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

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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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Journal ArticleDOI

Review of noise removal techniques in ECG signals

TL;DR: It is observed that Wavelet-VBE, EMD-MAF, GAN2, GSSSA, new MP-EKF, DLSR, and AKF are most suitable for additive white Gaussian noise removal and GAN1 is the best denoising option for composite noise removal.
Journal ArticleDOI

Acoustic emission pattern recognition approach based on Hilbert–Huang transform for structural health monitoring in polymer-composite materials

TL;DR: The Hilbert–Huang transform is used for the extraction of new relevant damage descriptor to be adopted for Acoustic Emission (AE) pattern recognition in order to help understanding the damage process.
Journal ArticleDOI

Sparse representation of transients in wavelet basis and its application in gearbox fault feature extraction

TL;DR: In this article, a new transient feature extraction technique is proposed for gearbox fault diagnosis based on sparse representation in wavelet basis, which can extract both the impulse time and the period of transients.
Journal ArticleDOI

A time–frequency analysis approach for condition monitoring of a wind turbine gearbox under varying load conditions

TL;DR: In this paper, a simplified nonlinear gear model is developed, on which the time-frequency analysis method is first applied for the easiest understanding of the challenges faced, and the effect of varying loads is examined in the simulations and later on in real wind turbine gearbox experimental data.
Journal ArticleDOI

Analytical basics of the EMD: Two harmonics decomposition

TL;DR: In this article, the authors theoretically explain how the empirical mode decomposition (EMD) operates for harmonic functions and why it selects out the highest frequency oscillation, leaving the lower frequency oscillations in the signal.
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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