Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 2, Pages 62–65 (Mi vmumm485)  
This article is cited in 2 scientific papers (total in 2 papers)

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Finite-memory digital filters based on polynomial approximation

V. V. Tikhomirov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (192 kB) Citations (2)
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Abstract: Digital filters based on polynomial approximation are used to estimate the low-frequency component of a broadband signal and its derivatives. The simplest digital filter is an arithmetical mean algorithm. The filter properties important for applications are associated with the types of transfer functions. Explicit formulas are given for the transfer functions of such filters used to estimate the constant component of an input signal and its first and second derivatives for the second- and third-degree polynomial approximation.
Key words: random sequence, polynomial approximation, least-squares method, finite-memory digital filter, weight function, transfer function, frequency domain.
Funding agency Grant number
Russian Foundation for Basic Research 11-08-00004а
Received: 17.06.2011
English version:
Moscow University Mechanics Bulletin, 2012, Volume 67, Issue 2, Pages 46–48
DOI: https://doi.org/10.3103/S0027133012020057
Bibliographic databases:
Document Type: Article
UDC: 519.218.22
Language: Russian
Citation: V. V. Tikhomirov, “Finite-memory digital filters based on polynomial approximation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 2, 62–65; Moscow University Mechanics Bulletin, 67:2 (2012), 46–48
Citation in format AMSBIB
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\by V.~V.~Tikhomirov
\paper Finite-memory digital filters based on polynomial approximation
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 2
\pages 62--65
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\transl
\jour Moscow University Mechanics Bulletin
\yr 2012
\vol 67
\issue 2
\pages 46--48
\crossref{https://doi.org/10.3103/S0027133012020057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84863675895}
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    • This publication is cited in the following 2 articles:
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