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Journal ArticleDOI

The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis

TLDR
In this paper, a new method for analysing nonlinear and nonstationary data has been developed, which is the key part of the method is the empirical mode decomposition method with which any complicated data set can be decoded.
Abstract
A new method for analysing nonlinear and non-stationary data has been developed. The key part of the method is the empirical mode decomposition method with which any complicated data set can be dec...

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Citations
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Journal ArticleDOI

Fault classification in power systems using EMD and SVM

TL;DR: Results demonstrate that the combination of EMD and SVM can be an efficient classifier with acceptable levels of accuracy.
Journal ArticleDOI

Global streamflows - Part 1: Characteristics of annual streamflows

TL;DR: In this article, a set of 1221 global rivers are compared with the rest of the world and the results show that there are large differences in hydrologic characteristics between Australia and southern Africa.
Journal ArticleDOI

Early fault feature extraction of rolling bearing based on ICD and tunable Q-factor wavelet transform

TL;DR: In this paper, a combination of intrinsic characteristic-scale decomposition (ICD) and TQWT is proposed to diagnose the early fault of rolling bearings, which has significant advantages on computation efficiency and alleviation of mode mixing.
Journal ArticleDOI

A Methodology for Validating Artifact Removal Techniques for Physiological Signals

TL;DR: A more empirical approach to the modeling of the desired signal is described that is demonstrated for functional brain monitoring tasks which allows for the procurement of a “ground truth” signal which is highly correlated to a true desired signal that has been contaminated with artifacts.
Journal ArticleDOI

Nonlinear mode decomposition: a noise-robust, adaptive decomposition method.

TL;DR: Nonlinear mode decomposition (NMD) as discussed by the authors decomposes a given signal into a set of physically meaningful oscillations for any wave form, simultaneously removing the noise, based on the powerful combination of time-frequency analysis techniques, together with the adaptive choice of their parameters.
References
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Journal ArticleDOI

Deterministic nonperiodic flow

TL;DR: In this paper, it was shown that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states, and systems with bounded solutions are shown to possess bounded numerical solutions.
Book

Linear and Nonlinear Waves

G. B. Whitham
TL;DR: In this paper, a general overview of the nonlinear theory of water wave dynamics is presented, including the Wave Equation, the Wave Hierarchies, and the Variational Method of Wave Dispersion.
Book

RANDOM DATA Analysis and Measurement Procedures

TL;DR: A revised and expanded edition of this classic reference/text, covering the latest techniques for the analysis and measurement of stationary and nonstationary random data passing through physical systems, is presented in this article.

Theory of communication

Dennis Gabor
Journal ArticleDOI

Mathematical analysis of random noise

TL;DR: In this paper, the authors used the representations of the noise currents given in Section 2.8 to derive some statistical properties of I(t) and its zeros and maxima.
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