Method of Inverse Operator for the Recover Input Signal

Method of Inverse Operator for the Recover Input Signal

There have been considered the methods of construction of the inverse operator for the restoration of signals in conditions of weak nonlinear dynamic and nonlinear static distortions in the registration devices and transmission of continuous signals are considered. The simplest structure of the impl...

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Date:2018
Main Author: Ivanyuk, Vitaliy Anatoliyovich
Format: Article
Language:English
Published: Kamianets-Podilskyi National Ivan Ohiienko University 2018
Online Access:http://mcm-tech.kpnu.edu.ua/article/view/140025
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Journal Title:Mathematical and computer modelling. Series: Technical sciences

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Mathematical and computer modelling. Series: Technical sciences
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spelling mcmtechkpnueduua-article-1400252019-03-06T09:39:07Z Method of Inverse Operator for the Recover Input Signal Ivanyuk, Vitaliy Anatoliyovich There have been considered the methods of construction of the inverse operator for the restoration of signals in conditions of weak nonlinear dynamic and nonlinear static distortions in the registration devices and transmission of continuous signals are considered. The simplest structure of the implementation block of the inverse operator is based on the adder, whose second inverse communication competitor includes the simulation model of the direct operator. A linear inertia-free unit with a set transmission factor is used as regularizer.The inverse operator, based on the output signal of an object and its mathematical model, is able to restore the input signal of an object.Depending on the method of construction of the inverse feedback, there are considered various methods of the inverse operator construction.It is necessary to specify that the amplitudes of input and output signals should be agreed. Failure to meet this condition leads to the inverse operator accuracy loss. The regularization parameter should differ from the unit, and the accurate functioning of the structure may go beyond the stability limits. Physical dimension of variables differ, but the ranges of their changes in numbers should coincide.When using a regularizer with a value above than one, the computational process may vary however there is a small amount of stability thanks to digitalization being used as a regularization parameter.The algorithms for the implementation of the inverse operator may be used while improving the efficiency of the operation of energy-sa­tu­ra­ted equipment, improving the resolution of surveillance systems, imp­roving the information exchange rate in communication lines, imp­ro­ving the information capacity of the information registration means, etc.The effectiveness of the offered approaches is studied on model problems implemented in the Matlab/Simulink system. There have been made the computational experiments that demonstrated the efficiency of the method of inverse operators for the signals restoration in the presence of weak nonlinear dynamic and nonlinear static distortions in the registration devices and transmission of continuous signals in real-time mode. Kamianets-Podilskyi National Ivan Ohiienko University 2018-05-28 Article Article application/pdf http://mcm-tech.kpnu.edu.ua/article/view/140025 10.32626/2308-5916.2018-17.63-70 Mathematical and computer modelling. Series: Technical sciences; 2018: Mathematical and computer modelling. Series: Technical sciences. Issue 17; 63-70 Математичне та комп'ютерне моделювання. Серія: Технічні науки ; 2018: Математичне та комп'ютерне моделювання. Серія: Технічні науки. Випуск 17; 63-70 2308-5916 10.32626/2308-5916.2018-17 en http://mcm-tech.kpnu.edu.ua/article/view/140025/137070 Авторське право (c) 2021 Математичне та комп'ютерне моделювання. Серія: Технічні науки
institution Mathematical and computer modelling. Series: Technical sciences
baseUrl_str
datestamp_date 2019-03-06T09:39:07Z
collection OJS
language English
format Article
author Ivanyuk, Vitaliy Anatoliyovich
spellingShingle Ivanyuk, Vitaliy Anatoliyovich
Method of Inverse Operator for the Recover Input Signal
author_facet Ivanyuk, Vitaliy Anatoliyovich
author_sort Ivanyuk, Vitaliy Anatoliyovich
title Method of Inverse Operator for the Recover Input Signal
title_short Method of Inverse Operator for the Recover Input Signal
title_full Method of Inverse Operator for the Recover Input Signal
title_fullStr Method of Inverse Operator for the Recover Input Signal
title_full_unstemmed Method of Inverse Operator for the Recover Input Signal
title_sort method of inverse operator for the recover input signal
description There have been considered the methods of construction of the inverse operator for the restoration of signals in conditions of weak nonlinear dynamic and nonlinear static distortions in the registration devices and transmission of continuous signals are considered. The simplest structure of the implementation block of the inverse operator is based on the adder, whose second inverse communication competitor includes the simulation model of the direct operator. A linear inertia-free unit with a set transmission factor is used as regularizer.The inverse operator, based on the output signal of an object and its mathematical model, is able to restore the input signal of an object.Depending on the method of construction of the inverse feedback, there are considered various methods of the inverse operator construction.It is necessary to specify that the amplitudes of input and output signals should be agreed. Failure to meet this condition leads to the inverse operator accuracy loss. The regularization parameter should differ from the unit, and the accurate functioning of the structure may go beyond the stability limits. Physical dimension of variables differ, but the ranges of their changes in numbers should coincide.When using a regularizer with a value above than one, the computational process may vary however there is a small amount of stability thanks to digitalization being used as a regularization parameter.The algorithms for the implementation of the inverse operator may be used while improving the efficiency of the operation of energy-sa­tu­ra­ted equipment, improving the resolution of surveillance systems, imp­roving the information exchange rate in communication lines, imp­ro­ving the information capacity of the information registration means, etc.The effectiveness of the offered approaches is studied on model problems implemented in the Matlab/Simulink system. There have been made the computational experiments that demonstrated the efficiency of the method of inverse operators for the signals restoration in the presence of weak nonlinear dynamic and nonlinear static distortions in the registration devices and transmission of continuous signals in real-time mode.
publisher Kamianets-Podilskyi National Ivan Ohiienko University
publishDate 2018
url http://mcm-tech.kpnu.edu.ua/article/view/140025
work_keys_str_mv AT ivanyukvitaliyanatoliyovich methodofinverseoperatorfortherecoverinputsignal
first_indexed 2025-07-17T10:13:40Z
last_indexed 2025-07-17T10:13:40Z
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