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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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Use of intrinsic modes in biology: Examples of indicial response of pulmonary blood pressure to ± step hypoxia

TL;DR: This method is especially suitable to analyze the variation of one biological variable with respect to changes of another variable, illustrated by the change of the pulmonary blood pressure in response to a step change of oxygen concentration in the gas that an animal breathes.
Journal ArticleDOI

Identification of sand and dust storm source areas in Iran

TL;DR: In this paper, the authors developed a new approach to identify SDS source areas in Iran using a combination of nine related datasets, namely drought events, temperature, precipitation, location of sandy soils, SDS frequency, human-induced soil degradation (HISD), human influence index (HII), rain use efficiency (RUE) and net primary productivity (NPP) loss.
Journal ArticleDOI

The Sliding Singular Spectrum Analysis: A Data-Driven Nonstationary Signal Decomposition Tool

TL;DR: New theoretical and practical results about the separability of the SSA are presented and a new method called sliding SSA is introduced, which provides better results than the classical SSA method when analyzing nonstationary signals with a time-varying number of components.
Journal ArticleDOI

Identification of time-varying cable tension forces based on adaptive sparse time-frequency analysis of cable vibrations

TL;DR: In this paper, an adaptive sparse time-frequency analysis method was proposed to estimate the cable tension forces in real-time with the change of the moving vehicle loads and environmental effects, and this continual variation in tension force may cause fatigue damage of a cable.
Journal ArticleDOI

Tunable-Q Wavelet Transform Based Multivariate Sub-Band Fuzzy Entropy with Application to Focal EEG Signal Analysis

TL;DR: The complexity of multivariate electroencephalogram (EEG) signals in different frequency scales is analyzed for the analysis and classification of focal and non-focal EEG signals and the proposed multivariate sub-band entropy measure has been built based on tunable-Q wavelet transform (TQWT).
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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