ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Dmitriev A. S., Ryzhov A. I., Sierra-Teran C. M. Introduction to the statistical theory of differential communication based on chaotic signals. Izvestiya VUZ. Applied Nonlinear Dynamics, 2023, vol. 31, iss. 4, pp. 421-438. DOI: 10.18500/0869-6632-003048, EDN: VASLIL

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182
DOI: 
10.18500/0869-6632-003048
EDN: 
VASLIL

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

Autors: 
Dmitriev Aleksandr Sergeevich, Kotel'nikov Institute of Radioengineering and Electronics of Russian Academy of Sciences
Ryzhov Anton Igorevich, Kotel'nikov Institute of Radioengineering and Electronics of Russian Academy of Sciences
Sierra-Teran C.  M., Moscow Institute of Physics and Technology
Abstract: 

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.

Key words: 
chaotic radio pulses
differential communication scheme
numerical simulation
statistic characteristics
bit-error probability
Acknowledgments: 
The research was funded by the Russian Science Foundation (project No. 23-29-00070)
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Received: 
10.02.2023
Accepted: 
24.04.2023
Available online: 
03.07.2023
Published: 
31.07.2023
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