Chaotic Communication System with Symmetry-Based Modulation
Source abstract
Abstract
Communication systems based on chaotic synchronization are gaining interest in the area of secure and covert data transmission. In this paper, a novel digital communication technique based on a coherent chaotic data transmission approach is proposed. In general, this technique resembles the well-known approach based on the modulation of nonlinearity parameters. The key idea of this study is to modulate a signal by varying not the system parameter but the symmetry coefficient in discrete chaotic models obtained by the special numerical integration method. For this purpose, the self-adjoint semi-implicit integration method of order 2 is used to obtain discrete master and slave models of the considered chaotic oscillator. The experimental results explicitly show that, like during parameter modulation, transmitting and receiving oscillators may completely synchronize only if the symmetry coefficients are equal in both systems. The architecture of the communication system based on the proposed modulation is presented. The practical applicability of the approach is confirmed by transmitting a test binary sequence between the transmitter and receiver models and preliminary benchmarking of the obtained communication system. Since the symmetry coefficient modulation does not significantly impact the chaotic behavior of the transmitting digital system, its better suitability for covert messaging was experimentally confirmed by comparing it with the parameter modulation technique.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Chaos control and synchronization · Nonlinear Dynamics and Pattern Formation · Chaos-based Image/Signal Encryption
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Youth Research Institute, St. Petersburg Electrotechnical University “LETI”, 197376 Saint Petersburg, Russia
Computer-Aided Design Department, Saint Petersburg Electrotechnical University “LETI”, 197376 Saint Petersburg, Russia
Funding
Russian Science Support Foundation
References (25)
Show source-provided references
1. Datta, D., Mitra, P., and Dutta, H.S. (2019). FPGA implementation of high-performance digital down converter for software defined radio. Microsyst. Technol., 1–10.10.1007/s00542-019-04579-w ↗
2. Synchronization of Lorenz-based chaotic circuits with applications to communications10.1109/82.246163 ↗
3. Chaos shift keying: Modulation and demodulation of a chaotic carrier using self-synchronizing Chua’s circuits10.1109/82.246164 ↗
4. Experiments on speech and music signals transmission using chaos10.1142/S0218127495000910 ↗
5. On the use of chaotic synchronization for secure communication10.3367/UFNe.0179.200912c.1281 ↗
6. Experimental validation of wireless communication with chaos10.1063/1.4960787 ↗
7. Riaz, A., and Ali, M. (2008, January 25). Chaotic communications, their applications and advantages over traditional methods of communication. Proceedings of the 2008 6th International Symposium on Communication Systems, Networks and Digital Signal Processing, Graz, Austria.10.1109/CSNDSP.2008.4610808 ↗
8. Bai, C., Ren, H.P., Grebogi, C., and Baptista, M.S. (2018). Chaos-based underwater communication with arbitrary transducers and bandwidth. Appl. Sci., 8.10.3390/app8020162 ↗
9. Wireless communication with chaos10.1103/PhysRevLett.110.184101 ↗
10. Liao, T.L., Lin, H.R., Wan, P.Y., and Yan, J.J. (2019). Improved Attribute-Based Encryption Using Chaos Synchronization and Its Application to MQTT Security. Appl. Sci., 9.10.3390/app9204454 ↗
11. Wireless Chaos-Based Communication Systems: A Comprehensive Survey10.1109/ACCESS.2016.2572730 ↗
12. Synchronization in chaotic systems10.1103/PhysRevLett.64.821 ↗
13. Synchronization of chaotic systems: A generalized Hamiltonian systems approach
14. An open-plus-closed-loop (OPCL) control of complex dynamic systems10.1016/0167-2789(95)00171-Y ↗
15. Haken, H. (1987). An approach to self-organization. Self-Organizing Systems: The Emergence of Order, Springer.
16. Karimov, A.I., Tutueva, A.V., Karimov, T.I., Druzhina, O.S., and Butusov, D.N. (2021). Adaptive Generalized Synchronization between Circuit and Computer Implementations of the Rössler System. Appl. Sci., 11.10.3390/app11010081 ↗
17. Butusov, D.N., Karimov, T.I., Lizunova, I.A., Soldatkina, A.A., and Popova, E.N. (2017, January 1–3). Synchronization of Analog and Discrete Rössler Chaotic Systems. Proceedings of the 2017 IEEE Russia Section Young Researchers in Electrical and Electronic Engineering Conference (2017 ElConRus), St. Petersburg and Moscow, Russia.10.1109/EIConRus.2017.7910544 ↗
18. Butusov, D.N., Karimov, A.I., and Tutueva, A.V. (2016, January 2–3). Symmetric extrapolation solvers for ordinary differential equations. Proceedings of the 2016 IEEE NW Russia Young Researchers in Electrical and Electronic Engineering Conference (EIConRusNW), St. Petersburg, Russia.10.1109/EIConRusNW.2016.7448145 ↗
19. Voroshilova, A., and Wafubwa, J. (2020). Discrete competitive Lotka–Volterra model with controllable phase volume. Systems, 8.10.3390/systems8020017 ↗
20. Semi-explicit composition methods in memcapacitor circuit simulation10.4018/IJERTCS.2019040103 ↗
21. Tutueva, A.V., Karimov, T.I., Andreev, V.S., Zubarev, A.V., Rodionova, E.A., and Butusov, D.N. (2020, January 13–15). Synchronization of Chaotic Systems via Adaptive Control of Symmetry Coefficient in Semi-Implicit Models. Proceedings of the 2020 Ural Smart Energy Conference (USEC), Ekaterinburg, Russia.10.1109/USEC50097.2020.9281181 ↗
22. Secure communication via chaotic parameter modulation10.1109/81.536758 ↗
23. New technique to quantify chaotic dynamics based on differences between semi-implicit integration schemes10.1016/j.cnsns.2020.105467 ↗
24. Theoretical performance for asynchronous multi-user chaos-based communication systems on fading channels10.1016/j.sigpro.2010.04.013 ↗
25. Digital communication using chaotic-pulse-position modulation10.1109/TCSI.2001.972850 ↗