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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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Citations
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Journal ArticleDOI

Temporal pattern attention for multivariate time series forecasting

TL;DR: TPA-LSTM as discussed by the authors uses a set of filters to extract time-invariant temporal patterns, similar to transforming time series data into its "frequency domain" and then proposes a novel attention mechanism to select relevant time series, and use its frequency domain information for multivariate forecasting.
Proceedings ArticleDOI

Device-free gesture tracking using acoustic signals

TL;DR: This paper proposes LLAP, a device-free gesture tracking scheme that can be deployed on existing mobile devices as software, without any hardware modification, and implemented and evaluated LLAP using commercial-off-the-shelf mobile phones.
Journal ArticleDOI

System identification of linear structures based on Hilbert–Huang spectral analysis. Part 2: Complex modes

TL;DR: In this paper, a method based on the Hilbert-Huang spectral analysis was proposed to identify general linear structures with complex modes using the free vibration response data polluted by noise, where measured response signals are first decomposed into modal responses using the method of empirical mode decomposition with intermittency criteria.
Journal ArticleDOI

Empirical mode decompositions as data-driven wavelet-like expansions

TL;DR: The experimental spectral analysis and statistical characterization of the obtained modes reveal an equivalent filter bank structure which shares most properties of a wavelet decomposition in the same context, in terms of self-similarity, quasi-decorrelation and variance progression.
Journal ArticleDOI

Wavelet Transforms for System Identification in Civil Engineering

TL;DR: In this article, the authors discuss the impact of end effects on wavelet transforms in the context of the wavelet's multi-resolution character and include guidelines for selection of wavelet central frequencies, highlighting their role in complete modal separation.
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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