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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

Bivariate Empirical Mode Decomposition

TL;DR: The empirical mode decomposition is extended to bivariate time series that generalizes the rationale underlying the EMD to the bivariate framework and is designed to extract zero-mean rotating components.
Journal ArticleDOI

A review of vibration-based techniques for helicopter transmission diagnostics

TL;DR: Emerging research trends suggest that improvements in signal processing, sensor development and individual-tooth mesh waveform modelling could improve the performance of current and future helicopter transmission diagnostics.
Journal ArticleDOI

Aerosol and boundary-layer interactions and impact on air quality

TL;DR: In this article, the authors review the major advances in aerosol measurements, PBL processes and their interactions with each other through complex feedback mechanisms, and highlight the priorities for future studies.
Journal ArticleDOI

Applications of Hilbert–Huang transform to non-stationary financial time series analysis

TL;DR: The Hilbert-Huang Transform (HHT) was originally developed for natural and engineering sciences and has now been applied to financial data as mentioned in this paper, where the first step is the EMD, with which any complicated data set can be decomposed into a finite and often small number of intrinsic mode functions (IMF).
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Bearing fault diagnosis using FFT of intrinsic mode functions in Hilbert-Huang transform

TL;DR: In this paper, a Hilbert-Huang Transform (HHT) based time domain approach for bearing vibration signature analysis is proposed for bearing bearing vibration analysis and its efficiency is evaluated.
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.
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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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