Models of Random Processes and Their Particular Application in the Optimum Linear Interpolation and Forecasting

Models of correlation functions of random processes are considered. Numerical methods show that efficiency of the optimum linear interpolation and forecasting is defined by higher derivative of random processes. The results of numerical calculations of the interpolation and forecasting efficiency of...

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Main Author: V. A. Golovkov
Format: Article
Language:Russian
Published: Saint Petersburg Electrotechnical University "LETI" 2016-02-01
Series:Известия высших учебных заведений России: Радиоэлектроника
Subjects:
Online Access:https://re.eltech.ru/jour/article/view/76
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author V. A. Golovkov
author_facet V. A. Golovkov
author_sort V. A. Golovkov
collection DOAJ
description Models of correlation functions of random processes are considered. Numerical methods show that efficiency of the optimum linear interpolation and forecasting is defined by higher derivative of random processes. The results of numerical calculations of the interpolation and forecasting efficiency of random processes differentiated finitely many with some correlation function at Wiener filtration are given.
format Article
id doaj-art-f073c2d184d441bc8b74a07de572428b
institution Kabale University
issn 1993-8985
2658-4794
language Russian
publishDate 2016-02-01
publisher Saint Petersburg Electrotechnical University "LETI"
record_format Article
series Известия высших учебных заведений России: Радиоэлектроника
spelling doaj-art-f073c2d184d441bc8b74a07de572428b2025-08-20T03:57:30ZrusSaint Petersburg Electrotechnical University "LETI"Известия высших учебных заведений России: Радиоэлектроника1993-89852658-47942016-02-0101172176Models of Random Processes and Their Particular Application in the Optimum Linear Interpolation and ForecastingV. A. Golovkov0JSC "Science research Institute of opto-electronic instrumentation" (Sosnovy Bor t.)Models of correlation functions of random processes are considered. Numerical methods show that efficiency of the optimum linear interpolation and forecasting is defined by higher derivative of random processes. The results of numerical calculations of the interpolation and forecasting efficiency of random processes differentiated finitely many with some correlation function at Wiener filtration are given.https://re.eltech.ru/jour/article/view/76random processdifferentiabilitywiener-hopf filterforecastinginterpolation
spellingShingle V. A. Golovkov
Models of Random Processes and Their Particular Application in the Optimum Linear Interpolation and Forecasting
Известия высших учебных заведений России: Радиоэлектроника
random process
differentiability
wiener-hopf filter
forecasting
interpolation
title Models of Random Processes and Their Particular Application in the Optimum Linear Interpolation and Forecasting
title_full Models of Random Processes and Their Particular Application in the Optimum Linear Interpolation and Forecasting
title_fullStr Models of Random Processes and Their Particular Application in the Optimum Linear Interpolation and Forecasting
title_full_unstemmed Models of Random Processes and Their Particular Application in the Optimum Linear Interpolation and Forecasting
title_short Models of Random Processes and Their Particular Application in the Optimum Linear Interpolation and Forecasting
title_sort models of random processes and their particular application in the optimum linear interpolation and forecasting
topic random process
differentiability
wiener-hopf filter
forecasting
interpolation
url https://re.eltech.ru/jour/article/view/76
work_keys_str_mv AT vagolovkov modelsofrandomprocessesandtheirparticularapplicationintheoptimumlinearinterpolationandforecasting