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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

A Comparative Study of Empirical Mode Decomposition-Based Short-Term Wind Speed Forecasting Methods

TL;DR: It shows that EMD and its improved versions enhance the performance of SVR significantly but marginally on ANN, and among the EMD-based hybrid methods, the proposed CEEMDAN-SVR is the best method.
Journal ArticleDOI

Time-varying vibration decomposition and analysis based on the Hilbert transform

TL;DR: In this article, a simple method for time-varying vibration decomposition based on the Hilbert transform is proposed, where the non-stationary frequency of the largest component is estimated as an average function of the instantaneous frequency, and the corresponding envelope is estimated according to synchronous demodulation.
Journal ArticleDOI

Data-driven prognostic method based on Bayesian approaches for direct remaining useful life prediction

TL;DR: A two phases data driven method for RUL prediction is presented and the results show the effectiveness of the method in predicting the RUL for both applications.
Journal ArticleDOI

Application of the Empirical Mode Decomposition and Hilbert-Huang Transform to Seismic Reflection Data

TL;DR: This work is to determine whether the HHT allows for empirically-derived characteristics to be used in filter design and application, resulting in better filter performance and enhanced signal-to-noise ratio.
Journal ArticleDOI

Empirical mode decomposition based ECG enhancement and QRS detection

TL;DR: An Empirical Mode Decomposition (EMD) based ECG signal enhancement and QRS detection algorithm is proposed and a single fold processing of each signal is required unlike other conventional techniques.
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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