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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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An analysis-forecast system for uncertainty modeling of wind speed: A case study of large-scale wind farms

TL;DR: In this article, an analysis-forecast system that includes an analysis module and a forecast module and can provide appropriate scenarios for the dispatching and scheduling of a power system is devised; this system superior to those presented in previous studies.
Journal ArticleDOI

Image empirical mode decomposition: a new tool for image processing

TL;DR: This study gives an overview of the state-of-the-art methods to decompose an image into a number of IMFs and a residue image with a minimum number of extrema points, together with the use of the method.
Journal ArticleDOI

Oscillatory processes in solar flares

TL;DR: In this paper, the authors demonstrate that a promising novel method for their analysis is the empirical mode decomposition technique, which can be used to detect quasi-periodic pulsations (QPPs).
Journal ArticleDOI

Singular Spectrum Analysis for Effective Feature Extraction in Hyperspectral Imaging

TL;DR: A fast implementation of SSA (F-SSA) is proposed for efficient feature extraction in HSI that only needs one SVD applied to a representative pixel of the HSI hypercube, and the overall computational complexity has been significantly reduced.
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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