arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2605.06930eess.SP
收藏

同态方向波束成形与模拟真时间延迟阵列

Homomorphic Directional Beamforming with Analog True Time Delay Arrays

University of California, Los Angeles(加州大学洛杉矶分校)

Ibrahim Pehlivan, Danijela Cabric

AI总结:

本文提出基于真时间延迟阵列配置矩阵与波束图之间的同态关系的新型分裂波束图生成算法,通过低内存和低计算成本实现均匀的波束成形增益,提升多用户设备的公平功率分配。

摘要:

近年来,真时间延迟(TTD)阵列,也称为联合相位-时间阵列(JPTA),已被研究用于低成本的频率依赖波束成形能力,以实现各种应用,包括波束扭曲校正、快速波束训练和通过频率带到方向映射服务于多个用户设备(UE)的分裂波束图。已经提出了几种启发式和基于优化的解决方案来确定TTD阵列参数设置。然而,由于计算密集型优化过程、极大规模内存查找表需求或波束扭曲效应的退化,这些方法存在实际限制。本文提出了一种基于观察到的TTD阵列配置矩阵与相应波束图之间的同态关系的新型分裂波束图生成算法。首先,我们严格分析波束图合成过程并证明观察到的同态关系和数学结构。然后,我们提出同态方向波束成形(HDB)算法,通过利用一个生成波束图字典来近似所需的分裂波束图,该字典的大小比现有方法低多个数量级,同时不忽略波束扭曲。通过广泛的仿真,我们证明所提出算法可以提供低内存和低计算成本的实用实现。此外,HDB设计在不同子带中为不同用户设备提供接近均匀的波束成形增益,实现功率分配的公平性。

英文摘要:

Recently, true-time-delay (TTD) arrays, also referred to as joint phase-time arrays (JPTA), have been investigated for low-cost frequency-dependent beamforming capabilities to enable various applications, including beam-squint correction, fast beam training, and serving multiple user equipment (UE)s by frequency band to direction mapping, termed as split beampatterns. Several heuristics and optimization-based solutions have been proposed to determine TTD array parameters settings. However, they have practical limitations due to either computationally demanding optimization procedures, requirements for extremely large memory look-up tables, or degradations due to the beam-squint effect. In this article, we propose a novel split-beampattern generation algorithm based on the observed homomorphism between TTD array configuration matrices and corresponding beampatterns. First, we rigorously analyze the beampattern synthesis process and demonstrate the observed homomorphism and mathematical structure. Then, we propose the Homomorphic Directional Beamforming (HDB) algorithm to approximate the desired split beampatterns by utilizing a generator beampattern dictionary that requires a dictionary size orders of magnitude lower than existing approaches without ignoring the beam squint. With extensive simulations, we show that the proposed algorithm can provide a practical implementation with low memory and low computational cost requirements. In addition, HDB design provides close to uniform beamforming gains among UEs in different subbands, enabling fairness in power allocation.

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。

↑