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Fundamentalnaya i Prikladnaya Matematika, 2009, Volume 15, Issue 6, Pages 15–31 (Mi fpm1256)  
This article is cited in 7 scientific papers (total in 7 papers)

Filtering of monotonic convex noise-distorted signals and estimates of positions of special points

D. S. Demin, A. I. Chulichkov

M. V. Lomonosov Moscow State University
Full-text PDF (483 kB) Citations (7)
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Abstract: The problem of an unknown signal filtering has been solved on the basis of mean-square approximation of the given signal segment with known monotonicity and convexity. Also the estimates of the positions of special points (local extremum and inflection points) are given. The estimates given minimize the maximum estimate error with the guaranteed reliability level.
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 172, Issue 6, Pages 770–781
DOI: https://doi.org/10.1007/s10958-011-0220-2
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: D. S. Demin, A. I. Chulichkov, “Filtering of monotonic convex noise-distorted signals and estimates of positions of special points”, Fundam. Prikl. Mat., 15:6 (2009), 15–31; J. Math. Sci., 172:6 (2011), 770–781
Citation in format AMSBIB
\Bibitem{DemChu09}
\by D.~S.~Demin, A.~I.~Chulichkov
\paper Filtering of monotonic convex noise-distorted signals and estimates of positions of special points
\jour Fundam. Prikl. Mat.
\yr 2009
\vol 15
\issue 6
\pages 15--31
\mathnet{http://mi.mathnet.ru/fpm1256}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2744988}
\transl
\jour J. Math. Sci.
\yr 2011
\vol 172
\issue 6
\pages 770--781
\crossref{https://doi.org/10.1007/s10958-011-0220-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79651474853}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:53
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