L型互质阵的低复杂度无网格二维DOA估计方法

王绪虎; 冯洪浩; 郑蕾; 韩晶; 刘永伟; 孙高利; 陈建军; 王辛杰

doi:10.12382/bgxb.2024.1053

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L型互质阵的低复杂度无网格二维DOA估计方法

更新时间：2025-10-21

- L型互质阵的低复杂度无网格二维DOA估计方法
- Low-complexity Gridless Two-dimensional DOA Estimation Method for L-shaped Coprime Array
- 兵工学报 2025年46卷第9期页码：241053
- 作者机构：
  
  1. 青岛理工大学信息与控制工程学院, 山东青岛 266520
  2. 西北工业大学航海学院, 陕西西安 710072
  3. 哈尔滨工程大学水声工程学院, 黑龙江哈尔滨 150001
- 作者简介：
  
  * wangxuhu@qut.edu.cn
- 基金信息：
  
  国家自然科学基金项目(12374422);山东省自然科学基金项目(ZR2021QF113);山东省自然科学基金项目(ZR2021MF081);山东省自然科学基金项目(ZR2022MF273);山东省高等学校优秀青年创新团队发展计划项目(2022KJ162)
- DOI：10.12382/bgxb.2024.1053
  中图分类号：
- 收稿：2024-11-19，
  
  网络出版：2025-09-24，
  
  纸质出版：2025-09-30
- 稿件说明：
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王绪虎, 冯洪浩, 郑蕾, 等. L型互质阵的低复杂度无网格二维DOA估计方法[J]. 兵工学报, 2025,46(9):241053.

Xuhu WANG, Honghao FENG, Lei ZHENG, et al. Low-complexity Gridless Two-dimensional DOA Estimation Method for L-shaped Coprime Array[J]. Acta Armamentarii, 2025, 46(9): 241053.
王绪虎, 冯洪浩, 郑蕾, 等. L型互质阵的低复杂度无网格二维DOA估计方法[J]. 兵工学报, 2025,46(9):241053. DOI： 10.12382/bgxb.2024.1053.

Xuhu WANG, Honghao FENG, Lei ZHENG, et al. Low-complexity Gridless Two-dimensional DOA Estimation Method for L-shaped Coprime Array[J]. Acta Armamentarii, 2025, 46(9): 241053. DOI： 10.12382/bgxb.2024.1053.

摘要

为降低L型互质阵的无网格类矩阵重构方法的计算复杂度

提高低信噪比下的角度匹配成功概率

提出一种L型互质阵的低复杂度无网格二维波达方向(Direction of Arrival

DOA)估计方法。利用共轭增广方法

通过求解阵元间的互相关函数

实现

轴和

轴互质阵的阵列虚拟扩展;依据矩阵形式的原子范数思想

通过解耦原子范数最小化方法

实现阵列插值;通过求根多重信号分类方法

得到各轴夹角的估计值;依据信号子空间和阵列流型矩阵的空间一致性

通过求解代价函数

实现角度匹配。为进一步降低计算复杂度

将矩阵形式的原子范数与酉变换相结合

通过实值解耦原子范数最小化方法

实现酉阵列插值。研究结果表明:所提方法一方面提高了DOA估计精度

降低了计算复杂度

提高了角度匹配成功概率;另一方面则通过牺牲部分DOA估计精度和阵列自由度

进一步降低了计算复杂度;通过仿真实验验证了该方法的可行性和优势。

Abstract

To reduce the computational complexity of the gridless matrix reconstruction method for L-shaped coprime array and improve the success probability of angle matching under low signal-to-noise ratio

a low complexity gridless two-dimensional direction-of-arrival (DOA) estimation method for L-shaped coprime array is proposed.The proposed method utilizes the conjugate augmentation method to realize the array virtual extension of

-axis and

-axis

coprime arrays by solving the cross-correlation functions between array elements.According to the idea of matrix-form atomic norm

the array interpolation is realized by the decoupled atomic norm minimization method; The estimated value of the angle between axes is obtained by the root multiple signal classification (MUSIC) method.According to the spatial consistency between the signal subspace and the array manifold matrix

the angle matching is realized by solving the cost function.To further reduce the computational complexity

the matrix-form atomic norm is combined with the unitary transformation

and the unitary array interpolation is realized by the real-valued decoupled atomic norm minimization method.The results show that

on the one hand

the proposed method improves the accuracy of DOA estimation

reduces the computational complexity

and enhances the probability of successful angle matching.On the other hand

the computational complexity is further reduced by sacrificing part of the DOA estimation accuracy and array degrees of freedom.The feasibility and advantages of the proposed method are verified through simulation experiments.

关键词

Keywords

references

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