发表机构
National Mobile Communications Research Laboratory, Frontiers Science Center for Mobile Information Communication and Security, Southeast University; Purple Mountain Laboratories（东南大学; 紫金山实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对定位辅助通信系统，推导了二维和三维场景下含定位误差的瞬时与遍历容量闭式近似，并给出最大化渐近遍历容量的最优联合高斯波束模式，为波束设计提供理论依据。
AI 中文摘要
定位辅助波束成形是现代无线通信中大规模多输入多输出的一项新型使能技术，因为它无需显式信道状态信息即可提供可靠的波束导向。然而，在定位误差下的信道容量分析在数学上仍然难以处理，这限制了性能表征和波束成形设计。在这项工作中，我们针对二维和三维定位辅助波束成形系统，推导了瞬时和遍历信道容量逼近的闭式表达式。基于这些新表达式，我们提供了最大化渐近遍历容量的闭式最优联合高斯波束模式。数值结果验证了理论容量表达式和最优波束模式。所推导的表达式能够实现高效波束设计以最大化信道容量，并为定位辅助波束成形设计提供了理论基础。
英文摘要
Positioning-assisted beamforming is a novel enabling technology for massive multiple-input multiple-output in modern wireless communications, as it provides reliable beam steering without requiring explicit channel state information. However, the channel capacity analysis under positioning error remains mathematically intractable, which limits both performance characterization and beamforming design. In this work, we derive instantaneous and ergodic channel capacity approximations in closed forms for both two-dimensional and three-dimensional positioning-assisted beamforming systems. Based on the new expressions, we provide closed-form optimal joint Gaussian beam pattern that maximizes the asymptotic ergodic capacity. Numerical results verify the theoretical capacity expressions and the optimal beam pattern. The derived expressions enable efficient beam design to maximize channel capacity and provide a theoretical basis for positioning-assisted beamforming design.
