阮怀林,,
吴晨曦,
钟华
国防科技大学电子对抗学院 合肥 230037
基金项目:国家自然科学基金(61171170)，安徽省自然科学基金(1408085QF115)
详细信息
作者简介:孙兵：男，1991年生，博士生，研究方向为空间信息处理、雷达及雷达对抗理论与技术
阮怀林：男，1964年生，教授，博士生导师，主要研究方向为空间信息处理、雷达及雷达对抗理论与技术、压缩感知理论
吴晨曦：男，1988年生，讲师，博士生，研究方向为阵列信号处理、稀疏重构技术
钟华：男，1991年生，博士生，研究方向为阵列信号处理
通讯作者:阮怀林 13721052122@163.com
中图分类号:TN911.23计量
文章访问数:1820
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被引次数:0
出版历程
收稿日期:2018-11-14
修回日期:2019-03-14
网络出版日期:2019-04-13
刊出日期:2019-08-01
Direction of Arrival Estimation with Coprime Array Based on Toeplitz Covariance Matrix Reconstruction
Bing SUN,Huailin RUAN,,
Chenxi WU,
Hua ZHONG
College of Electronic Engineering, National University of Defense Technology, Hefei 230037, China
Funds:The National Natural Science Foundation of China (61171170), The Anhui Province Natural Science Foundation (1408085QF115)
摘要
摘要:针对基于互质阵列的欠定DOA估计方法对于虚拟阵元非连续部分利用率不高的问题，该文提出一种基于Toeplitz协方差矩阵重构的DOA估计方法。首先，从互质阵列差联合阵的角度分析虚拟阵元分布特性，结合其与协方差矩阵中各元素得到的波程差存在对应关系，将协方差矩阵进行扩展得到一个数据缺失的高维协方差矩阵；然后，根据矩阵填充理论，用迹范数代替秩范数进行松弛，对缺失元素进行填充；最后，利用现有root-MUSIC方法进行DOA估计。理论分析和仿真结果表明，该方法提升了虚拟阵元的利用率，从而增加了虚拟孔径和可估计信号数，同时无需对角度域进行离散化处理，有效消除了模型失配的影响，并且避免了正则化参数选取问题，提高了估计精度和分辨率。
关键词:波达方向估计/
互质阵列/
差联合阵列/
矩阵重构
Abstract:In order to improve the utilization of non-contiguous virtual array elements in the underdetermined DOA estimation of the coprime array, a DOA estimation method based on Toeplitz covariance matrix reconstruction is proposed. First, the virtual array element distribution characteristics of the matrix are analyzed from the perspective of the difference coarray. Additionally, according to the correspondence between the difference coarray and the wave path difference, the covariance matrix is extended to a Toeplitz array covariance matrix, of which some elements are zero. Then, the Toeplitz matrix is recovered to the full covariance matrix according to the low rank matrix completion theory. Finally, the root-MUSIC method is employed for the DOA estimation. Theoretical analysis and simulation results show that this method can increase the number of the resolvable signals by increasing the number of virtual array elements, eliminate the effect of the off-grid effect without discretization of the angle domain, and avoid regularization parameter selection. Therefore, the estimation accuracy and resolution are improved.
Key words:Direction Of Arrival (DOA)/
Coprime array/
Difference coarray/
Matrix reconstruction
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