The handling of signal using fast wavelet transform (FWT) to supercomputing in MATLAB.
Keywords:
Фурье преобразование, вейвлет-преобразование, обработка сигнала, фильтр, удаление шума, компрессия, сжатие, сглаживание, суперкомпьютер, оценка шума вейвлет-коэффициентов, MATLABAbstract
In the work the theoretical and practical problems of signal processing a concidered. With the help of wavelet filters and of wavelet-packet in MATLAB the signals of scaling’s, decompositions of low frequency and high frequency components and the coefficients of approximations by wavelet-development to approximating and detailing coefficients spreading’s. The detailing coefficients non-analyze. With the help of ideals filters a signals to restored. The noise to remove and we have compressive dates. Compute the entropy of signals and pressure and smoothing and estimation of noise wavelet-coefficients signals. These date processing to conduct to supercomputing in MATLAB.References
[1] Воробьев В.И., Грибунин В.Г. Теория и практика вейвлет-преобразования. – С.-
Петербург: Военный университет связи, 1999. - 204 с.
[2] Смоленцев Н.К. Основы теории вейвлетов. Вейвлеты в MATLAB. Издание второе, дополненное и переработанное. – М.: ДМК Пресс, 2005. - 304 с.
[3] Kanat Shakenov The solution of the initial mixed boundary value problem for hiperbolic equations by Monte Carlo and probability difference methods. / Abstract. International Conference "Fourier Analysis and Pseudo-Differential Operators". – Helsinki, 2012. – P. 49.
[4] Sergey Tikhonov Measures of smoothness and Fourier transforms. / Abstract. International Conference "Fourier Analysis and Pseudo-Differential Operators". – Helsinki, 2012. – P. 51.
[5] Jasson Vindas Tauberian class estimates for wavelet and non-wavelet transforms of vector-valued distributions. / Abstract. International Conference "Fourier Analysis and Pseudo-Differential Operators". – Helsinki, 2012. – P. 53.
[6] Patrik Wahlberg The global wave front set and the short-time Fourier transform./Abstract. International Conference "Fourier Analysis and Pseudo-Differential Operators". – Helsinki, 2012. – P. 54.
Петербург: Военный университет связи, 1999. - 204 с.
[2] Смоленцев Н.К. Основы теории вейвлетов. Вейвлеты в MATLAB. Издание второе, дополненное и переработанное. – М.: ДМК Пресс, 2005. - 304 с.
[3] Kanat Shakenov The solution of the initial mixed boundary value problem for hiperbolic equations by Monte Carlo and probability difference methods. / Abstract. International Conference "Fourier Analysis and Pseudo-Differential Operators". – Helsinki, 2012. – P. 49.
[4] Sergey Tikhonov Measures of smoothness and Fourier transforms. / Abstract. International Conference "Fourier Analysis and Pseudo-Differential Operators". – Helsinki, 2012. – P. 51.
[5] Jasson Vindas Tauberian class estimates for wavelet and non-wavelet transforms of vector-valued distributions. / Abstract. International Conference "Fourier Analysis and Pseudo-Differential Operators". – Helsinki, 2012. – P. 53.
[6] Patrik Wahlberg The global wave front set and the short-time Fourier transform./Abstract. International Conference "Fourier Analysis and Pseudo-Differential Operators". – Helsinki, 2012. – P. 54.
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Computational Mathematics and mathematical modeling
