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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

Multivariate EMD and full spectrum based condition monitoring for rotating machinery

TL;DR: In this paper, the authors proposed a method of extracting fault information by employing multivariate EMD and full spectrum, which can overcome the limitations of standard EMD when dealing with data from multiple sources.
Journal ArticleDOI

Complete ensemble empirical mode decomposition hybridized with random forest and kernel ridge regression model for monthly rainfall forecasts

TL;DR: In this article, the authors proposed a hybrid CEEMD-RF-KRR model for forecasting rainfall at Gilgit, Muzaffarabad, and Parachinar in Pakistan at monthly time scale.
Journal ArticleDOI

Spatial and Temporal Variations of PM2.5 and Its Relation to Meteorological Factors in the Urban Area of Nanjing, China.

TL;DR: The spatial distribution result shows that the Maigaoqiao site suffered the most serious pollution, and PM2.5 was found to exhibit a reversed relation with wind speed, relative humidity, and precipitation.
Journal ArticleDOI

Improved Hilbert-Huang transform based weak signal detection methodology and its application on incipient fault diagnosis and ECG signal analysis

TL;DR: Results of analyzing synthetic signal, incipient rotor imbalance fault of Bently test-rig and weak electrocardiogram (ECG) signal show that the improved HHT combined with wavelet analysis have excellent weak signal detecting performance whilst achieving robustness against low signal-to-noise ratio (SNR).
Journal ArticleDOI

An improved complementary ensemble empirical mode decomposition with adaptive noise and its application to rolling element bearing fault diagnosis.

TL;DR: Comparisons illustrate the superiority of SP over kurtosis for selecting the sensitive mode from the resulted signal of CCEEMEDAN and over two other popular signal-processing methods, variational mode decomposition and fast kurtogram.
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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