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

Laszuk, Dawid, Cadenas, Jose O., 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). p. 1650004. ISSN 2424-922X. E-ISSN 2424-9238. (doi:10.1142/S2424922X16500042)

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http://dx.doi.org/10.1142/S2424922X16500042

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.

Item Type: Article
DOI/Identification number: 10.1142/S2424922X16500042
Uncontrolled keywords: Empirical mode decomposition; instantaneous frequency; frequency mixing; particle swarm optimization; Kuramoto model; phase coupling
Subjects: Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming, > QA76.87 Neural computers, neural networks
Divisions: Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Jose Oswaldo Cadenas
Date Deposited: 05 Oct 2016 08:52 UTC
Last Modified: 09 Jul 2019 13:21 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/57663 (The current URI for this page, for reference purposes)
Cadenas, Jose O.: https://orcid.org/0000-0003-4152-6458
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