Chaotic Communication Systems with Signal Modulation Based on Controlled Symmetry of Semi-Implicit Finite-Difference Models

Cover Page

Cite item

Full Text

Abstract

The article is devoted to investigation coherent communication system model with a new method of signal modulation based on variable symmetry of finite-difference schemes with subsequent experimental analysis of the effectiveness of different modulation techniques. The aim of the study is to investigate a computer model of chaotic communication system with signal modulation based on variable symmetry of semi-implicit finite-difference schemes. Novelty: elements of scientific novelty have finite-difference models of receivers/transmitters, allowing to realize a new method of modulation of chaotic signals. Result: obtaining a simulation model of coherent chaotic communication systems with tools for covertness and noise immunity analyses. Practical relevance: The simulation model of chaotic communication system is a necessary tool for analyzing the performance of the system before its physical implementation.

About the authors

V. G. Rybin

Saint Petersburg Electrotechnical University "LETI"

Email: vgrybin@etu.ru
ORCID iD: 0000-0002-1748-8642
SPIN-code: 5282-5287

References

  1. Ostrovskii V.Y., Karimov A.I., Rybin V.G., Kopets E.E., Butusov D.N. Comparing the Finite-Difference Schemes in the Simulation of Shunted Josephson Junctions // Proceedings of the 23rd Conference of Open Innovations Association (FRUCT, Bologna, Italy, 13‒16 November 2018). IEEE, 2018. PP. 300–305. doi: 10.23919/FRUCT.2018.8588028
  2. Kaddoum G. Wireless Chaos-Based Communication Systems: A Comprehensive Survey // IEEE Access. 2016. Vol. 4. PP. 2621‒2648. doi: 10.1109/ACCESS.2016.2572730
  3. Ostrovskii V.Y., Rybin V.G., Karimov A.I., Butusov D.N. Inducing multistability in discrete chaotic systems using numerical integration with variable symmetry // Chaos, Solitons & Fractals. 2022. Vol. 165. Part 1. P. 112794. doi: 10.1016/j.chaos.2022.112794
  4. Rahman Z.A.S., Jasim B.H., Al-Yasir Y.I., Hu Y.F., Abd-Alhameed R.A., Alhasnawi B.N. A New Fractional-Order Chaotic System with its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications // Mathematics. 2021. Vol. 9. Iss. 20. P. 2593. doi: 10.3390/math9202593
  5. Benkouider K., Bouden T., Sambas A., Mohamed M.A., Sulaiman I. M., Mamat M., et al. Dynamics, Control and Secure Transmission Electronic Circuit Implementation of a New 3D Chaotic System in Comparison With 50 Reported Systems // IEEE Access. 2021. Vol. 9. PP. 152150‒152168. doi: 10.1109/ACCESS.2021.3126655
  6. Gokyildirim A., Kocamaz U.E., Uyaroglu Y., Calgan H. A novel five-term 3D chaotic system with cubic nonlinearity and its microcontroller-based secure communication implementation // AEU ‒ International Journal of Electronics and Communications. 2023. Vol. 160. P. 154497. doi: 10.1016/j.aeue.2022.154497
  7. Babajans R., Cirjulina D., Capligins F., Kolosovs D., Grizans J., Litvinenko A. Performance Analysis of Vilnius Chaos Oscillator-Based Digital Data Transmission Systems for IoT // Electronics. 2023. Vol. 12. Iss. 3. P. 709. doi: 10.3390/electronics12030709
  8. Cirjulina D., Babajans R., Kolosovs D., Litvinenko A. Experimental Study on Frequency Modulated Chaos Shift Keying Communication System // Proceedings of the Workshop on Microwave Theory and Techniques in Wireless Communications (MTTW, Riga, Latvia, 05‒07 October 2022). IEEE, 2022. doi: 10.1109/MTTW56973.2022.9942593
  9. Cui S., Zhang J. Chaotic Secure Communication Based on Single Feedback Phase Modulation and Channel Transmission // IEEE Photonics Journal. 2019. Vol. 11. Iss. 5. P. 7905208. doi: 10.1109/JPHOT.2019.2931615
  10. Butusov D.N., Karimov A.I., Tutueva A.V. Symmetric extrapolation solvers for ordinary differential equations // Proceedings of NW Russia Young Researchers in Electrical and Electronic Engineering Conference (EIConRusNW, St. Petersburg, Russia, 02‒03 February 2016). IEEE, 2016. PP. 162‒167. doi: 10.1109/EIConRusNW.2016.7448145
  11. Voroshilova A., Wafubwa J. Discrete Competitive Lotka–Volterra Model with Controllable Phase Volume // Systems. 2020. Vol. 8. Iss. 2. P. 17. doi: 10.3390/systems8020017
  12. Butusov D.N., Ostrovskii V.Y., Karimov A.I., Andreev V.S. Semi-Explicit Composition Methods in Memcapacitor Circuit Simulation // International Journal of Embedded and Real-Time Communication Systems (IJERTCS). 2019. Vol. 10. Iss. 2. PP. 37–52. doi: 10.4018/IJERTCS.2019040103
  13. Terentev A.A., Butusov D.N., Fedoseev P.S. Novel Composition ODE Solver based on Semi-Implicit Integration // Proceedings of the International Conference on Soft Computing and Measurements (SCM, St. Petersburg, Russia, 27‒29 May 2020). IEEE, 2020. PP. 128–132. doi: 10.1109/SCM50615.2020.9198821
  14. Reich S. Linearly implicit time stepping methods for numerical weather prediction // BIT Numerical Mathematics. 2006. Vol. 46. PP. 607–616. doi: 10.1007/s10543-006-0065-0
  15. Tutueva A., Butusov D. Avoiding Dynamical Degradation in Computer Simulation of chaotic Systems Using Semi-Explicit Integration: Rössler Oscillator Case // Fractal and Fractional. 2021. Vol. 5. Iss. 4. P. 214. doi: 10.3390/fractalfract5040214
  16. Karimov T., Rybin V., Kolev G., Rodionova E., Butusov D. Chaotic Communication System with Symmetry-Based Modulation // Applied Sciences. 2021. Vol. 11. Iss. 8. P. 3698. doi: 10.3390/app11083698
  17. Tutueva A.V., Karimov T.I., Andreev V.S., Zubarev A.V., Rodionova E.A., Butusov D.N. Synchronization of Chaotic Systems via Adaptive Control of Symmetry Coefficient in Semi-Implicit Models // Proceedings of the Ural Smart Energy Conference (USEC, Ekaterinburg, Russia, 13‒15 November 2020). IEEE, 2020. PP. 143–146. doi: 10.1109/USEC50097.2020.9281181
  18. Singh P.P. A Novel Chaotic System with Wide Spectrum, its Synchronization, Circuit Design and Application to Secure Communication // Indian Journal of Science and Technology. 2021. Vol. 14. Iss. 28. PP. 2351‒2367. doi: 10.17485/ijst/v14i28.1035
  19. Rybin V., Kolev G., Kopets E., Dautov A., Karimov A., Karimov T. Optimal Synchronization Parameters for Variable Symmetry Discrete Models of Chaotic Systems // Proceedings of the 11th Mediterranean Conference on Embedded Computing (MECO, Budva, Montenegro, 07‒10 June 2022). IEEE, 2022. doi: 10.1109/MECO55406.2022.9797125
  20. Rybin V., Butusov D., Rodionova E., Karimov T., Ostrovskii V., Tutueva A. Discovering Chaos-Based Communications by Recurrence Quantification and Quantified Return Map Analyses // International Journal of Bifurcation and Chaos. 2022. Vol. 32. Iss. 9. P. 2250136. doi: 10.1142/S021812742250136X
  21. Pérez G., Cerdeira H.A. Extracting messages masked by chaos // Physical Review Letters. 1995. Vol. 74. Iss. 11. P. 1970. doi: 10.1103/PhysRevLett.74.1970
  22. Li S., Chen G., Alvarez G. Return-map cryptanalysis revisited // International Journal of Bifurcation and Chaos. 2006. Vol. 16. Iss. 5. PP. 1557–1568. doi: 10.1142/S0218127406015507
  23. Yang T., Yang L.B., Yang C.M. Cryptanalyzing chaotic secure communications using return maps // Physics Letters A. 1998. Vol. 245. Iss. 6. PP. 495–510. doi: 10.1016/S0375-9601(98)00425-3


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies