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Precision analysis of wavelet processing of aerodynamic flow patterns
T. V. Zakharovaab, O. V. Shestakovab a Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, M. V. Lomonosov Moscow State University, 1-52 Leninskiye Gory, GSP-1, Moscow 119991, Russian Federation
b Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
Abstract:
This paper is devoted to a new method of aerodynamic flow pattern processing based on the wavelet analysis. Wavelet thresholding techniques are widely used in signal and image processing. These methods are easily implemented through fast algorithms; so, they are very appealing in practical situations. Besides, they adapt to function classes with different amounts of smoothness in different locations more effectively than the usual linear methods. Wavelet thresholding risk analysis is an important practical task, because it allows determining the quality of the techniques themselves and the equipment which is being used. Comparative analysis using the discriminant method was carried out to verify the new method. The empirical estimated error of processing is consistent with theoretical results for this estimate.
Keywords:
wavelet analysis; thresholding; unbiased risk estimate; aerodynamic flow.
Received: 07.05.2016
Citation:
T. V. Zakharova, O. V. Shestakov, “Precision analysis of wavelet processing of aerodynamic flow patterns”, Inform. Primen., 10:3 (2016), 46–54
Linking options:
https://www.mathnet.ru/eng/ia431 https://www.mathnet.ru/eng/ia/v10/i3/p46
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Statistics & downloads: |
Abstract page: | 243 | Full-text PDF : | 99 | References: | 49 | First page: | 2 |
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