Introduction to the statistical theory of differential communication based on chaotic signals

The purpose of this paper is to analyse the statistical characteristics of a Direct Chaotic Differentially Coherent communication scheme based on chaotic radio pulses in a communication channel with additive white Gaussian noise, where the chaotic signal is given by different instantaneous distribut...

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Main Authors: Dmitriev, Aleksandr Sergeevich, Ryzhov, Anton Igorevich, Sierra-Teran, C.  M.
Format: Article
Language:English
Published: Saratov State University 2023-07-01
Series:Известия высших учебных заведений: Прикладная нелинейная динамика
Subjects:
Online Access:https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2023/07/and_2023-4_3dmitriev_et_al_421-438.pdf
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author Dmitriev, Aleksandr Sergeevich
Ryzhov, Anton Igorevich
Sierra-Teran, C.  M.
author_facet Dmitriev, Aleksandr Sergeevich
Ryzhov, Anton Igorevich
Sierra-Teran, C.  M.
author_sort Dmitriev, Aleksandr Sergeevich
collection DOAJ
description The purpose of this paper is to analyse the statistical characteristics of a Direct Chaotic Differentially Coherent communication scheme based on chaotic radio pulses in a communication channel with additive white Gaussian noise, where the chaotic signal is given by different instantaneous distributions. Methods. To achieve this goal, numerical modelling of the noise immunity of Direct Chaotic Differentially Coherent communication is conducted and compared with the results of analytical research. Results. The regularities associated with the use of chaotic signals with various statistical distributions of instantaneous values were studied. The minimum values of energy per bit to white Gaussian noise power spectral density ratio were obtained, providing the required error probabilities. Conclusion. It is shown that the proposed system works efficiently at high values of processing gain, and as the processing gain increases, the dependence of noise immunity on the specific statistical distribution of the chaotic signal is levelled out.
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spelling doaj.art-d46fdd17191c47a8b3aa3c2919b79ad72023-07-31T04:27:42ZengSaratov State UniversityИзвестия высших учебных заведений: Прикладная нелинейная динамика0869-66322542-19052023-07-0131442143810.18500/0869-6632-003048Introduction to the statistical theory of differential communication based on chaotic signalsDmitriev, Aleksandr Sergeevich0Ryzhov, Anton Igorevich1Sierra-Teran, C.  M.2Kotel'nikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, Mokhovaya 11-7, Moscow, 125009, RussiaKotel'nikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, Mokhovaya 11-7, Moscow, 125009, RussiaMoscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region, 141700, Russian FederationThe purpose of this paper is to analyse the statistical characteristics of a Direct Chaotic Differentially Coherent communication scheme based on chaotic radio pulses in a communication channel with additive white Gaussian noise, where the chaotic signal is given by different instantaneous distributions. Methods. To achieve this goal, numerical modelling of the noise immunity of Direct Chaotic Differentially Coherent communication is conducted and compared with the results of analytical research. Results. The regularities associated with the use of chaotic signals with various statistical distributions of instantaneous values were studied. The minimum values of energy per bit to white Gaussian noise power spectral density ratio were obtained, providing the required error probabilities. Conclusion. It is shown that the proposed system works efficiently at high values of processing gain, and as the processing gain increases, the dependence of noise immunity on the specific statistical distribution of the chaotic signal is levelled out.https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2023/07/and_2023-4_3dmitriev_et_al_421-438.pdfchaotic radio pulsesdifferential communication schemenumerical simulationstatistic characteristicsbit-error probability
spellingShingle Dmitriev, Aleksandr Sergeevich
Ryzhov, Anton Igorevich
Sierra-Teran, C.  M.
Introduction to the statistical theory of differential communication based on chaotic signals
Известия высших учебных заведений: Прикладная нелинейная динамика
chaotic radio pulses
differential communication scheme
numerical simulation
statistic characteristics
bit-error probability
title Introduction to the statistical theory of differential communication based on chaotic signals
title_full Introduction to the statistical theory of differential communication based on chaotic signals
title_fullStr Introduction to the statistical theory of differential communication based on chaotic signals
title_full_unstemmed Introduction to the statistical theory of differential communication based on chaotic signals
title_short Introduction to the statistical theory of differential communication based on chaotic signals
title_sort introduction to the statistical theory of differential communication based on chaotic signals
topic chaotic radio pulses
differential communication scheme
numerical simulation
statistic characteristics
bit-error probability
url https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2023/07/and_2023-4_3dmitriev_et_al_421-438.pdf
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