logo
calendar10 Yanvar 2020
view52
Main language:English

Application of wavelets for forming discrete selections of continuous signals

Field of Science:
pdf

5e187684cce61.pdf

PDF

ARTICLE ANNOTATION

quote
Abstract: The paper deals with theory questions, as well as examples of calculations based on modern basis functions with compact carriers for solving problems of forming discrete samples of continuous signals with finite energy. The method is based on the law of asymptotic attenuation of the values of the wavelet coefficient moduli to zero as n → ∞, and the speed of their motion to zero depends on the choice of the wavelet. This method can be defined as the summation of the octave energy components of the coefficients of fast wavelet transformations with the binary law of decreasing sampling steps

AUTHORS

H.Zaynidinov

Department of Information Technology, Tashkent University of Information Technologies, Uzbekistan

M.Zaynutdinova

Department of Information Technology, Tashkent University of Information Technologies, Uzbekistan

I.Yusupov

Department of Information Technology, Tashkent University of Information Technologies, Uzbekistan

Tags

# sample# : basic function# compact carrier# wavelet# wavelet transform# fast algorithm

OTHER ARTICLES IN THIS JOURNAL

Rate Article

0
0 ratings
5
4
3
2
1

Article Identifiers

References

1. Blatter K. Wavelet analysis. Fundamentals of the theory. M.: The technosphere. 2006. 272 p. 2. Ahmed N, Rao K. Orthogonal transformations in the processing of digital signals. Trans. with English. M.: Communication. 1980. 248 p. 3. Dremin IM, Ivanov OV, Nechitailo VA Wavelets and their use. Uspekhi Fizicheskikh Nauk. T.171. 2001. № 5. p.465-501. 4. Novikov A.K. Polyspectral analysis. - SPb.: Central Research Institute of Krylov, 2000, -162 p. 5. Svinyin S.F. Theory and methods of forming samples of signals with infinite spectra. -Spb.: Nauka, 2016. -71с. 6. Hakimjon Zayniddinov, Madhusudan Singh, Dhananjay Singh Polynomial Splines for Digital Signal and Systems (Monograph in English). LAMBERT Academic publishing, Germany, 2016 year, 208 p. 7. Zainidinov H.N. Methods and means of signal processing in piecewise polynomial bases. Monograph. Tashkent - "Fan technology" - 2014, 190 p. 8. Zaynidinov H.N., Dannanjay Singh, Hoon Jae Lee. Piecewise-quadratic Harmut basis function and their applications to problems in digital signal processing. International Journal of Communication Systems, John Wiley & Sons, Ltd., DOI: 10.1002 / dac.1093, Jan. 2010. London, SCI-E. www.interscience.wiley.com 9. S. Malla. "Wavelets in signal processing".Moscow. "Peace". 2005