二维ESPRIT算法参数的快速配对

Fast parameter matching for 2-D ESPRIT algorithm

针对二维ESPRIT算法的参数估计问题,为了简化算法的复杂度,提高参数配对的速度,提出了一种新的二维ESPRIT参数配对方法.该方法利用矩阵、矩阵的特征值及特征值对应的特征向量三者之间的关系,只需对包含信号到达角信息的2个矩阵中的1个进行1次特征值分解以及简单的除法运算就可以实现参数的自动配对,无需经过多次矩阵变换.在保证二维ESPRIT算法参数估计性能的前提下,该方法简化了参数的配对过程.计算机仿真验证了该方法的有效性.

A method of parameter matching is proposed for the ESPRIT algorithm, which is used to estimate 2-D direction-of-arrival （DOA）. This simplifies the complexity of the algorithm and improves the parameter matching rate. Parameter matching is automatically achieved by only one eigenvalue decomposition for one of the two matrixes containing the information of DOA signals. It is based on the relationships of the matrix, its eigenvalues, and corresponding eigenvectors, and this process is followed by a simple division operation. No repetitive matrix transforms are required. This method can simplify the process of parameter matching without affecting the parameter performance of a 2 D ESPRIT algorithm. A computer simulation verified the effectiveness of the method.