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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

A review of feature extraction and performance evaluation in epileptic seizure detection using EEG

TL;DR: This paper aims to comprehensively summarize feature descriptions and their interpretations in characterizing epileptic seizures using EEG signals, as well as to review classification performance metrics.
Journal ArticleDOI

A Refined Hilbert–Huang Transform With Applications to Interarea Oscillation Monitoring

TL;DR: In this paper, the authors focus on the refinement of standard Hilbert-Huang transform (HHT) technique to accurately characterize time varying, multicomponents interarea oscillations.
Journal ArticleDOI

Identification of mechanical compound-fault based on the improved parameter-adaptive variational mode decomposition.

TL;DR: The proposed IPAVMD outperforms the traditional parameter-adaptive VMD and further expands the application to compound-fault diagnosis and improves the optimization objective function of grasshopper optimization algorithm based on the ensemble kurtosis.
Journal ArticleDOI

Wind response control of building with variable stiffness tuned mass damper using empirical mode decomposition/hilbert transform

TL;DR: In this article, a semi-active variable stiffness-tuned mass damper (SAIVS-TMD) was proposed for the response control of a wind-excited tall benchmark building.
Journal ArticleDOI

Empirical mode decomposition for seismic time-frequency analysis

TL;DR: Time-frequency analysis plays a significant role in seismic data processing and interpretation and demonstrates that this method promises higher spectral-spatial resolution than the short-time Fourier transform or wavelet transform.
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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