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
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Journal ArticleDOI
Data-driven time-frequency analysis
Thomas Y. Hou,Zuoqiang Shi +1 more
TL;DR: A nonlinear matching pursuit method is proposed by generalizing the classical matching pursuit for the l^0 optimization problem and it can be implemented very efficiently and is very stable to noise.
Proceedings ArticleDOI
Stationary graph signals using an isometric graph translation
TL;DR: This work proposes a spectral characterisation of WSS graph signals allowing to study stationarity using only the spectral components of a graph signal and applies it on a synthetic graph in order to study a few important stochastic graph signals.
Journal ArticleDOI
New wind speed forecasting approaches using fast ensemble empirical model decomposition, genetic algorithm, Mind Evolutionary Algorithm and Artificial Neural Networks
TL;DR: Among all the involved methods, the hybrid FEEMD-MEA-MLP model has the best forecasting performance and two experimental results show that it is both effective in the wind speed high-precision predictions.
Journal ArticleDOI
Multiscale noise tuning of stochastic resonance for enhanced fault diagnosis in rotating machines
TL;DR: In this paper, an improved stochastic resonance (SR) approach with parameter tuning for identifying the defect-induced rotating machine faults is proposed. But the proposed approach requires small parameters, which is not suited for rotating machine fault diagnosis as the defect induced fault characteristic frequency is usually much higher than 1 Hz.
Journal ArticleDOI
A Review of Early Fault Diagnosis Approaches and Their Applications in Rotating Machinery.
TL;DR: This paper reviews and summarizes the research works on EFD of gears, rotors, and bearings and serves as a guidemap for researchers in the field of early fault diagnosis.
References
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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.
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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.
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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.
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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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Ensemble empirical mode decomposition: a noise-assisted data analysis method
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