用均匀中心对称阵二维酉ESPRIT方法实现闭环形式二维角估计

Closed-Form 2-D Angle Estimation via 2-D Unitary ESPRIT with Uniform Centro-Symmetric Array

本文提出了适用于一类均匀中心对称阵的二维西ESPRIT方法，它是一种闭环形式的高分辨算法，对信号源方位角和仰角估计实现自动配对在算法最后阶段构造一个矩阵，其第i个特征值的实部和虚部分别与第i个信号源相对X轴和Y轴的方向余波一一对应该算法除了初始变换和最后矩阵特征分解外，整个过程都采用高效的实值计算．并推广应用于DFT波束空间，可在较小的空间维数上处理，从而减小计算复杂性最后对算法做了一阶近似渐进性能分析．

A kind of 2-D Unitary ESPRIT method is proposed for use in conjunction with a uniform centro-symmetric array (UCSA). It is a new closed-form high resolution algorithm to provide automatically paired source azimuth and elevation estimates. In the final stage of the algorithm, the real and imaginary parts of the ith eigenvalue of a matrix are one-to-one related to the respective direction cosines of the ith source relative to the x and y axes. Except for the initial transition and the final eigenvalue decomposition of dimension equal to the number of sources, it is efficiently formulated in terms of real-valued computation throughout It can operate in a reduced dimension in DFT beamspace, and reduce computational complexity. The asymptotic performance of the algorithm is presented. Simulation results are presented verifying the efficacy of the method.