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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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Book ChapterDOI

The Hilbert Transform

Journal ArticleDOI

Classification of imbalanced ECG beats using re-sampling techniques and AdaBoost ensemble classifier

TL;DR: Simulation results show that the proposed method provides a better solution to the class imbalance problem in heartbeat classification.
Journal ArticleDOI

Brain computer interface control via functional connectivity dynamics

TL;DR: The dynamics of inter-regional communication within the brain during cognitive processing - referred to as functional connectivity - are investigated as a control feature for a brain computer interface demonstrating that functional connectivity dynamics provide additional information and improved BCI control accuracies.
Journal ArticleDOI

EMD-based fault diagnosis for abnormal clearance between contacting components in a diesel engine

TL;DR: In this paper, a vibration-based fault diagnostic method is developed to identify the vital components of a diesel engine that have abnormal clearance by inspecting the timing of impacts created by the components that had abnormal clearance during operation.
Journal ArticleDOI

An optimized time varying filtering based empirical mode decomposition method with grey wolf optimizer for machinery fault diagnosis

TL;DR: Simulations and comparisons highlight the performance of TVF-EMD method for signal decomposition, and meanwhile verify the fact that bandwidth threshold and B-spline order are critical to the decomposition results.
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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