B-spline based empirical mode decomposition

Sherman Riemenschneider, Bao Liu, Yuesheng Xu, Norden E. Huang

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

14 Scopus citations

Abstract

This paper discusses some mathematical issues related to empirical mode decomposition (EMD). A B-spline EMD algorithm is introduced and developed for the convenience of mathematical studies. The numerical analysis using both simulated and practical signals and application examples from vibration analysis indicate that the B-spline algorithm has a comparable performance to that of the original EMD algorithm. It is also demonstrated that for white noise, the B-spline algorithm acts as a dyadic filter bank. Our mathematical results on EMD include Euler splines as intrinsic mode functions, the Hilbert transform of B-splines, and the necessary and sufficient conditions which ensure the validity of the Bedrosian identity of the Hilbert transform of product functions.

Original languageEnglish
Title of host publicationHilbert-huang Transform And Its Applications
PublisherWorld Scientific Publishing Co.
Pages27-55
Number of pages29
ISBN (Electronic)9789812703347
DOIs
StatePublished - 1 Jan 2005

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