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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

Hilbert marginal spectrum analysis for automatic seizure detection in EEG signals

TL;DR: A final comparison between the results obtained with the developed technique and results adopted by Polat and coworkers using Fourier analysis with the same database is given to show the effectiveness of this technique for seizure detection.
Journal ArticleDOI

Random noise attenuation using f-x regularized nonstationary autoregression

TL;DR: In this article, a novel method for random noise attenuation in seismic data by applying regularized nonstationary autoregression (RNA) in the frequency-space (f-x) domain was developed.
Journal ArticleDOI

Instantaneous frequency in time–frequency analysis: Enhanced concepts and performance of estimation algorithms

TL;DR: Some of the most important developments in the last two decades related to the concept of the IF, performance analysis ofIF estimators, and development of IF estimators for low SNR environments are reviewed.
Journal ArticleDOI

Daily air quality index forecasting with hybrid models: A case in China

TL;DR: The AQI forecasting results of Xingtai show that the two proposed hybrid models are superior to ARIMA, SVR, GRNN, EMD-GRNN, Wavelet- GRNN andWavelet-SVR, and can be used as effective and simple tools for air pollution forecasting and warning as well as for management.
Journal ArticleDOI

Application of hybrid model based on empirical mode decomposition, novel recurrent neural networks and the ARIMA to wind speed prediction

TL;DR: The results in this paper show that the EMD method can improve the wind speed prediction performance when it is combined with LSTM and after decomposition, L STM is suitable for predicting high complexity subsequences and the ARIMA is suited for effectively predicting low complexity subsequence based on the different sample entropies.
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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