正交化经验模式分解方法.pdfVIP

35 3 ( ) Vol. 35 No. 3 2007 3 JOURNAL OF TONGJI UNIVERSITY( NATURAL SCIENCE) Mar. 2007 楼梦麟,黄天立 (, 200092) : ilbert- uang ,Gram-Schmidt ,, , ilbert- uang . , . : ; ; ; ; ilbert- uang : P 315.96; TU 311.3 : A : 0253- 374X(2007) 03- 0293- 06 Ort hogonal Empirical Mode Decomposition L O U Mengl in, H UA N G Tianli (State Key Laboratory for Disaster Reduction in CivilEngineering, Tongji University,Shanghai 200092, China) Abstract: For theproblem that the intrinsicmode functions (IMF) decomposed by theempirical mode decomposition (EMD) in ilbert- uang 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, ilbert- uang 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 areal earthquake record. Key words:earthquake recording; orthogonality; empirical mode decomposition; intrinsic mode func- tion; ilbert- uang transform ilbert- uang ( ilbert- uang transform, . , T) ( NASA) (Dr.Norden E. uang) 1998 . [ 3] , ( empirical mode de- Zhang T composition, EMD) ilbert , , , T ( intrinsic mode function, IMF) , . Yang [4] ilbert , T , ilbert [ 1- 2] .EMD , ( , ) ( ) : 2005- 06- 20 : : ( 1947- ) , , , , .E-mail:lml@ mail.tongji.edu.cn ( )