基于矩阵束的二维谐波恢复

Two-Dimensional Harmonic Retrieval By Matrix Pencil Method

本文在研究了二维谐波信号相关矩阵后，提出了一种称之为“矩阵束的二维谐波恢复（ＭＰ２Ｄ）”算法，该算法既不需要求解二维特征多项式的根，也不需要在二维频率空间搜索谱峰，算法具有高效性。仿真实验表明，该算法在白噪声条件下对二维谐波频率估计具有高的精度和强的抗干扰能力。

After studying the correlation matrix of 2D harmonic signal, we present.a new algorithm so called 'matrix pencil algorithm for 2D harmonic retrieval problem' (MP2D). This algorithm is op efficient in computation because it do not solve the roots of 2D polynomial or search the peak of 2D frequency space. The simulation experiment illustrates that algorithm has a high precision for 2D frequency estimation and low sensitivity to noise.