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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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Citations
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Journal ArticleDOI

Flutter and post-flutter constraints in aircraft design optimization

TL;DR: The methods for flutter analysis in the context of aircraft design optimization are reviewed and methods for predicting post-flutter limit cycle oscillations due to the increasing impact of nonlinear effects on future aircraft are included.
Journal ArticleDOI

An improved method for restraining the end effect in empirical mode decomposition and its applications to the fault diagnosis of large rotating machinery

TL;DR: In this article, an improved slope-based method (ISBM) is proposed to restrain the end effect in empirical mode decomposition (EMD) for non-stationary, nonlinear time series.
Journal ArticleDOI

Smart wind speed forecasting approach using various boosting algorithms, big multi-step forecasting strategy

TL;DR: All of the proposed hybrid models have better performance than the corresponding single forecasting models in the big multi-step predictions in the proposed new hybrid WPD-Boost-ENN-WPF framework.
Journal ArticleDOI

Empirical mode decomposition: a novel technique for the study of tremor time series

TL;DR: The application of the empirical mode decomposition (EMD) and Hilbert spectrum (HS), which are relatively new DSP techniques for the analysis of nonlinear and nonstationary time-series, for the study of tremor showed that the EMD could automatically decompose acquired signals into basic components, called intrinsic mode functions (IMFs), representing tremorous and voluntary activity.

Statistical significance test of intrinsic mode functions

TL;DR: The characteristics of Gaussian white noise are studied by using the empirical mode decomposition (EMD) method and these methods are applied to well-studied geophysical datasets to demonstrate the method’s validity and effectiveness.
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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