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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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Journal ArticleDOI

EMD-based random decrement technique for modal parameter identification of an existing railway bridge

TL;DR: In this article, an EMD-based random decrement (RD) technique is presented to identify modal parameters from monitoring vibrational data, where the nonstationary measurement data are first decomposed into a series of quasi-stationary intrinsic mode functions (IMFs) by EMD and then applied to the selected IMFs to obtain the free-decay response.
Journal ArticleDOI

Hybrid Variational Mode Decomposition and evolutionary robust kernel extreme learning machine for stock price and movement prediction on daily basis

TL;DR: The prediction analysis illustrated in this work proves the superiority of the VMD-RKELM model over the other predictive methods.
Journal ArticleDOI

Internal Leakage Detection in Hydraulic Actuators Using Empirical Mode Decomposition and Hilbert Spectrum

TL;DR: The applicability of Hilbert-Huang transform (HHT) for internal leakage detection in valve-controlled hydraulic actuators is investigated and the root mean square of the instantaneous amplitude associated with the first IMF establishes feature patterns that can be effectively used to detect internal leakage and its severity.
Journal ArticleDOI

Identifying the oil price-macroeconomy relationship: An empirical mode decomposition analysis of US data

TL;DR: In this paper, the authors employed the empirical mode decomposition (EMD) method to filter cyclical components of US quarterly gross domestic product (GDP) and quarterly average oil price (WTI).
Journal ArticleDOI

The Long-term Variation of Extreme Heavy Precipitation and Its Link to Urbanization Effects in Shanghai during 1916-2014

TL;DR: Wang et al. as mentioned in this paper analyzed the long-term variation of extreme heavy precipitation in Shanghai on multiple spatial and temporal scales, and the effects of urbanization on hourly rainstorms.
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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