正交化经验模式分解方法

Orthogonal Empirical Mode Decomposition

针对Hilbert-Huang变换中经验模式分解所得固有模式函数存在的不完全正交问题,基于Gram-Schmidt正交化方法,提出了一种新的正交化处理方法,可得到完全正交的固有模式函数,从而完善了Hilbert-Huang变换方法.通过典型时程曲线的数值模拟的分解结果表明了这一方法的正确性,实际地震波数据的分解显示了这一方法的良好应用前景.

For the problem that the intrinsic mode functions （IMF） decomposed by the empirical mode decomposition （EMD） in Hilbert-Huang transform are not orthogonal in mathematical rigor, a new method based on the Gram-Schmidt method is proposed and the complete orthogonal intrinsic mode functions are attained. As a result, Hilbert-Huang transform is improved. The method is validated through the decomposition of a typical time history, and the application is proved to be opromising by the decomposition of a real earthquake record.