互质圆形阵列DOA估计方法

doi:10.13229/j.cnki.jdxbgxb20200794

摘要/Abstract

摘要：

针对传统均匀圆形阵列孔径受限的问题，设计了一种互质圆形阵列，并在此基础上，研究了一种基于相位模式激励的二维波达方向估计方法。首先利用两个均匀圆形子阵列进行堆叠形成互质圆形阵列结构。然后，基于相位模式变换算法将元素空间问题转化到波束空间，将互质圆形阵列合成类似于 ULA 的范德蒙结构且中心埃尔米特对称的阵列流型，减小谱峰搜索维度。最后，通过酉变换实现阵列流型的实数化，降低算法复杂度。理论分析和仿真实验表明：在相同条件下，相比于均匀圆形阵列MUSIC算法，所提互质圆形阵列相位模式激励MUSIC算法的运行时间从1.825 s降至0.622 s，阵列孔径增大MN/（M+N-2）倍，具备更高的波达方向估计精度和系统实时性，并对相近源具有较高的估计分辨率。

关键词: DOA估计, 互质圆形阵列, MUSIC算法, 相位模式激励

Abstract:

To solve the problem of limited aperture of traditional uniform circular arrays， a co-prime circular array is designed， and on this basis， a two-dimensional direction of arrival estimation method based on phase mode excitation is studied. First， two uniform circular sub-arrays with a distance between array elements greater than half a wavelength are stacked to form a relatively prime circular array structure. Then， based on the phase mode transformation algorithm， the element space problem is transformed into the beam space. The algorithm combines the co-prime circular array into a Vandermonde structure similar to ULA and the Hermitian center symmetrical array flow pattern， reducing the dimensions of spectral peak searching， realizing array flow pattern through unitary transformation， reducing algorithm complexity. Theoretical analysis and simulation experiments show that under the same conditions， compared with the uniform circular array MUSIC algorithm， the proposed phase mode excitation MUSIC algorithm for the relatively prime circular array reduces the running time from 1.825 s to 0.622 s， increases the array aperture MN/（M+N-2） times， improves the DOA estimation accuracy and the real-time performance of the system， and it has a higher resolution for the estimation of similar sources.

Key words: DOA estimation, coprime circular array, MUSIC algorithm, phase mode excitation

中图分类号:

TN911

李新波,王晓玉,李厚禹,姜良旭,关博,王旺. 互质圆形阵列DOA估计方法[J]. 吉林大学学报(工学版), 2022, 52(1): 204-210.

Xin-bo LI,Xiao-yu WANG,Hou-yu LI,Liang-xu JIANG,Bo GUAN,Wang WANG. Coprime circular array DOA estimation method[J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(1): 204-210.

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