A B-spline approach for empirical mode decompositions

Qiuhui Chen, Norden Huang, Sherman Riemenschneider, Yuesheng Xu

研究成果: 雜誌貢獻期刊論文同行評審

273 引文 斯高帕斯(Scopus)

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.

原文???core.languages.en_GB???
頁(從 - 到)171-195
頁數25
期刊Advances in Computational Mathematics
24
發行號1-4
DOIs
出版狀態已出版 - 1月 2006

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