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

IF 0.5 Q4 PHYSICS, MULTIDISCIPLINARY

Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika Pub Date : 2023-01-01 DOI:10.18500/0869-6632-003048

Aleksandr D. Dmitriev, A. Ryzhov, C. Sierra-Teran

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引用次数: 0

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.

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介绍基于混沌信号的差分通信的统计理论

本文的目的是分析在加性高斯白噪声的通信信道中，混沌信号由不同的瞬时分布给出的基于混沌无线电脉冲的直接混沌差分相干通信方案的统计特性。方法。为了实现这一目标，对直接混沌差分相干通信的抗扰性进行了数值模拟，并与分析研究结果进行了比较。结果。研究了具有不同瞬时值统计分布的混沌信号的使用规律。得到了每比特能量与高斯白噪声功率谱密度之比的最小值，提供了所需的误差概率。结论。实验结果表明，该系统在高处理增益下工作效率高，并且随着处理增益的增大，噪声抗扰度对混沌信号特定统计分布的依赖性被消除。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.20

自引率

25.00%

发文量

期刊介绍： Scientific and technical journal Izvestiya VUZ. Applied Nonlinear Dynamics is an original interdisciplinary publication of wide focus. The journal is included in the List of periodic scientific and technical publications of the Russian Federation, recommended for doctoral thesis publications of State Commission for Academic Degrees and Titles at the Ministry of Education and Science of the Russian Federation, indexed by Scopus, RSCI. The journal is published in Russian (English articles are also acceptable, with the possibility of publishing selected articles in other languages by agreement with the editors), the articles data as well as abstracts, keywords and references are consistently translated into English. First and foremost the journal publishes original research in the following areas: -Nonlinear Waves. Solitons. Autowaves. Self-Organization. -Bifurcation in Dynamical Systems. Deterministic Chaos. Quantum Chaos. -Applied Problems of Nonlinear Oscillation and Wave Theory. -Modeling of Global Processes. Nonlinear Dynamics and Humanities. -Innovations in Applied Physics. -Nonlinear Dynamics and Neuroscience. All articles are consistently sent for independent, anonymous peer review by leading experts in the relevant fields, the decision to publish is made by the Editorial Board and is based on the review. In complicated and disputable cases it is possible to review the manuscript twice or three times. The journal publishes review papers, educational papers, related to the history of science and technology articles in the following sections: -Reviews of Actual Problems of Nonlinear Dynamics. -Science for Education. Methodical Papers. -History of Nonlinear Dynamics. Personalia.