Journal ArticleDOI
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Norden E. Huang,Zheng Shen,Steven R. Long,Man-Li C. Wu,Hsing H. Shih,Quanan Zheng,Nai-Chyuan Yen,C. C. Tung,Henry H. Liu +8 more
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...read more
Citations
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A modified empirical mode decomposition (EMD) process for oscillation characterization in control loops
TL;DR: In this article, a modified empirical mode decomposition (EMD) process is used to uncover all the zero-crossings in the data and characterizes the following attributes of oscillations: (i) non-constant mean, (ii) time instances when the oscillations are present, (iii) strength of the oscillation at different times, (iv) time period of each sweep of oscillation.
Journal ArticleDOI
Assessing spatiotemporal variation of drought and its impact on maize yield in Northeast China
TL;DR: Wang et al. as mentioned in this paper analyzed the impact of drought on maize yield loss in Northeast China in current and future climate scenarios, the Composite Meteorological Drought Index (CI) is introduced to reconstruct the following drought indicators: drought accumulative days (DAD), DAD accumulative intensity (DAI), and consecutive drought days (CDD).
Journal ArticleDOI
Toward a Fundamental Understanding of the Hilbert-Huang Transform in Nonlinear Structural Dynamics:
TL;DR: In this article, a slow-flow reduced-order model is established by performing a partition between slow and fast dynamics using the complexification-averaging technique in order to derive a dynamical system described by slowly-varying amplitudes and phases.
Journal ArticleDOI
On practical challenges of decomposition-based hybrid forecasting algorithms for wind speed and solar irradiation
Yamin Wang,Lei Wu +1 more
TL;DR: The approximated forecasting model based on EMD is proposed to mitigate the challenges and achieve better forecasting results than existing EMD-based forecasting algorithms and the non-decomposition based forecasting models on practical wind speed and solar irradiation forecasting cases.
Journal ArticleDOI
Long‐term prediction of precipitation and hydrologic extremes with nonstationary oscillation processes
Taesam Lee,Taha B. M. J. Ouarda +1 more
TL;DR: In this paper, nonstationary oscillations of certain time series are extracted using a decomposition analysis called the empirical mode decomposition (EMD), which can then be used to predict the future system evolution.
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
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.
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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