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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

Single-Mixture Audio Source Separation by Subspace Decomposition of Hilbert Spectrum

TL;DR: A novel technique is developed to separate the audio sources from a single mixture based on decomposing the Hilbert spectrum of the mixed signal into independent source subspaces and the inverse transformation is applied.
Journal ArticleDOI

The time-dependent intrinsic correlation based on the empirical mode decomposition

TL;DR: The TDIC represents a major advance in statistical analysis of data from nonlinear and nonstationary processes and uses a set of the sliding window sizes for the computation of the running correlation coefficients for multi-scale data.
Journal ArticleDOI

EMD-Based Filtering (EMDF) of Low-Frequency Noise for Speech Enhancement

TL;DR: An empirical mode decomposition-based filtering (EMDF) approach is presented as a postprocessing stage for speech enhancement and is able to suppress residual noise from speech signals that were enhanced by the conventional optimally modified log-spectral amplitude approach.
Journal ArticleDOI

A review of the key technologies for sEMG-based human-robot interaction systems

TL;DR: A detailed review of the key technologies related to the use of sEMG signals in human-robot interaction systems (HRISs) and the bottlenecks hindering the application are discussed.
Journal ArticleDOI

A Carbon Price Forecasting Model Based on Variational Mode Decomposition and Spiking Neural Networks

TL;DR: Simulation results and analysis suggest that the proposed VMD-SNN forecasting model outperforms conventional models in terms of forecasting accuracy and reliability.
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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