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Low-complexity Gridless Two-dimensional DOA Estimation Method for L-shaped Coprime Array
- Acta Armamentarii Vol. 46, Issue 9, Pages: 241053(2025)
- 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：
- 基金信息：
DOI：10.12382/bgxb.2024.1053
CLC：Received：19 November 2024，
Published Online：24 September 2025，
Published：30 September 2025
- 稿件说明：
移动端阅览
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.
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
x
轴和
z
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
x
-axis and
z
-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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