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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 Novel Empirical Mode Decomposition With Support Vector Regression for Wind Speed Forecasting

TL;DR: A novel wind speed forecasting method by integrating empirical mode decomposition (EMD) and support vector regression (SVR) methods is proposed, which outperforms several recently reported methods with respect to accuracy or computational complexity.
Journal ArticleDOI

A New Spectral Representation of Earthquake Data: Hilbert Spectral Analysis of Station TCU129, Chi-Chi, Taiwan, 21 September 1999

TL;DR: In this article, a new method of spectral analysis, using an approach called the empirical mode decomposition (EMD) and the Hilbert spectrum analysis (HSA), is presented.
Journal ArticleDOI

Time series forecasting for nonlinear and non-stationary processes: a review and comparative study

TL;DR: This article presents a review of advancements in nonlinear and non-stationary time series forecasting models and a comparison of their performances in certain real-world manufacturing and health informatics applications.
Journal ArticleDOI

A new hybrid method for the prediction of the remaining useful life of a lithium-ion battery

TL;DR: In this article, a hybrid method with the thought of error-correction is proposed to predict the remaining useful life of lithium-ion battery, which fuses the algorithms of unscented Kalman filter, complete ensemble empirical mode decomposition (CEEMD) and relevance vector machine.
Journal ArticleDOI

Suprachiasmatic neuron numbers and rest-activity circadian rhythms in older humans.

TL;DR: The circadian rhythm amplitude of motor activity in both AD subjects and age‐matched controls is correlated with the number of vasoactive intestinal peptide–expressing SCN neurons, suggesting distinct pathologies and strategies for treating aging‐ and AD‐related circadian disturbances.
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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