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Journal ArticleDOI

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

Recent progress on decoupling diagnosis of hybrid failures in gear transmission systems using vibration sensor signal: A review

TL;DR: In this article, the authors reviewed various aspects of recent research in decoupling diagnosis of hybrid faults in gear transmission systems, and discussed the techniques used for gearbox hybrid faults decoupled.
Journal ArticleDOI

Passive non-linear targeted energy transfer and its applications to vibration absorption: A review

TL;DR: The concept of TET may be regarded as contrary to current common engineering practice, which generally views nonlinearities in engineering systems as either unwanted or, at most, small perturbations of linear behaviour as discussed by the authors.
Journal ArticleDOI

A new air quality monitoring and early warning system: Air quality assessment and air pollutant concentration prediction.

TL;DR: A new air quality monitoring and early warning system, including an assessment module and forecasting module and a novel hybridization model combining complementary ensemble empirical mode decomposition, a modified cuckoo search and differential evolution algorithm, and an Elman neural network is proposed to improve the forecasting accuracy of six main air pollutant concentrations.
Journal ArticleDOI

Spontaneous Brain Activity as a Source of Ideal 1/f Noise

TL;DR: It is argued that the time interval between two consecutive renewal events driving the coincidences has a waiting-time distribution with inverse power-law index mu approximately 2 corresponding to ideal 1/f noise and supports the conviction that 1/ f noise is an optimal communication channel for complex networks as in art or language.
Journal ArticleDOI

An EMD-recursive ARIMA method to predict wind speed for railway strong wind warning system

TL;DR: The proposed wind speed forecasting method has better forecasting performance than the traditional Autoregressive Integrated Moving Average (ARIMA) model, the Persistent Random Walk Model (PRWM) and the Back Propagation (BP) neural networks and the proposed method has satisfactory performance in both of the accuracy and the time performance.
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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