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

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 min...

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Main Authors:	I. M. Kulikovskikh, S. A. Prokhorov
Format:	Article
Language:	English
Published:	Samara State Technical University 2008-06-01
Series:	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:	http://mi.mathnet.ru/eng/vsgtu636

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spelling	doaj-49223b15759640cda768a896e4e6d4f42020-11-25T01:07:49ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812008-06-012(17)18519110.14498/vsgtu636 Approximation of correlation function and power spectral density with Sonin–Laguerre orthogonal functions I. M. KulikovskikhS. A. Prokhorov 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.http://mi.mathnet.ru/eng/vsgtu636
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	I. M. Kulikovskikh S. A. Prokhorov
spellingShingle	I. M. Kulikovskikh S. A. Prokhorov Approximation of correlation function and power spectral density with Sonin–Laguerre orthogonal functions Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet	I. M. Kulikovskikh S. A. Prokhorov
author_sort	I. M. Kulikovskikh
title	Approximation of correlation function and power spectral density with Sonin–Laguerre orthogonal functions
title_short	Approximation of correlation function and power spectral density with Sonin–Laguerre orthogonal functions
title_full	Approximation of correlation function and power spectral density with Sonin–Laguerre orthogonal functions
title_fullStr	Approximation of correlation function and power spectral density with Sonin–Laguerre orthogonal functions
title_full_unstemmed	Approximation of correlation function and power spectral density with Sonin–Laguerre orthogonal functions
title_sort	approximation of correlation function and power spectral density with sonin–laguerre orthogonal functions
publisher	Samara State Technical University
series	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn	1991-8615 2310-7081
publishDate	2008-06-01
description	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.
url	http://mi.mathnet.ru/eng/vsgtu636
work_keys_str_mv	AT imkulikovskikh approximationofcorrelationfunctionandpowerspectraldensitywithsoninlaguerreorthogonalfunctions AT saprokhorov approximationofcorrelationfunctionandpowerspectraldensitywithsoninlaguerreorthogonalfunctions
_version_	1725185133473955840

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

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