建立了一个理想模型。通过应用雅可比-安格尔展开，我们将天线孔径与有效傅里叶阶数联系起来，并推导出各个傅里叶系数的孔径相关功率界限。其次，我们采用一个实用的多端口网络模型，并设计了三种代表性的可重构像素天线，以验证预测的有效傅里叶阶数和各阶功率约束。然后，我们在两种模型下制定了多用户下行传输的加权和速率最大化问题。利用有界傅里叶系数作为辅助变量，我们开发了一种基于系数界限的惩罚加权最小均方误差算法，该算法将连续波束成形与离散开关状态优化分离。我们进一步提出了一种利用谢尔曼-莫里森恒等式加速离散优化的一比特邻域搜索方法。仿真结果验证了理想模型的物理相关性，并展示了在密集开关天线情况下多用户和速率的提升以及优化运行时间的减少。所提出的模型为PRA支持的通信分析与设计提供了物理基础，而该框架可适应不同的波束成形目标和PRA实现。
英文摘要
This paper establishes a finite-aperture model for pattern-reconfigurable antennas (PRAs) and exploits its aperture-constrained Fourier representation to develop an efficient multiuser beamforming framework. First, we develop an ideal model by representing the complex radiation pattern using a Fourier series. By applying the Jacobi-Anger expansion, we relate the antenna aperture to the effective Fourier order and derive aperture-dependent power bounds for individual Fourier coefficients. Second, we employ a practical multiport network model and design three representative reconfigurable pixel antennas to verify the predicted effective Fourier orders and per-order power constraints. We then formulate weighted sum-rate maximization for multiuser downlink transmission under both models. Using bounded Fourier coefficients as auxiliary variables, we develop a coefficient-bound penalty-based weighted minimum mean-square error algorithm that separates continuous beamforming from discrete switch-state optimization. We further propose a one-bit neighborhood search that exploits the Sherman-Morrison identity to accelerate the discrete optimization. Simulation results validate the physical relevance of the ideal model and demonstrate multiuser sum-rate gains and reduced optimization runtime for densely switched antennas. The proposed model provides a physically grounded basis for PRA-enabled communication analysis and design, while the framework accommodates different beamforming objectives and PRA implementations.
发表机构
- Nanjing University of Science and Technology（南京理工大学）
- City University of Hong Kong（香港城市大学）
机构由 AI 辅助整理，请以论文原文为准。
