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
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...read more
Citations
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Journal ArticleDOI
Ensemble empirical mode decomposition: a noise-assisted data analysis method
Zhaohua Wu,Norden E. Huang +1 more
TL;DR: The effect of the added white noise is to provide a uniform reference frame in the time–frequency space; therefore, the added noise collates the portion of the signal of comparable scale in one IMF.
Journal ArticleDOI
Variational Mode Decomposition
TL;DR: This work proposes an entirely non-recursive variational mode decomposition model, where the modes are extracted concurrently and is a generalization of the classic Wiener filter into multiple, adaptive bands.
Journal ArticleDOI
Empirical mode decomposition as a filter bank
TL;DR: It turns out that EMD acts essentially as a dyadic filter bank resembling those involved in wavelet decompositions, and the hierarchy of the extracted modes may be similarly exploited for getting access to the Hurst exponent.
Journal ArticleDOI
A new view of nonlinear water waves: the Hilbert spectrum
TL;DR: In this paper, Hilbert spectral analysis is proposed as an alternative to wavelet analysis, which provides not only a more precise definition of particular events in time-frequency space, but also more physically meaningful interpretations of the underlying dynamic processes.
Journal ArticleDOI
Neurophysiological and Computational Principles of Cortical Rhythms in Cognition
TL;DR: A plethora of studies will be reviewed on the involvement of long-distance neuronal coherence in cognitive functions such as multisensory integration, working memory, and selective attention, and implications of abnormal neural synchronization are discussed as they relate to mental disorders like schizophrenia and autism.
References
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Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series
Robert Vautard,Michael Ghil +1 more
TL;DR: Singular Spectrum Analysis (SSA) as discussed by the authors provides a theoretical upper bound for the minimal number of degrees of freedom required to describe the attractor up to the accuracy of the data, taking into account sampling and noise problems.
The wigner distribution - a tool for time-frequency signal analysis
T. Claasen,W. Mecklenbrauker +1 more
TL;DR: In this paper, the Wigner distribution is adapted to the case of discrete-time signals and it is shown that most of the properties of this time-frequency signal representation carry over directly to the discrete time case, but some other problems are associated with the fact that in general, these aliasing contributions will not be present if the signal is either oversampled by a factor of at least two, or is analytic.
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Introduction to the Theory of Fourier Integrals
TL;DR: Titchmarsh's new book comes up to the high standard of the former Introduction to the Theory of Fourier Integrals by Prof E C Titchmarm as mentioned in this paper.
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Ensemble empirical mode decomposition: a noise-assisted data analysis method
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