Capacity Lower Bound for Double-Sided Correlated Extremely Large-Scale Array Systems

IF 4.4 3区计算机科学 Q2 TELECOMMUNICATIONS

IEEE Communications Letters Pub Date : 2025-08-19 DOI:10.1109/LCOMM.2025.3600538

Wendi Zhang;Zhuxian Lian;Yajun Wang;Zhangfeng Ma;Yinjie Su;Bibo Zhang;Zhibin Xie

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引用次数: 0

Abstract

To explore the impact of spatial non-stationarity on the performance of extra-large scale multiple-input multiple-output (XL-MIMO) communication systems, this letter proposes a new double-sided correlated channel model based on the visibility region (VR). Based on the proposed model, the corresponding downlink ergodic capacity is investigated. We find that when the VR size remains constant, the ergodic capacity decreases as the number of transmit antennas increases. Due to the closed-form expressions for ergodic capacity being related to Laguerre polynomials, which requires numerical integration for evaluation, the closed-form lower bounds on ergodic capacity are investigated. In XL-MIMO systems, the number of transmit antennas is significantly greater than the rank of the XL-MIMO channel, and we use the theorem of principal minor determinant expansion and Binet-Cauchy theorem to obtain the closed-form lower bound on the ergodic capacity. Compared to the Monte-Carlo simulation results, the proposed lower bound is tight and suitable for application in XL-MIMO communication systems.

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双面相关超大阵列系统的容量下界

为了探讨空间非平稳性对超大规模多输入多输出（XL-MIMO）通信系统性能的影响，本文提出了一种新的基于可见区域（VR）的双面相关信道模型。在此基础上，研究了相应的下行遍历容量。我们发现，当虚拟现实尺寸一定时，遍历容量随着发射天线数量的增加而减小。由于遍历容量的闭型表达式与拉盖尔多项式有关，需要数值积分计算，因此研究了遍历容量的闭型下界。在xml - mimo系统中，发射天线的数量明显大于信道的秩，利用主次行列式展开定理和Binet-Cauchy定理，得到了遍历容量的封闭下界。与蒙特卡罗仿真结果相比，所提出的下界是严密的，适合于xml - mimo通信系统的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Communications Letters 工程技术-电信学

CiteScore

8.10

自引率

7.30%

发文量

590

审稿时长

2.8 months

期刊介绍： The IEEE Communications Letters publishes short papers in a rapid publication cycle on advances in the state-of-the-art of communication over different media and channels including wire, underground, waveguide, optical fiber, and storage channels. Both theoretical contributions (including new techniques, concepts, and analyses) and practical contributions (including system experiments and prototypes, and new applications) are encouraged. This journal focuses on the physical layer and the link layer of communication systems.