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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

EMD: A Package for Empirical Mode Decomposition and Hilbert Spectrum

Donghoh Kim, +1 more
- 01 Jan 2009 - 
TL;DR: An R package called EMD is introduced that performs oneand twodimensional EMD and HS and the Hilbert spectral analysis of intrinsic mode functions provides frequency information evolving with time and quantifies the amount of variation due to oscillation at different time scales and time locations.
Journal ArticleDOI

PM2.5 forecasting using SVR with PSOGSA algorithm based on CEEMD, GRNN and GCA considering meteorological factors

TL;DR: The experimental results show that the hybrid CEEMD-PSOGSA-SVR-GRNN model outperforms other six compared models and can be used to develop air quality forecasting and warnings.
Proceedings ArticleDOI

ECG denoising based on the empirical mode decomposition.

TL;DR: A new ECG denoising method based on the recently developed Empirical Mode Decomposition (EMD) is proposed, able to remove high frequency noise with minimum signal distortion.
Journal ArticleDOI

An ensemble long short-term memory neural network for hourly PM2.5 concentration forecasting.

TL;DR: The E-LSTM model inspired by ensemble learning, which constructs multiple LSTMs in different modes, obtained better forecasting performance than that using the single LSTM and feed forward neural network in terms of mean absolute percentage error.
Journal ArticleDOI

Fourier–Bessel series expansion based empirical wavelet transform for analysis of non-stationary signals

TL;DR: The proposed method has provided better TF representation as compared to existing EWT method and Hilbert–Huang transform (HHT) method, especially when analyzed signal possesses closed frequency components and of short time duration.
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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