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Zharkikh A.A.

Images processing based on wavelet transformation in Haar basis over Galois field

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Abstract. The task of parametric estimation of the spectral density with a high resolution on the basis of the linear dynamic model has been put and solved in the paper. The high resolution of the method has been obtained due to extrapolation of the process autocorrelation function throughout the number axis. The estimations of necessary dynamic parameters of the process (frequency and factors of fading) have been performed using the current measured data. The received spectral estimations are being expressed by simple analytical formulae and allow to interpret the results of spectral estimations at meaningful level. The methodics gives an opportunity to obtain individual spectral estimations automatically for any frequency, this is rather useful for more delicate research of the process structure.

Keywords: the multiscale analysis, wavelets, finite fields, images processing

Printed reference: Zharkikh A.A. Images processing based on wavelet transformation in Haar basis over Galois field // Vestnik of MSTU. 2009. V. 12, No 2. P. -.

Electronic reference: Zharkikh A.A. Images processing based on wavelet transformation in Haar basis over Galois field // Vestnik of MSTU. 2009. V. 12, No 2. P. -. URL: http://vestnik.mstu.edu.ru/v12_2_n35/articles/03_zhar.pdf.

(In Russian, p.5, fig. 4, ref 6, Adobe PDF)