DCSK performance analysis of a chaos-based communication using a newly designed chaotic system
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Namrata Biswas
Abstract
In this paper, a new chaotic system has been introduced and the fundamental properties of the system were investigated and presented using a bifurcation diagram, max Lyapunov exponent (LE) and phase portraits. The synchronization of the drive and response system has been done using the threshold control parameter. Later the differential chaos shift keying (DCSK) modulation scheme has been carried out for the system as it is the most efficient modulation scheme. The demodulator detects the data without the use of chaotic signal phase recovery, as it uses the non-coherent detection technique. The results were compared with other modulation schemes using the bit error rate (BER) graph. It reveals that the proposed chaos-based system could be used for secure communication. The system has been implemented using the MATLAB Simulink technique.
Acknowledgement
The authors would like to thank Dr. K Murali Prof. Anna University, Chennai for his guidance and technical support.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
[1] M. Borah, P. P. Singh, and B. K. Roy, “Improved chaotic dynamics of a fractional-order system, its chaos-suppressed synchronisation and circuit implementation,” Circ. Syst. Signal Process., vol. 35, no. 6, pp. 1871–1907, 2016. https://doi.org/10.1007/s00034-016-0276-9.Search in Google Scholar
[2] J. Gleick, Chaos: Making a New Science, New York City, Open Road Media, 2011.Search in Google Scholar
[3] B. Van der Pol and J. Van Der Mark, “Frequency demultiplication,” Nature, vol. 120, no. 3019, pp. 363–364, 1927. https://doi.org/10.1038/120363a0.Search in Google Scholar
[4] E. N. Lorenz, “Deterministic nonperiodic flow,” J. Atmos. Sci., vol. 20, no. 2, pp. 130–141, 1963. https://doi.org/10.1175/1520-0469(1963)020<0130:dnf>2.0.co;2.10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2Search in Google Scholar
[5] H. Dedieu, M. P. Kennedy, and M. Hasler, “Chaos shift keying: modulation and demodulation of a chaotic carrier using self-synchronizing Chua’s circuits,” IEEE Trans. Circuits Syst. II, vol. 40, no. 10, pp. 634–642, 1993. https://doi.org/10.1109/82.246164.Search in Google Scholar
[6] G. Kolumbán, M. P. Kennedy, and L. O. Chua, “The role of synchronization in digital communications using chaos: I. Fundamentals of digital communications,” IEEE Trans. Circuits Syst. I, vol. 44, no. 10, pp. 927–936, 1997. https://doi.org/10.1109/81.633882.Search in Google Scholar
[7] C. K. Tse and F. C. M. Lau, “Chaos-based digital communication systems,” in Operating Principles, Analysis Methods and Performance Evaluation, Berlin, Springer-Verlag, 2003.Search in Google Scholar
[8] M. P. Kennedy, G. Kolumbán, G. Kis, and Z. Jákó, “Performance evaluation of FM-DCSK modulation in multipath environments,” IEEE Trans. Circuits Syst. I, vol. 47, no. 12, pp. 1702–1711, 2000. https://doi.org/10.1109/81.899922.Search in Google Scholar
[9] P. Chen, L. Wang, and F. C. M. Lau, “One analog STBC-DCSK transmission scheme not requiring channel state information,” IEEE Trans. Circuits Syst. I, vol. 60, no. 4, pp. 1027–1037, 2013. https://doi.org/10.1109/tcsi.2012.2209304.Search in Google Scholar
[10] G. Kis, Z. Jákó, M. P. Kennedy, and G. Kolumbán, “Chaotic communications without synchronization,” in Proc. of 6th IEE Conf. on Telecommunications, 1998, pp. 49–53.10.1049/cp:19980010Search in Google Scholar
[11] M. Borah and B. K. Roy, “Design of fractional-order hyperchaotic systems with maximum number of positive lyapunov exponents and their antisynchronisation using adaptive control,” Int. J. Contr., vol. 91, no. 11, pp. 2615–2630, 2018. https://doi.org/10.1080/00207179.2016.1269948.Search in Google Scholar
[12] D. C. Saha, A. Ray, and A. R. Chowdhury, “Electronic circuit simulation of the Lorenz model with general circulation,” Int. J. Phys., vol. 2, no. 5, pp. 124–128, 2014. https://doi.org/10.12691/ijp-2-6-6.Search in Google Scholar
[13] A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, “Determining Lyapunov exponents from a time series,” Phys. D Nonlinear Phenom., vol. 16, no. 3, pp. 285–317, 1985. https://doi.org/10.1016/0167-2789(85)90011-9.Search in Google Scholar
[14] L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett., vol. 64, no. 8, p. 821, 1990. https://doi.org/10.1103/physrevlett.64.821.Search in Google Scholar
[15] J. A. Vargas, E. Grzeidak, K. H. Gularte, and S. C. Alfaro, “An adaptive scheme for chaotic synchronization in the presence of uncertain parameter and disturbances,” Neurocomputing, vol. 174, pp. 1038–1048, 2016. https://doi.org/10.1016/j.neucom.2015.10.026.Search in Google Scholar
[16] E. W. Bai and K. E. Lonngren, “Synchronization of two Lorenz systems using active control,” Chaos, Solit. Fractals, vol. 8, no. 1, pp. 51–58, 1997. https://doi.org/10.1016/s0960-0779(96)00060-4.Search in Google Scholar
[17] U. E. Kocamaz, A. Göksu, H. Taşkın, and Y. Uyaroğlu, “Synchronization of chaos in nonlinear finance system by means of sliding mode and passive control methods: A comparative study,” Inf. Technol. Contr., vol. 44, no. 2, pp. 172–181, 2015. https://doi.org/10.5755/j01.itc.44.2.7732.Search in Google Scholar
[18] M. Borah, P. Roy, and B. K. Roy, “Synchronisation control of a novel fractional-order chaotic system with hidden attractor,” in 2016 IEEE Students’ Technology Symposium (TechSym), IEEE, 2016, pp. 163–168.10.1109/TechSym.2016.7872675Search in Google Scholar
[19] M. Borah and B. K. Roy, “Switching synchronisation control between integer-order and fractional-order dynamics of a chaotic system,” in 2017 Indian Control Conf. (ICC), IEEE, 2017, pp. 456–461.10.1109/INDIANCC.2017.7846517Search in Google Scholar
[20] G. Kolumbbn, B. Vizvbi, W. Schwarz, and A. Abel, “Differential chaos shift keying: A robust coding for chaotic communication,” in Proc. NDES, Seville, 1996, pp. 37–92.Search in Google Scholar
[21] G. Kaddoum, J. Olivain, G. B. Samson, P. Giard, and F. Gagnon, “Implementation of a differential chaos shift keying communication system in gnu radio,” in 2012 International Symposium on Wireless Communication Systems (ISWCS), IEEE, 2012, pp. 934–938.10.1109/ISWCS.2012.6328505Search in Google Scholar
[22] B. Le Saux, M. Hélard, and P. J. Bouvet, “Comparison of coherent and non-coherent space time schemes for frequency selective fast-varying channels,” in 2005 2nd International Symposium on Wireless Communication Systems, IEEE, 2005, pp. 32–36.10.1109/ISWCS.2005.1547649Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Dynamics of synthetic drug transmission models
- Collision-induced amplitude dynamics of pulses in linear waveguides with the generic nonlinear loss
- Global dissipativity of non-autonomous BAM neural networks with mixed time-varying delays and discontinuous activations
- On the inverse problem for nonlinear strongly damped wave equations with discrete random noise
- A second-order nonlocal regularized variational model for multiframe image super-resolution
- Algebro-geometric integration of a modified shallow wave hierarchy
- Singularity analysis of a 7-DOF spatial hybrid manipulator for medical surgery
- Propagation of diffusing pollutant by kinetic flux-vector splitting method
- Limit cycles in a tritrophic food chain model with general functional responses
- Local and parallel stabilized finite element methods based on full domain decomposition for the stationary Stokes equations
- Stress concentration effect on deflection and stress fields of a master leaf spring through domain decomposition and geometry updation technique
- Electrostatically actuated double walled piezoelectric nanoshell subjected to nonlinear van der Waals effect: nonclassical vibrations and stability analysis
- Traveling wave solutions of the generalized Rosenau–Kawahara-RLW equation via the sine–cosine method and a generalized auxiliary equation method
- A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation
- Parameter inference with analytical propagators for stochastic models of autoregulated gene expression
- DCSK performance analysis of a chaos-based communication using a newly designed chaotic system
- On successive linearization method for differential equations with nonlinear conditions
- Comparison of different time discretization schemes for solving the Allen–Cahn equation
- The homoclinic breather wave solution, rational wave and n-soliton solution to a nonlinear differential equation
- Diversity of interaction phenomenon, cross-kink wave, and the bright-dark solitons for the (3 + 1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation
