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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 160, Pages 126–136 (Mi into431)  
This article is cited in 1 scientific paper (total in 1 paper)

Discrete wavelet transforms in Walsh analysis

Yu. A. Farkov

Russian Academy of National Economy and Public Administration under the President of the Russian Federation, Moscow
Full-text PDF (282 kB) Citations (1)
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Abstract: A review of discrete wavelet transforms defined through Walsh functions and used for image processing, compression of fractal signals, analysis of financial time series, and analysis of geophysical data is presented. Relationships of the discrete transformations considered with wavelet bases recently constructed and frames on the Cantor and Vilenkin groups are noted.
Keywords: Walsh functions, Haar system, Weierstrass function, wavelet, frame, zero-dimensional group, discrete transformation, image processing, signal coding, analysis of geophysical data.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 257, Issue 1, Pages 127–137
DOI: https://doi.org/10.1007/s10958-021-05476-2
Bibliographic databases:
Document Type: Article
UDC: 517.518, 621.391
MSC: 42C40, 65T60
Language: Russian
Citation: Yu. A. Farkov, “Discrete wavelet transforms in Walsh analysis”, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 160, VINITI, Moscow, 2019, 126–136; J. Math. Sci. (N. Y.), 257:1 (2021), 127–137
Citation in format AMSBIB
\Bibitem{Far19}
\by Yu.~A.~Farkov
\paper Discrete wavelet transforms in Walsh analysis
\inbook Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17,
St. Petersburg Polytechnic University, July 24-28, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 160
\pages 126--136
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into431}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3981837}
\zmath{https://zbmath.org/?q=an:1470.42063}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 257
\issue 1
\pages 127--137
\crossref{https://doi.org/10.1007/s10958-021-05476-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85111523717}
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