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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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An islanding detection algorithm for distributed generation based on Hilbert–Huang transform and extreme learning machine

TL;DR: In this article, the authors proposed an approach based on Hilbert-Huang transform (HHT) and Extreme learning machine (ELM) to detect an islanding condition in a distribution system with distributed generations (DGs).
Journal ArticleDOI

Specific Emitter Identification Based on Deep Residual Networks

TL;DR: A novel SEI algorithm using deep learning architecture that combines high information integrity with low complexity, which outperforms previous studies in the literature and has the capability of adapting to signals collected under various conditions.
Journal ArticleDOI

Various epileptic seizure detection techniques using biomedical signals: a review.

TL;DR: This review paper is to present state-of-the-art methods and ideas that will lead to valid future research direction in the field of seizure detection as time, frequency, wavelet, empirical mode decomposition and rational function techniques.
Journal ArticleDOI

Quantitative evaluation of orientation-specific damage using elastic waves and probability-based diagnostic imaging

TL;DR: In this paper, the influence of damage orientation on Lamb wave propagation was quantitatively scrutinised based on the established correlation between damage parameters (location, orientation, shape and size) and extracted signal features, in conjunction with use of an active sensor network in conformity to a pulse-echo configuration.
Journal ArticleDOI

The Application of Hilbert-Huang Transforms to Meteorological Datasets

TL;DR: In this paper, the Hilbert-Huang transform is used to detect synoptic and climatic features from aperiodic and nonlinear signals, such as the passage of extratropical cyclones, fronts and troughs.
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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