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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2008, Issue 2(17), Pages 185–191
DOI: https://doi.org/10.14498/vsgtu636 (Mi vsgtu636) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling

Approximation of correlation function and power spectral density with Sonin–Laguerre orthogonal functions

S. A. Prokhorov, I. M. Kulikovskikh

S. P. Korolyov Samara State Aerospace University
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DOI: https://doi.org/10.14498/vsgtu636
Abstract: Approximate capabilities of Sonin–Laguerre orthogonal functions with predefined parameter of orthogonal basis are studied. Parameters of approximation expression are evaluated, that are used for construction of the models of correlation function and power spectral density in compliance with the minimal weighted quadratic error of approximation.
Keywords: approximation, correlation function, Sonin–Laguerre orthogonal basis, Fourier transformation, random process, power spectrum density.
Original article submitted 12/V/2008
revision submitted – 14/X/2008
Bibliographic databases:
Document Type: Article
UDC: 517.587+519.216
MSC: Primary 42C05, 33C45; Secondary 93B40
Language: Russian
Citation: S. A. Prokhorov, I. M. Kulikovskikh, “Approximation of correlation function and power spectral density with Sonin–Laguerre orthogonal functions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 185–191
Citation in format AMSBIB
\Bibitem{ProKul08}
\by S.~A.~Prokhorov, I.~M.~Kulikovskikh
\paper Approximation of correlation function and power spectral density with Sonin--Laguerre orthogonal functions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2008
\vol 2(17)
\pages 185--191
\mathnet{http://mi.mathnet.ru/vsgtu636}
\crossref{https://doi.org/10.14498/vsgtu636}
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  • https://www.mathnet.ru/eng/vsgtu/v117/p185
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    References:58
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