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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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A demodulating approach based on local mean decomposition and its applications in mechanical fault diagnosis

TL;DR: In this paper, a modulation feature extraction method based on Local Mean Decomposition (LMD) is proposed for failure detection in rotating machinery, and the dependence of the LMD method on the signal-to-noise ratio (SNR) is investigated by analyzing synthetic signals which are added with Gaussian noise.
Journal ArticleDOI

Fault Diagnosis of On-Load Tap-Changer in Converter Transformer Based on Time–Frequency Vibration Analysis

TL;DR: An effective fault-diagnosis strategy based on energy distributions variations of OLTC vibration signals according to Lorentz information measure is brought up and the calculated results under normal and typical fault conditions have shown that the energy spectrums of different conditions vary significantly so that the similarity index can measure the difference degree of energy distribution.
Journal ArticleDOI

The intensification and shift of the annual North Atlantic Oscillation in a global warming scenario simulation

Zeng-Zhen Hu, +1 more
- 01 Mar 2004 - 
TL;DR: In this article, the impact of global warming on the annual North Atlantic Oscillation (NAO) is investigated with a global warming scenario simulation of the ECHAM4/OPYC3 coupled general circulation model.
Journal ArticleDOI

Scaling Effect on Prediction of Cavitation Inception in a Line Vortex Flow

TL;DR: In this article, a spherical model coupled with a bubble motion equation is used to study numerically the dynamics of a nucleus in an imposed flow field, and bubble size and emitted sound versus time are presented for various nuclei sizes and flow field scales in the case of an ideal Rankine vortex.
Journal ArticleDOI

The Fourier Decomposition Method for nonlinear and nonstationary time series analysis

TL;DR: In this article, the Fourier decomposition method (FDM) was proposed for the analysis of nonlinear (i.e. data generated by nonlinear systems) and nonstationary time series.
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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