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  • 刘骐玮,马彦恒,李 根,等.阵列误差下的波达方向估计[J].电讯技术,2019,59(6): - .    [点击复制]
  • LIU Qiwei,MA Yanheng,LI Gen,et al.DOA estimation under array error[J].,2019,59(6): - .   [点击复制]
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阵列误差下的波达方向估计
刘骐玮,马彦恒,李根,董健
0
(1.解放军32033部队,海口 571100;2.陆军工程大学石家庄校区 无人机工程系,石家庄 050003)
摘要:
由于阵列误差的存在会降低波达角的估计精度,重点研究了迭代求解混合范数约束下的稀疏谱以提高估计精度。考虑一维线性阵列,首先建立了统一的优化函数,高精度地估计信号子空间;然后推导了误差矩阵向量化的方法,简化求解耦合误差和幅相误差的过程;最后推导了Khatri-Rao积下的扩展正交导向矢量,根据优化函数迭代求解空间谱估计。对比不同方法估计参数的均方根误差表明,通过设计优化函数迭代求解阵列误差、波达角等参数的精度较之现有方法有一定的提高。
关键词:  波达方向估计;阵列误差  空域稀疏谱;稀疏重构;子空间估计
DOI:
基金项目:国防预研基金(9140A19031015JB34001)
DOA estimation under array error
LIU Qiwei,MA Yanheng,LI Gen,DONG Jian
(1.Unit 32033 of PLA, Haikou 571100,China;2.Department of Unmanned Aerial Vehicle Engineering,Army Engineering University Shijiazhuang Campus,Shijiazhuang 050003,China)
Abstract:
The accuracy of the estimation of the direction of arrival(DOA) is reduced due to the presence of array errors.This paper focuses on iteratively solving sparse spectrum under mixed norm constraints to improve the accuracy of estimation.Firstly,it considers the dimensional linear array and establishes the unified optimization function to estimate the signal subspace with high precision.Then,it derives the method of vectorization of error matrix to simplify the process of solving coupling error and amplitude-phase error.Finally,it deduces the extended orthogonal steering vector under the Khatri-Rao product,and solves the estimation of spatial spectrum iteratively according to the unified optimization function.Comparison of the root mean square error(RMSE) of the parameters among different methods shows that the accuracy of the parameters such as array error and angle of arrival is improved by the unified optimization function,which is better than that of the existing methods.
Key words:  DOA estimation  array error  spatial sparse spectrum  sparse reconstruction  estimation of subspace
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