Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/into431
  • https://www.mathnet.ru/eng/into/v160/p126
    • This publication is cited in the following 1 articles:
    1. Yu. A. Farkov, “Freimy v analize Uolsha, matritsy Adamara i ravnomerno raspredelennye mnozhestva”, Materialy 20 Mezhdunarodnoi Saratovskoi zimnei shkoly «Sovremennye problemy teorii funktsii i ikh prilozheniya», Saratov, 28 yanvarya — 1 fevralya 2020 g.  Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 199, VINITI RAN, M., 2021, 17–30  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:775
    Full-text PDF :635
    References:84
    First page:51
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025