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Journal ArticleDOI

The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis

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...

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Citations
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Journal ArticleDOI

Strong Turbulence in the Wave Crest Region

TL;DR: In this paper, the authors estimate the dissipation rates of turbulence kinetic energy based on centered second-order structure functions at 4-Hz sampling and show a clear threshold behavior in accordance with the onset of wave breaking.
Journal ArticleDOI

Laboratory measurements of limiting freak waves on currents

TL;DR: In this article, both dispersive spatial-temporal focusing and wave-current interaction are used to generate freak wave formation in a partial random wave field in the presence of currents.
Journal ArticleDOI

Instantaneous frequency estimation based on synchrosqueezing wavelet transform

TL;DR: The numerical experiments show that the instantaneous frequency-embedded synchrosqueezing wavelet transform (IFE-SST) outperforms the CWT-based SST in IF estimation and separation of multicomponent signals.
Journal ArticleDOI

Modal identification of Shanghai World Financial Center both from free and ambient vibration response

TL;DR: In this paper, three output-only modal identification techniques are applied to the ambient and forced vibration measurements of Shanghai World Financial Center (SWFC) to identify the dynamic properties of the building.
Journal ArticleDOI

Persistent homology for time series and spatial data clustering

TL;DR: The main contribution of the approach is enabling the clustering of time series that have similar recurrent behavior characterized by their attractors in phase space and spatial data that havesimilar scale-invariant spatial distributions, as traditional clustering techniques ignore that information as they rely on point-to-point dissimilarity measures such as Euclidean distance or elastic measures.
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

G. B. Whitham
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.

Theory of communication

Dennis Gabor
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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