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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

Natural computing for mechanical systems research: A tutorial overview

TL;DR: The current paper is intended as a tutorial overview of the basic theory of some of the most common methods of natural computing as they are applied in the context of mechanical systems research.
Journal ArticleDOI

Epileptic seizure classification in EEG signals using second-order difference plot of intrinsic mode functions

TL;DR: It has been shown that the feature space formed using ellipse area parameters of first and second IMFs has given good classification performance and will be used for classification of ictal and seizure-free EEG signals using the artificial neural network (ANN) classifier.
Journal ArticleDOI

Planetary gearbox fault diagnosis using an adaptive stochastic resonance method

TL;DR: In this paper, an adaptive stochastic resonance (ASR) method was proposed for fault diagnosis of planetary gearboxes, which utilizes the optimization ability of ant colony algorithms and adaptively realizes the optimal stochastically resonance system matching input signals.
Journal ArticleDOI

Enabling Health Monitoring Approach Based on Vibration Data for Accurate Prognostics.

TL;DR: A new approach for feature extraction/selection based on trigonometric functions and cumulative transformation, and the selection is performed by evaluating feature fitness using monotonicity and trendability characteristics, which is applied to the time-frequency analysis of nonstationary signals using a discrete wavelet transform.
Journal ArticleDOI

Time-frequency representations of Lamb waves.

TL;DR: The utility of using TFRs to quantitatively resolve changes in the frequency content of these nonstationary signals, as a function of time, is illustrated.
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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