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Sibirskii Zhurnal Vychislitel'noi Matematiki, 1999, Volume 2, Number 4, Pages 333–349 (Mi sjvm345)  

This article is cited in 3 scientific papers (total in 3 papers)

Optimal detection of given number of identical subsequences in quasiperiodic sequence

A. V. Kel'manov, S. A. Khamidullin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
References:
Abstract: The problem of the detection of given number of identical subsequences in quasiperiodic sequence distorted by the uncorrelated Gaussian interference with a known dispersion is studied. The aposteriori computing algorithm for the solution to this problem is justified. The case is considered, when the boundaries of an interval of the beginning and ending of the observations above the distorted sequence do not break the first and the last subsequence of hidden quasiperiodic sequence into two parts, and the instants of the begining of the subsequences are the determined values. It is established that the given problem is a particular problem of the test of the hypothesis about the mean of the Gaussian random vector. The recursion formulas of step by step discrete optimization ensuring maximum likelihood decsion are obtained. The estimation of temporary and capacitive of the algorithm is given. The outcomes of the numerical modeling are adduced.
Received: 16.04.1999
Revised: 16.06.1999
Bibliographic databases:
Document Type: Article
UDC: 519.2+621.391
Language: Russian
Citation: A. V. Kel'manov, S. A. Khamidullin, “Optimal detection of given number of identical subsequences in quasiperiodic sequence”, Sib. Zh. Vychisl. Mat., 2:4 (1999), 333–349
Citation in format AMSBIB
\Bibitem{KelKha99}
\by A.~V.~Kel'manov, S.~A.~Khamidullin
\paper Optimal detection of given number of identical subsequences in quasiperiodic sequence
\jour Sib. Zh. Vychisl. Mat.
\yr 1999
\vol 2
\issue 4
\pages 333--349
\mathnet{http://mi.mathnet.ru/sjvm345}
\zmath{https://zbmath.org/?q=an:0937.93046}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Sibirskii Zhurnal Vychislitel'noi Matematiki
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