互质阵中基于降维求根的波达角估计算法

李建峰; 沈明威; 蒋德富

doi:10.11999/JEIT171087

互质阵中基于降维求根的波达角估计算法

doi: 10.11999/JEIT171087

李建峰^{*沈明威蒋德富},
沈明威,
蒋德富

基金项目:

国家自然科学基金(61601167, 61771182), 中央高校基本科研业务费专项资金资助(2018B15914)

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出版历程
- 收稿日期: 2017-11-20
- 修回日期: 2018-04-18
- 刊出日期: 2018-08-19

Reduced-dimensional Root Finding Based Direction of Arrival Estimation for Coprime Array

LI Jianfeng^{*沈明威蒋德富},
SHEN Mingwei,
JIANG Defu

Funds:

The National Natural Science Foundation of China (61601167, 61771182), The Fundamental Research Funds for the Central Universities (2018B15914)

摘要

摘要: 该文提出互质阵中基于降维求根的波达角(DOA)估计算法。互质阵包含两个稀疏均匀线性子阵，拥有互质的阵元间距和阵元数目。该算法基于子阵间的互协方差，利用较长子阵中的旋转不变性扩展较短子阵的虚拟孔径。然后通过矩阵分块构造噪声子空间，并将来自两个子阵的2维参数估计问题降维为1维求根问题，获得自动配对的2维模糊参数估计。最后由这2维模糊参数可恢复出两组参数，根据互质性从两组参数估计的交集中可以获得无模糊的高分辨率DOA估计。相比互质阵中的联合多重信号分类(MUSIC)算法和联合旋转不变技术(ESPRIT)算法，该算法无需特征分解，复杂度低，但可获得更精确的DOA估计，处理更多的信源，并且对色噪声有更强的鲁棒性。多个仿真结果均验证了所提算法的有效性。
- 波达角估计 /
- 互质阵 /
- 降维求根 /
- 孔径扩展
Abstract: A Direction of Arrival (DOA) estimation method based on reduced-dimensional polynomial root finding technique is proposed for coprime array. Coprime array has two uniform linear subarrays with coprime inter-element spacing and antenna number. Based on the cross covariance matrix of the subarrays, the proposed method exploits the rotational invariance within the longer subarray to extend the aperture of the shorter one. After constructing the noise subspace via matrix partition and reducing the two dimensional parameter estimation problem into one dimensional root finding, automatically paired two dimensional parameters can be estimated. Finally, unambiguous DOA is determined from the intersections of the two groups of estimations, which are generated from the previously obtained two dimensional parameters. In contrast to combined MUltiple SIgnal Classification (MUSIC) and Estimation of Signal Parameters via Rotational Invariance Technique (ESPRIT) for coprime array, the proposed algorithm achieves improved DOA estimation results and increased identifiable source number with reduced computation complexity. Furthermore, it is robust to spatial color noise. Multiple simulation results verify the effectiveness of the proposed approach.
- DOA estimation /
- Coprime array /
- Reduced-dimensional root finding /
- Aperture extension

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参考文献(26)

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