A B-spline approach for empirical mode decompositions
文献类型:期刊论文
作者 | Chen, QH; Huang, N; Riemenschneider, S; Xu, YS |
刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
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出版日期 | 2006 |
卷号 | 24期号:1-4页码:171-195 |
关键词 | B-splines nonlinear and nonstationary signals empirical mode decompositions Hilbert transforms |
ISSN号 | 1019-7168 |
DOI | 10.1007/s10444-004-7614-3 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000236833200010 |
出版者 | SPRINGER |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2653] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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