On the Phase Coupling of Two Components Mixing in Empirical Mode Decomposition

Journal article


Laszuk, D, Cadenas, O. and Nasuto, Slawomir J. (2016). On the Phase Coupling of Two Components Mixing in Empirical Mode Decomposition. Advances in Data Science and Adaptive Analysis. 8 (1). https://doi.org/10.1142/S2424922X16500042
AuthorsLaszuk, D, Cadenas, O. and Nasuto, Slawomir J.
Abstract

This paper investigates frequency mixing effect of empirical mode decomposition (EMD) and explores whether it can be explained by simple phase coupling between components of the input signal. The input is assumed to be a linear combination of harmonic oscillators. The hypothesis was tested assuming that phases of input signals’ components would couple according to Kuramoto’s model. Using a Kuramoto’s model with as many oscillators as the number of intrinsic mode functions (result of EMD), the model’s parameters were adjusted by a particle swarm optimization (PSO) method. The results show that our hypothesis is plausible, however, a different coupling mechanism than the simple sine-coupling Kuramoto’s model are likely to give better results.

KeywordsEmpirical mode decomposition; instanteneous frequency; Kuramoto model; Particle swarm optimization
Year2016
JournalAdvances in Data Science and Adaptive Analysis
Journal citation8 (1)
PublisherWorld Scientific Europe
ISSN2424-922X, 2424-9238
Digital Object Identifier (DOI)https://doi.org/10.1142/S2424922X16500042
Publication dates
Print03 Aug 2016
Publication process dates
Deposited08 May 2017
Accepted21 Apr 2016
Accepted author manuscript
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Open
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