The performance of classical two dimensional (2-D) Direction-Of-Arrival (DOA) estimationrnalgorithms degrade substantially in the presence of coherent environment. A new DOA matrix method—rnDOA matrix method based on data matrix reconstruction (DMR-DOAM) is proposed for 2-D DOA estimation in the coherent source environment. The proposed algorithm reconstructs two Toeplitz equivalent covariance matrices by using cross-correlation information among receiving data from arrays. Decorrelation and 2-D DOA estimation can be realized via the eigen-decomposition of the new DOA matrix. The algorithm can retain the advantages of the traditional DOA matrix method, such as automatical parameter alignment and no need of 2-D search spectrum peak. The equivalent covariance matrices only use the middle column of classical covariance matrices, so the calculation amount is reduced, and the algorithm can be realized easily. Furthermore, the paper analyzes the estimation performance and influencing factors of the proposed algorithm. Theoretical analyses and simulation results both show that the proposed algorithm is effective.%传统的二维波达方向估计算法在相干信源背景下性能会急剧下降甚至失效.针对相干信源的二维波达方向估计问题,提出了一种新的波达方向矩阵法——基于数据矩阵重构的波达方向矩阵法(DMR-DOAM).该算法利用阵列接收数据之间的互相关信息,构造两个Toeplitz矩阵形式的等效协方差矩阵,通过对新的波达方向矩阵一次特征值分解,即可实现解相干和二维波达方向估计.该算法保留了原波达方向矩阵法无需二维谱峰搜索与参数配对的优点,且由于构造的等效协方差矩阵只使用了原协方差矩阵的中间列元素,因此计算量小,实现简单.理论分析与数值仿真均验证了算法的有效性.
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