Journal ArticleDOI
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Norden E. Huang,Zheng Shen,Steven R. Long,Man-Li C. Wu,Hsing H. Shih,Quanan Zheng,Nai-Chyuan Yen,C. C. Tung,Henry H. Liu +8 more
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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...read more
Citations
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Journal ArticleDOI
Intrinsic mono-component decomposition of functions: An advance of Fourier theory
TL;DR: In this paper, a function decomposition model called intrinsic mono-component decomposition (IMD) is proposed, which is a continuation of the recent study on adaptive decomposition of functions into mono-components (MCs).
Journal ArticleDOI
An adaptively fast ensemble empirical mode decomposition method and its applications to rolling element bearing fault diagnosis
TL;DR: In this article, an adaptive fast ensemble EEMD (AFEEMD) method combined with complementary ensemble EMD (CEEMD), where the two critical parameters are respectively fixed as 0.01 times standard deviation of the original signal and two ensemble trials.
Journal ArticleDOI
Time–frequency representation of earthquake accelerograms and inelastic structural response records using the adaptive chirplet decomposition and empirical mode decomposition
TL;DR: In this article, the adaptive chirplet decomposition combined with the Wigner-Ville transform and the empirical mode decomposition are employed to process various non-stationary signals (strong ground motions and structural responses).
Journal ArticleDOI
Rotary Machine Health Diagnosis Based on Empirical Mode Decomposition
Ruqiang Yan,Robert X. Gao +1 more
TL;DR: In this paper, a signal decomposition and feature extraction technique for the health diagnosis of rotary machines, based on the empirical mode decomposition, is presented, where the vibration signal measured from a defective rolling bearing is decomposed into a number of intrinsic mode functions (IMFs), with each IMF corresponding to a specific range of frequency components contained within the vibration signals.
Proceedings Article
Denoising via empirical mode decomposition
TL;DR: A signal denoising scheme based a multiresolution approach referred to as Empirical mode decomposition (EMD) is presented and the results compared to Wavelets, Averaging and Median methods are analyzed.
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
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.
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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