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

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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...

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Analytical methods and experimental approaches for electrophysiological studies of brain oscillations.

TL;DR: Methods for studying brain oscillations with MEG/EEG are reviewed, focusing on novel experimental approaches such as entrainment and methods for identifying relation between brain oscillation and behaviour.
Journal ArticleDOI

EMD-seislet transform

TL;DR: In this paper, the authors combined the 1D nonstationary seislet transform with empirical-mode decomposition (EMD) in the f-x domain, and the resulting representation showed remarkable sparsity.
Journal ArticleDOI

A four-stage hybrid model for hydrological time series forecasting.

TL;DR: The proposed four-stage hybrid model performs better than conventional single models, the hybrid models without denoising or decomposition and the hybrid model based on other methods, such as the wavelet analysis (WA)-based hybrid models.
Journal ArticleDOI

Wind speed forecasting method using wavelet, extreme learning machine and outlier correction algorithm

TL;DR: The experimental results indicate that the proposed hybrid model has the best forecasting performance in the comparisons of all the involved mainstream wind speed forecasting models.
Journal ArticleDOI

A cutter tool monitoring in machining process using Hilbert-Huang transform

TL;DR: In this paper, the use of accelerometer signals in order to detect cutter tool wear and tool fault under different cutting conditions is presented, where the acceleration signals (processed by using HHT) change the frequency in the marginal spectra as a result of geometric change of the cutter tool.
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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