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单比特大规模MIMO系统的非相干分布源角度参数估计方法OA北大核心

Angular parameter estimation method for incoherently distributed sources in one-bit massive MIMO system

中文摘要英文摘要

针对大规模MIMO系统存在的高成本、高功耗问题以及在多径密集场景中基于点目标模型的波达方向估计方法性能恶化的难题,提出一种单比特大规模MIMO系统的非相干分布源角度参数估计方法.首先,利用反正弦定律恢复归一化无量化协方差矩阵;其次,构建核范数最小化目标函数以恢复低秩的空间谱矩阵,从而实现二维DOA的准确估计;然后,通过一阶泰勒展开重构无噪信号协方差矩阵,实现对角度扩展的精确估计;最后,还推导了单比特ID源角度参数估计的克拉美罗界,为性能分析提供理论依据.仿真结果表明,在信噪比为10 dB、快拍数为100、阵元数为36的条件下,该方法的DOA和角度扩展估计精度分别达到0.91°和1.12°.与已有单比特方法相比,该方法有明显的性能优势,同时计算时间适中,在估计精度和计算效率之间取得了良好的平衡,有利于进一步推动在单比特大规模MIMO系统中的工程应用进程.

To address the challenges of high cost and power consumption in massive MIMO systems and the perfor-mance degradation of point-source-based direction of arrival estimation methods in densely multipath scenarios,an angu-lar parameter estimation method for incoherently distributed sources in one-bit massive MIMO system was proposed.Firstly,the normalized unquantized covariance matrix was recovered using the arcsine law.Secondly,a nuclear norm minimization objective function was constructed to recovery the low-rank spatial spectrum matrix,thereby achieving ac-curate estimation of two-dimensional direction of arrival.Subsequently,the noise-free signal covariance matrix was re-constructed using the first-order Taylor expansion to achieve accurate angular spread estimation.Finally,the Cramér-Rao bound for one-bit incoherently distributed source angle parameter estimation was derived,providing a theoretical basis for performance analysis.Simulation results demonstrate that under conditions of a 10 dB signal-to-noise ratio,100 snap-shots,and 36 array elements,the proposed method achieves direction of arrival and angular spread estimation accuracies of 0.91° and 1.12° respectively,which represents a significant performance improvement over existing one-bit methods.Furthermore,the computational time is moderate,achieving a commendable balance between estimation accuracy and computational efficiency,thereby enhancing its potential for practical implementation in one-bit massive MIMO systems.

刘亚鹏;高洪元;张志伟;马静雅

哈尔滨工程大学信息与通信工程学院,黑龙江 哈尔滨 150001哈尔滨工程大学信息与通信工程学院,黑龙江 哈尔滨 150001哈尔滨工程大学信息与通信工程学院,黑龙江 哈尔滨 150001哈尔滨工程大学信息与通信工程学院,黑龙江 哈尔滨 150001

电子信息工程

单比特大规模MIMO非相干分布源核范数最小化角度参数估计克拉美罗界

one-bit massive MIMOincoherently distributed sourcenuclear norm minimizationangular parameter esti-mationCramér-Rao bound

《通信学报》 2025 (1)

1-12,12

国家自然科学基金资助项目(No.62372131)黑龙江省自然科学基金资助项目(No.LH2020F017) The National Natural Science Foundation of China(No.62372131),The Natural Science Foundation of Hei-longjiang Province(No.LH2020F017)

10.11959/j.issn.1000-436x.2025007

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