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
Time–frequency analysis of chaotic systems
TL;DR: In this paper, a wavelet decomposition of a trajectory using wavelets is proposed to detect resonance trappings and transitions and allow a characterization of the notion of weak and strong chaos.
Journal ArticleDOI
Generator Coherency Using the Hilbert–Huang Transform
TL;DR: In this article, Huang's empirical mode decomposition is applied to extract dominant oscillatory modes from interarea oscillations/swing curves, and the Hilbert transform on these modes yields their instantaneous phase.
Journal ArticleDOI
The modulated annual cycle: an alternative reference frame for climate anomalies
Zhaohua Wu,Edwin K. Schneider,Ben P. Kirtman,Edward S. Sarachik,Norden E. Huang,Compton J. Tucker +5 more
TL;DR: In this article, the authors propose an alternative reference frame for climate anomalies, the modulated annual cycle (MAC) that allows the annual cycle to change from year to year, for defining anomalies.
Journal ArticleDOI
Comparison of the MK test and EMD method for trend identification in hydrological time series
TL;DR: In this paper, the authors investigated the performance of the Mann-Kendall (MM) test and the empirical mode decomposition (EMD) method for trend identification of hydrological time series.
Journal ArticleDOI
Boundary-processing-technique in EMD method and Hilbert transform
TL;DR: By using of neural network every IMF component can also be extended forward and backward, which effectively restrains the end effect, thus the veracious Hilbert spectra are achieved.
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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