平行互质阵的虚拟插值酉变换二维DOA估计方法

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (11) : 163-171.

振动理论与交叉研究

平行互质阵的虚拟插值酉变换二维DOA估计方法

王绪虎*，孙高利，冯洪浩，贺劲松

作者信息 +

Virtual interpolation unitary transformation 2D DOA estimation method for parallel coprime arrays

WANG Xuhu*, SUN Gaoli, FENG Honghao, HE Jinsong

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文章历史 +

摘要

针对现有二维波达方向(direction of arrival，DOA)估计方法对阵列接收信息利用不充分导致估计性能下降的问题，提出了一种平行互质阵列下对虚拟阵列插值的二维DOA估计方法。该方法通过对平行互质阵列扩展后的虚拟阵列进行插值，利用内插虚拟阵列的协方差矩阵与虚拟测量值之间的关系，提出一个关于等效虚拟测量向量的最小化问题，通过凸优化工具箱重构插值后的虚拟阵列协方差矩阵，结合酉变换和总体最小二乘方法进行DOA估计。仿真结果和湖上试验表明，该方法充分利用了非匀虚拟阵列中的所有虚拟阵元，提高了自由度和估计精度，具有有效性。

Abstract

Aiming at the problem that existing two-dimensional direction of arrival (DOA) estimation methods do not fully utilize the array received information, which leads to degradation of estimation performance, a two-dimensional DOA estimation method for virtual array interpolation under parallel coprime arrays is proposed. This method interpolates the extended virtual array of parallel coprime array. Then, using the relationship between the covariance matrix of the interpolated virtual array and the virtual measurement, a problem of minimizing the equivalent virtual measurement vector is proposed. Finally, the interpolated virtual array covariance matrix is reconstructed with convex optimization toolbox, and the DOA estimation is carried out with combining unitary transformation and total least squares method. Simulation results and lake experiments show that the method makes full use of all the virtual elements in the non-uniform virtual array, improves the degree of freedom and estimation accuracy, and is effective.

导出引用

王绪虎, 孙高利, 冯洪浩, 贺劲松. 平行互质阵的虚拟插值酉变换二维DOA估计方法[J]. 振动与冲击, 2025, 44(11): 163-171

WANG Xuhu, SUN Gaoli, FENG Honghao, HE Jinsong. Virtual interpolation unitary transformation 2D DOA estimation method for parallel coprime arrays[J]. Journal of Vibration and Shock, 2025, 44(11): 163-171

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