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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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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GEOSAT Altimeter Observations of Kelvin Waves and the 1986-87 El Niño
TL;DR: Two years of GEOSAT altimeter observations are used to investigate the response of sea level to anomalous westerly wind bursts in the tropical Pacific Ocean before and during the 1986-87 El Ni �o, and provide a synoptic description of the El Ni�o oceanographic phenomenon.
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A new model for nonlinear wind waves. Part 1. Physical model and experimental evidence
Bruce M. Lake,Henry C. Yuen +1 more
TL;DR: In this paper, a new interpretation of a nonlinear wind-wave system is proposed, where the spectral components of the wind wave system are not considered a random collection of free waves, each obeying the usual dispersion relation, but are effectively non-dispersive bound-wave components of a single dominant wave, travelling at the speed of the dominant wave.
Journal ArticleDOI
Evolutionary power spectral density of strong-motion earthquakes
TL;DR: In this article, the evolutionary (time-dependent) power spectral density curves of six strong-motion earthquakes are presented and the earthquake accelerograms are treated as piecewise-separable and the frequency-independent modulating function is estimated by applying the mean square minimization criterion.
Journal ArticleDOI
The Nonlinear Equatorial Kelvin Wave
TL;DR: In this paper, a uniformly valid approximation to the nonlinear equatorial Kelvin wave was derived using the method of strained coordinates, and it was shown that nonlinear effects are negligible for the Kelvin waves associated with the Gulf of Guinea upwelling.
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Ensemble empirical mode decomposition: a noise-assisted data analysis method
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