A B-spline approach for empirical mode decompositions

Qiuhui Chen, Norden Huang, Sherman Riemenschneider, Yuesheng Xu

Research output: Contribution to journalArticlepeer-review

280 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)171-195
Number of pages25
JournalAdvances in Computational Mathematics
Volume24
Issue number1-4
DOIs
StatePublished - Jan 2006

Keywords

  • B-splines
  • Empirical mode decompositions
  • Hilbert transforms
  • Nonlinear and nonstationary signals

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