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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

Application of EMD method and Hilbert spectrum to the fault diagnosis of roller bearings

TL;DR: In this article, the authors proposed a method for the fault diagnosis of roller bearings based on EMD and Hilbert spectrum analysis of wavelet coefficients of high scales, which can obtain the local Hilbert marginal spectrum from which the faults in a bearing can be diagnosed and fault patterns can be identified.
Journal ArticleDOI

Machine learning methods for wind turbine condition monitoring: A review

TL;DR: This paper reviews the recent literature on machine learning models that have been used for condition monitoring in wind turbines and shows that most models use SCADA or simulated data, with almost two-thirds of methods using classification and the rest relying on regression.
Journal ArticleDOI

Bearing Health Monitoring Based on Hilbert–Huang Transform, Support Vector Machine, and Regression

TL;DR: The experimental results show that the use of the HHT, the SVM, and the SVR is a suitable strategy to improve the detection, diagnostic, and prognostic of bearing degradation.
Journal ArticleDOI

A roller bearing fault diagnosis method based on EMD energy entropy and ANN

TL;DR: The analysis results from roller bearing signals with inner-race and out-race faults show that the diagnosis approach based on neural network by using EMD to extract the energy of different frequency bands as features can identify roller bearing fault patterns accurately and effectively and is superior to that based on wavelet packet decomposition and reconstruction.
Journal ArticleDOI

EMD-Based Signal Filtering

TL;DR: A signal-filtering method based on empirical mode decomposition is proposed, limited to signals that were corrupted by additive white Gaussian noise, and the results are compared to well-known filtering methods.
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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