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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

A New Algorithm for Multicomponent Signals Analysis Based on SynchroSqueezing: With an Application to Signal Sampling and Denoising

TL;DR: This paper addresses the problem of the retrieval of the components from a multicomponent signal using ideas from the synchrosqueezing framework and proposes a novel algorithm based first on the detection of components followed by their reconstruction.
Journal ArticleDOI

A variational mode decompoisition approach for analysis and forecasting of economic and financial time series

TL;DR: A new time series forecasting model which integrates VMD and general regression neural network (GRNN) is presented to demonstrate the superiority of the VMD-GRNN method over the three competing prediction approaches.
Journal ArticleDOI

Fluid–structure interaction of a square cylinder at different angles of attack

TL;DR: In this paper, the authors investigated the free transverse flow-induced vibration (FIV) of an elastically mounted low-mass-ratio square cylinder in a free stream, at three different incidence angles: α = 0, 20, and 45.
Journal ArticleDOI

Multifractal analysis of financial markets

TL;DR: In this article, the authors survey the cumulating evidence for the presence of multifractality in financial time series in different markets and at different time periods and discuss the sources of multifractality.
Journal ArticleDOI

Partly ensemble empirical mode decomposition: An improved noise-assisted method for eliminating mode mixing

TL;DR: A partly ensemble EMD (PEEMD) method is proposed to resolve the mode mixing problem and can eliminate the residue noise in the IMFs effectively and generates IMFs with better performance, and represents a sound improvement over the original EMD, EEMD and CEEMD.
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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