TY - JOUR
T1 - A B-spline approach for empirical mode decompositions
AU - Chen, Qiuhui
AU - Huang, Norden
AU - Riemenschneider, Sherman
AU - Xu, Yuesheng
PY - 2006/1
Y1 - 2006/1
N2 - 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.
AB - 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.
KW - B-splines
KW - Empirical mode decompositions
KW - Hilbert transforms
KW - Nonlinear and nonstationary signals
UR - http://www.scopus.com/inward/record.url?scp=33645773008&partnerID=8YFLogxK
U2 - 10.1007/s10444-004-7614-3
DO - 10.1007/s10444-004-7614-3
M3 - 期刊論文
AN - SCOPUS:33645773008
SN - 1019-7168
VL - 24
SP - 171
EP - 195
JO - Advances in Computational Mathematics
JF - Advances in Computational Mathematics
IS - 1-4
ER -