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Variational Approach in Wavelet Framework to Polynomial Approximations of Nonlinear Accelerator Problems [PDF]
In this paper we present applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. According to variational approach in the general case we have the solution as a multiresolution (multiscales)
Fedorova, Antonina N. +2 more
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In a power system, the analysis of transient signals is the theoretical basis of fault diagnosis and transient protection theory. Shannon wavelet entropy (SWE) and Shannon wavelet packet entropy (SWPE) are powerful mathematics tools for transient signal ...
Jikai Chen +3 more
doaj +1 more source
Wavelet transforms and their applications to MHD and plasma turbulence: a review
Wavelet analysis and compression tools are reviewed and different applications to study MHD and plasma turbulence are presented. We introduce the continuous and the orthogonal wavelet transform and detail several statistical diagnostics based on the ...
Farge, Marie, Schneider, Kai
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A wavelet analysis of the Rosenblatt process: chaos expansion and estimation of the self-similarity parameter [PDF]
By using chaos expansion into multiple stochastic integrals, we make a wavelet analysis of two self-similar stochastic processes: the fractional Brownian motion and the Rosenblatt process.
Abry +33 more
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Nonhomogeneous Wavelet Systems in High Dimensions [PDF]
It is of interest to study a wavelet system with a minimum number of generators. It has been showed by X. Dai, D. R. Larson, and D. M. Speegle in [11] that for any $d\times d$ real-valued expansive matrix M, a homogeneous orthonormal M-wavelet basis can ...
Han, Bin
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This review paper is intended to give a useful guide for those who want to apply discrete wavelets in their practice. The notion of wavelets and their use in practical computing and various applications are briefly described, but rigorous proofs of ...
Dremin, I. M. +2 more
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WaveConstLib: A java library for signal analysis and wavelet construction
Wavelet theory (WT) is essential for analyzing non-stationary signals, particularly in real-world applications requiring time-frequency analysis. A key challenge is to identify the optimal wavelet function that matches signal characteristics, enabling ...
Çağla Sarvan Cibil, Nalan Özkurt
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Wavelet design by means of multi-objective GAs for motor imagery EEG analysis [PDF]
Wavelet-based analysis has been broadly used in the study of brain-computer interfaces (BCI), but in most cases these wavelet functions have not been designed taking into account the requirements of this field.
Asensio-Cubero, J +3 more
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A wavelet selection scheme in underwater discharge signal analysis
The analysis of underwater discharge signals is of great significance for its application. Wavelet-based de-noising and analysis technology is an effective means to study underwater discharge signals.
Xiaobing Zhang, Binjie Lu, Liang Qiao
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Classification of Epileptic EEG Signals by Wavelet based CFC
Electroencephalogram, an influential equipment for analyzing humans activities and recognition of seizure attacks can play a crucial role in designing accurate systems which can distinguish ictal seizures from regular brain alertness, since it is the ...
Ahmadi, Amirmasoud +3 more
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