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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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Journal ArticleDOI

An enhanced empirical wavelet transform for noisy and non-stationary signal processing

TL;DR: This method takes advantage of the waveform in the frequency domain of a signal to eliminate drawbacks of the EWT method in the spectrum segmentation and obtains a perfect segmentation in decomposing noisy and non-stationary signals.
Journal ArticleDOI

Spatial heterogeneity of the relationship between vegetation dynamics and climate change and their driving forces at multiple time scales in Southwest China

TL;DR: Wang et al. as discussed by the authors revealed the spatial heterogeneity of vegetation dynamics and its relationship with climate change at multiple time scales in Southwest China during 1982-2015, and showed that the impact of climate change on vegetation dynamics was greater than that of human activities.
Journal ArticleDOI

Ice core evidence for significant 100‐year regional warming on the Antarctic Peninsula

TL;DR: Thomas et al. as mentioned in this paper presented a new 150-year, high-resolution, stable isotope record (delta O-18) from the Gomez ice core, drilled on the data sparse south western Antarctic Peninsula, revealing a similar to 2.7 degrees C rise in surface temperatures since the 1950s.
Journal ArticleDOI

Soil water prediction based on its scale-specific control using multivariate empirical mode decomposition

TL;DR: In this paper, the authors applied multivariate empirical mode decomposition (MEMD) to reveal scale-specific control of soil water storage and water content in two different periods (recharge and discharge).
Journal ArticleDOI

Rolling Element Fault Diagnosis Based on VMD and Sensitivity MCKD

TL;DR: In this article, a novel fault diagnosis method based on variational mode decomposition (VMD) and maximum correlation kurtosis deconvolution (MCKD) was proposed for rolling elements of rolling bearings.
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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