A B-spline approach for empirical mode decompositions

doi:10.1007/s10444-004-7614-3

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	A B-spline approach for empirical mode decompositions
	Chen, QH ; Huang, N ; Riemenschneider, S ; Xu, YS
	2006
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	24 期号:1-4 页码:171-195
摘要	We propose an alternative B-spline approach for empirical mode decompositions for nonlinear and nonstationary signals. Motivated by this new approach, we derive recursive formulas of the Hilbert transform of B-splines and discuss Euler splines as spline intrinsic mode functions in the decomposition. We also develop the Bedrosian identity for signals having vanishing moments. We present numerical implementations of the B-spline algorithm for an earthquake signal and compare the numerical performance of this approach with that given by the standard empirical mode decomposition. Finally, we discuss several open mathematical problems related to the empirical mode decomposition.
关键词	B-splines nonlinear and nonstationary signals empirical mode decompositions Hilbert transforms
DOI	10.1007/s10444-004-7614-3
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000236833200010
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2654
专题	中国科学院数学与系统科学研究院
作者单位	1.Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China 2.NASA, Goddard Space Flight Ctr, Lab Hydrospher Proc, Oceans & Ice Branch, Greenbelt, MD 20771 USA 3.W Virginia Univ, Dept Math, Morgantown, WV 26506 USA 4.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 5.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, QH,Huang, N,Riemenschneider, S,et al. A B-spline approach for empirical mode decompositions[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2006,24(1-4):171-195.
APA	Chen, QH,Huang, N,Riemenschneider, S,&Xu, YS.(2006).A B-spline approach for empirical mode decompositions.ADVANCES IN COMPUTATIONAL MATHEMATICS,24(1-4),171-195.
MLA	Chen, QH,et al."A B-spline approach for empirical mode decompositions".ADVANCES IN COMPUTATIONAL MATHEMATICS 24.1-4(2006):171-195.