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Journal ArticleDOI

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

A multiscale analysis for carbon price drivers

TL;DR: In this article, a multiscale analysis model was proposed to explore and identify the carbon price drivers at different timescales by introducing the latest multivariate empirical mode decomposition, carbon price and its potential drivers are decomposed into several groups of simple modes with specific economic meanings.
Proceedings ArticleDOI

A novel approach of fast and adaptive bidimensional empirical mode decomposition

TL;DR: Simulation results demonstrate that besides reducing the computation time, FABEMD outperforms the original BEMD in terms of the quality in some cases.
Journal ArticleDOI

Improved EMD-Based Complex Prediction Model for Wind Power Forecasting

TL;DR: A novel improved version of empirical mode decomposition (IEMD) to decompose wind measurements is proposed to demonstrate the superiority of the proposed method for wind forecasting compared to other methods for all test cases.
Journal ArticleDOI

On the quantification of heart rate variability spectral parameters using time-frequency and time-varying methods

TL;DR: This paper is an excursus through the most common time–frequency/time-varying representation of the HRV signal with a special emphasis on the algorithms employed for the reliable quantification of the LF and HF parameters and their tracking.
Proceedings ArticleDOI

Empirical Mode Decomposition - an introduction

TL;DR: The contribution reviews the technique of EMD and related algorithms and discusses illustrative applications.
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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