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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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State-of-the-Art Review on Modal Identification and Damage Detection of Bridges by Moving Test Vehicles

TL;DR: Yang et al. as discussed by the authors proposed the use of a passing vehicle to scan the bridge frequencies to estimate the bridge frequency from the dynamic response of a moving vehicle, which is referred to as the indirect method for bridge measurement.
Journal ArticleDOI

Performance and limitations of the Hilbert–Huang transformation (HHT) with an application to irregular water waves

TL;DR: In this article, a simple parameter study with trigonometric functions to get an idea about the numerical performance of the empirical mode decomposition (EMD) is performed, and the main results of estimating relative standardized errors made between analytically exact defined sine waves and disintegrated intrinsic functions as well as their specific influence on each other are determined.
Journal ArticleDOI

Embodied Meter: Hierarchical Eigenmodes in Music-Induced Movement

TL;DR: In this article, the authors investigate how pulsations on different metrical levels manifest in music-induced movement, and they find that the metric structure of music is encoded in these movements.
Journal ArticleDOI

Random noise attenuation by f-x empirical mode decomposition predictive filtering

TL;DR: In this paper, the authors developed a novel denoising method termed fx empirical-mode decomposition (EMD) predictive filtering, which solved the problem that makes fx predictive filtering ineffective with complex seismic data.
Journal ArticleDOI

Physical interpretation of independent component analysis in structural dynamics

TL;DR: In this article, the relation between the vibration modes of mechanical systems and the modes computed through a blind source separation technique called independent component analysis (ICA) was investigated for free and random vibrations of weakly damped systems.
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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