单比特大规模MIMO系统的非相干分布源角度参数估计方法

刘亚鹏; 高洪元; 张志伟; 马静雅

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

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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

学术论文 | 更新时间：2025-02-13

- 单比特大规模MIMO系统的非相干分布源角度参数估计方法
- Angular parameter estimation method for incoherently distributed sources in one-bit massive MIMO system
- 通信学报 2025年46卷第1期页码：1-12
- 作者机构：
  
  哈尔滨工程大学信息与通信工程学院，黑龙江哈尔滨 150001
- 作者简介：
  
  [ "刘亚鹏（1999- ），男，河北邯郸人，哈尔滨工程大学博士生，主要研究方向为阵列信号处理、最优化理论与应用。" ]
  [ "高洪元（1977- ），男，黑龙江木兰人，博士，哈尔滨工程大学副教授、博士生导师，主要研究方向为信号处理、无线通信与网络、人工智能理论及其应用。" ]
  [ "张志伟（1996- ），男，安徽淮北人，哈尔滨工程大学博士生，主要研究方向为智能计算、盲源分离和阵列信号处理。" ]
  [ "马静雅（1993- ），女，黑龙江哈尔滨人，哈尔滨工程大学博士生，主要研究方向为异构网络资源分配、智能计算、D2D通信。" ]
- 基金信息：
  
  国家自然科学基金资助项目(62372131);黑龙江省自然科学基金资助项目;The Natural Science Foundation of Heilongjiang Province(LH2020F017)
- DOI：10.11959/j.issn.1000-436x.2025007
  中图分类号： TN911.7
- 收稿日期：2024-05-10，
  
  修回日期：2024-11-11，
  
  纸质出版日期：2025-01-25
- 稿件说明：
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刘亚鹏,高洪元,张志伟等.单比特大规模MIMO系统的非相干分布源角度参数估计方法[J].通信学报,2025,46(01):1-12.

LIU Yapeng,GAO Hongyuan,ZHANG Zhiwei,et al.Angular parameter estimation method for incoherently distributed sources in one-bit massive MIMO system[J].Journal on Communications,2025,46(01):1-12.
刘亚鹏,高洪元,张志伟等.单比特大规模MIMO系统的非相干分布源角度参数估计方法[J].通信学报,2025,46(01):1-12. DOI： 10.11959/j.issn.1000-436x.2025007.

LIU Yapeng,GAO Hongyuan,ZHANG Zhiwei,et al.Angular parameter estimation method for incoherently distributed sources in one-bit massive MIMO system[J].Journal on Communications,2025,46(01):1-12. DOI： 10.11959/j.issn.1000-436x.2025007.

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。

Abstract

To address the challenges of high cost and power consumption in massive MIMO systems and the performance degradation of point-source-based direction of arrival estimation methods in densely multipath scenarios

an angular 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 accurate estimation of two-dimensional direction of arrival. Subsequently

the noise-free signal covariance matrix was reconstructed 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 snapshots

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.

关键词

Keywords

references

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