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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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Journal ArticleDOI

Individual identification via electrocardiogram analysis

TL;DR: A survey of the techniques used so far in ECG-based human identification is provided, providing a unifying framework to appreciate previous studies and, hopefully, guide future research.
Journal ArticleDOI

A hybrid forecasting system based on fuzzy time series and multi-objective optimization for wind speed forecasting

TL;DR: A novel hybrid forecasting system consisting of three modules (a data preprocessing module, optimization module, and forecasting module) is developed to improve the forecasting accuracy and stability and demonstrates the great performance of proposed system.
Journal ArticleDOI

Quantifying Neural Oscillatory Synchronization: A Comparison between Spectral Coherence and Phase-Locking Value Approaches.

TL;DR: It is found that spectral coherence failed to robustly reflect changes in synchrony-mediated information flow between neural networks in many instances, and a phase-locking value (PLV) method based on the reconstruction of the instantaneous phase was explored.
Journal ArticleDOI

Automatic Classification of Power Quality Events Using Balanced Neural Tree

TL;DR: An empirical-mode decomposition (EMD) and Hilbert transform (HT)-based method for the classification of power quality (PQ) events and is compared with an S-transform-based classifier to show the efficacy of the proposed technique in classifying the PQ disturbances.
Journal ArticleDOI

Mapping Rice Cropping Systems in Vietnam Using an NDVI-Based Time-Series Similarity Measurement Based on DTW Distance

TL;DR: The results demonstrate that the DTW-based similarity measure of the NDVI time series can be effectively used to map large-area rice cropping systems with diverse cultivation processes.
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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