Computer Optics
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


Computer Optics:
Year:
Volume:
Issue:
Page:
Find




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

Computer Optics, 2018, Volume 42, Issue 5, Pages 904–911
DOI: https://doi.org/10.18287/2412-6179-2018-42-5-904-911 (Mi co575) 		 
This article is cited in 5 scientific papers (total in 5 papers)

NUMERICAL METHODS AND DATA ANALYSIS

Discrete orthogonal transforms with bases generated by self-similar sequences

V. M. Chernovab

a Samara National Research University, Moskovskoye shosse, 34, 443086, Samara, Russia
b IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia
Full-text PDF (377 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.18287/2412-6179-2018-42-5-904-911
Abstract: New bases of discrete orthogonal transforms associated with some recursive processes and possessing a property of self-similarity are introduced and investigated in the paper. Sufficient conditions of orthogonality of a system of basic functions are proved. For transforms with the introduced bases, fast algorithms of the transforms are synthesized. The relationship between the considered bases and the analytic properties of generating Dirichlet series is discussed.
Keywords: discrete orthogonal transformations, self-similarity, generating Dirichlet series.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 16-41-630676_ð_à
18-29-03135_ ìê
This work was partly funded by the RF Ministry of Science and Higher Education under the state contract of FSRC «Crystallography and Photonics» RAS ("Discrete orthogonal transforms (DOT)") and the Russian Foundation for Basic Research under grants 16-41-630676_ð_à and 18-29-03135_ ìê ("Fast algorithms of DOT").
Received: 15.08.2018
Accepted: 16.09.2018
Document Type: Article
Language: Russian
Citation: V. M. Chernov, “Discrete orthogonal transforms with bases generated by self-similar sequences”, Computer Optics, 42:5 (2018), 904–911
Citation in format AMSBIB
\Bibitem{Che18}
\by V.~M.~Chernov
\paper Discrete orthogonal transforms with bases generated by self-similar sequences
\jour Computer Optics
\yr 2018
\vol 42
\issue 5
\pages 904--911
\mathnet{http://mi.mathnet.ru/co575}
\crossref{https://doi.org/10.18287/2412-6179-2018-42-5-904-911}
Linking options:
  • https://www.mathnet.ru/eng/co575
  • https://www.mathnet.ru/eng/co/v42/i5/p904
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Computer Optics
    Statistics & downloads:
    Abstract page:237
    Full-text PDF :68
    References:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024