caa a22 4500 467939241 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10444-004-7614-3 doi (NATIONALLICENCE)springer-10.1007/s10444-004-7614-3 A B-spline approach for empirical mode decompositions [Elektronische Daten] [Qiuhui Chen, Norden Huang, Sherman Riemenschneider, Yuesheng Xu] 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. Springer, 2006 B-splines nationallicence nonlinear and nonstationary signals nationallicence empirical mode decompositions nationallicence Hilbert transforms nationallicence Chen Qiuhui Faculty of Mathematics and Computer Science, Hubei University, 430062, Wuhan, P.R. China aut Huang Norden Laboratory for Hydrospheric Process/Oceans and Ice Branch, NASA Goddard Space Flight Center, 20771, Greenbelt, MD, U.S.A. aut Riemenschneider Sherman Department of Mathematics, West Virginia University, 26506, Morgantown, WV, U.S.A. aut Xu Yuesheng Deparment of Mathematics, Syracuse University, Syracuse, NY 13244, U.S.A. and Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080, Beijing, P.R. China aut Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 171-195 1019-7168 24:1-4<171 2006 24 10444 https://doi.org/10.1007/s10444-004-7614-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7614-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chen Qiuhui Faculty of Mathematics and Computer Science, Hubei University, 430062, Wuhan, P.R. China aut NATIONALLICENCE 700 1- Huang Norden Laboratory for Hydrospheric Process/Oceans and Ice Branch, NASA Goddard Space Flight Center, 20771, Greenbelt, MD, U.S.A aut NATIONALLICENCE 700 1- Riemenschneider Sherman Department of Mathematics, West Virginia University, 26506, Morgantown, WV, U.S.A aut NATIONALLICENCE 700 1- Xu Yuesheng Deparment of Mathematics, Syracuse University, Syracuse, NY 13244, U.S.A. and Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080, Beijing, P.R. China aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 171-195 1019-7168 24:1-4<171 2006 24 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer