Modeling of information channel by using of pseudorandom signals of nonlinear dynamical system
Pseudorandom signals of nonlinear dynamical systems are studied and the possibility of their application in information systems analyzed. Continuous and discrete dynamical systems are considered: Lorenz System, Bernoulli and Henon maps. Since the parameters of dynamical systems (DS) are included in...
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| Format: | Article |
| Language: | English |
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Kazan State Power Engineering University
2020-11-01
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| Series: | Известия высших учебных заведений: Проблемы энергетики |
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| Online Access: | https://www.energyret.ru/jour/article/view/1409 |
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| author | I. K. Nasyrov V. V. Andreev |
| author_facet | I. K. Nasyrov V. V. Andreev |
| author_sort | I. K. Nasyrov |
| collection | DOAJ |
| description | Pseudorandom signals of nonlinear dynamical systems are studied and the possibility of their application in information systems analyzed. Continuous and discrete dynamical systems are considered: Lorenz System, Bernoulli and Henon maps. Since the parameters of dynamical systems (DS) are included in the equations linearly, the principal possibility of the state linear control of a nonlinear DS is shown. The correlation properties comparative analysis of these DSs signals is carried out.. Analysis of correlation characteristics has shown that the use of chaotic signals in communication and radar systems can significantly increase their resolution over the range and taking into account the specific properties of chaotic signals, it allows them to be hidden. The representation of nonlinear dynamical systems equations in the form of stochastic differential equations allowed us to obtain an expression for the likelihood functional, with the help of which many problems of optimal signal reception are solved. It is shown that the main step in processing the received message, which provides the maximum likelihood functionals, is to calculate the correlation integrals between the components and the systems under consideration. This made it possible to base the detection algorithm on the correlation reception between signal components. A correlation detection receiver was synthesized and the operating characteristics of the receiver were found. |
| format | Article |
| id | doaj-art-8e63b1d316044051b6f8a60005d561bd |
| institution | OA Journals |
| issn | 1998-9903 |
| language | English |
| publishDate | 2020-11-01 |
| publisher | Kazan State Power Engineering University |
| record_format | Article |
| series | Известия высших учебных заведений: Проблемы энергетики |
| spelling | doaj-art-8e63b1d316044051b6f8a60005d561bd2025-08-20T01:53:25ZengKazan State Power Engineering UniversityИзвестия высших учебных заведений: Проблемы энергетики1998-99032020-11-01224798710.30724/1998-9903-2020-22-4-79-87687Modeling of information channel by using of pseudorandom signals of nonlinear dynamical systemI. K. Nasyrov0V. V. Andreev1Kazan Power Engineering UniversityKazan Power Engineering UniversityPseudorandom signals of nonlinear dynamical systems are studied and the possibility of their application in information systems analyzed. Continuous and discrete dynamical systems are considered: Lorenz System, Bernoulli and Henon maps. Since the parameters of dynamical systems (DS) are included in the equations linearly, the principal possibility of the state linear control of a nonlinear DS is shown. The correlation properties comparative analysis of these DSs signals is carried out.. Analysis of correlation characteristics has shown that the use of chaotic signals in communication and radar systems can significantly increase their resolution over the range and taking into account the specific properties of chaotic signals, it allows them to be hidden. The representation of nonlinear dynamical systems equations in the form of stochastic differential equations allowed us to obtain an expression for the likelihood functional, with the help of which many problems of optimal signal reception are solved. It is shown that the main step in processing the received message, which provides the maximum likelihood functionals, is to calculate the correlation integrals between the components and the systems under consideration. This made it possible to base the detection algorithm on the correlation reception between signal components. A correlation detection receiver was synthesized and the operating characteristics of the receiver were found.https://www.energyret.ru/jour/article/view/1409pseudorandom signalsnonlinear dynamical systemsoptimal receiverstochastic differential equationslorenz systemhenon’s mapcorrelation functions |
| spellingShingle | I. K. Nasyrov V. V. Andreev Modeling of information channel by using of pseudorandom signals of nonlinear dynamical system Известия высших учебных заведений: Проблемы энергетики pseudorandom signals nonlinear dynamical systems optimal receiver stochastic differential equations lorenz system henon’s map correlation functions |
| title | Modeling of information channel by using of pseudorandom signals of nonlinear dynamical system |
| title_full | Modeling of information channel by using of pseudorandom signals of nonlinear dynamical system |
| title_fullStr | Modeling of information channel by using of pseudorandom signals of nonlinear dynamical system |
| title_full_unstemmed | Modeling of information channel by using of pseudorandom signals of nonlinear dynamical system |
| title_short | Modeling of information channel by using of pseudorandom signals of nonlinear dynamical system |
| title_sort | modeling of information channel by using of pseudorandom signals of nonlinear dynamical system |
| topic | pseudorandom signals nonlinear dynamical systems optimal receiver stochastic differential equations lorenz system henon’s map correlation functions |
| url | https://www.energyret.ru/jour/article/view/1409 |
| work_keys_str_mv | AT iknasyrov modelingofinformationchannelbyusingofpseudorandomsignalsofnonlineardynamicalsystem AT vvandreev modelingofinformationchannelbyusingofpseudorandomsignalsofnonlineardynamicalsystem |