二维阻尼／无阻尼谐波参数估计的新方法

A New Method for Estimating Parameters of Two-Dimensional Damped/Undamped Harmonics

本文提出了二维阻尼／无阻尼谐波参数的一种新估计方法。该方法从原始数据中构造出三个ＥＳＰＲＩＴ矩阵束，结合特征分解滤波和整体最小二乘法来求解这些矩阵束的广义特征值，分别得到二维谐波的两组极点估计。这种方法具有较小的运算量且便于采用并行算法实现。仿真结果表明该方法具有很高的估计精度。

A new method is proposed for estimating the parameters of two-dimensional damped/undamped harmonics. This method constructs three ESPRIT matrix pencils from the original data,combines engendecomposition filtering and the total least squares method go reduce the generalized eigenvalue problems of the noisy ESPRIT matrix pencils to the eigenvalue problems of three square matrices,and yields two sets of estimates of pole components and a set of estimates of the products of pole components. Utilizing a simple pairing algorithm, two-dimensional poles are obtained according to these three sets of estimates. The method requires quite small computations and it can be implemented by using a parallel algorithm. Simulations are provided to show the accuracy of this method.