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The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis

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

Synchronous 500-year oscillations of monsoon climate and human activity in Northeast Asia.

TL;DR: Climate and archaeological records from Northeast China over the past 8000 years are combined to demonstrate ~500 year cycles in both the monsoon and human activity, revealing a pronounced relationship between prehistoric human activity and cyclical climate change.
Journal ArticleDOI

PM2.5 concentration forecasting at surface monitoring sites using GRU neural network based on empirical mode decomposition.

TL;DR: In this article, an integration method of gated recurrent unit neural network based on empirical mode decomposition (EMD-GRU) was proposed for predicting PM2.5 concentration.
Journal ArticleDOI

Induction motor broken rotor bar fault location detection through envelope analysis of start-up current using Hilbert transform

TL;DR: In this paper, a new technique is proposed for detecting the location of the broken rotor bar in the rotor, which relies on monitoring certain statistical parameters estimated from the analysis of the start-up stator current envelope.
Journal ArticleDOI

Bivariate empirical mode decomposition and its contribution to wind turbine condition monitoring

TL;DR: In this paper, bivariate empirical mode decomposition (BEMD) is investigated to assess whether it could be a better solution for wind turbine condition monitoring, and the effectiveness of the proposed technique in detecting machine incipient fault is compared with EMD and a recently developed wavelet-based energy tracking technique.
Journal ArticleDOI

Theoretical analysis and comparison of the Hilbert transform decomposition methods

TL;DR: In this article, the empirical mode decomposition and Hilbert vibration decomposition were compared for extracting simple components using the varying instantaneous frequency and amplitude from multicomponent non-stationary signals.
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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