RECENT MATHEMATICAL DEVELOPMENTS ON EMPIRICAL MODE DECOMPOSITION-Reference-Cited by-同舟云学术

RECENT MATHEMATICAL DEVELOPMENTS ON EMPIRICAL MODE DECOMPOSITION

Published:2009-10 Issue:04 Volume:01 Page:681-702
ISSN:1793-5369
Container-title:Advances in Adaptive Data Analysis
language:en
Short-container-title:Adv. Adapt. Data Anal.

Author:

XU YUESHENG¹²,ZHANG HAIZHANG³

Affiliation:

1. Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA

2. School of Mathematics and Computational Sciences, Sun Yat-Sen University, Guangzhou 510275, P. R. China

3. University of Michigan, Ann Arbor, MI 48109, USA

Abstract

Building the mathematical foundation for the empirical mode decomposition is an important issue in adaptive data analysis. The task of building such a foundation consists of two stages. The first is to construct a large bank of basis functions for the time–frequency analysis of nonlinear and nonstationary signals. The second is to establish a fast adaptive decomposition algorithm. We survey recent mathematical progress on these two stages. Related results on piecewise linear spectral sequences and the Bedrosian identity are also reviewed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science Applications,Information Systems

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793536909000242

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