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Exact BER Analysis of Differential Chaos Shift Keying Communication System in Fading Channels

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Abstract

An exact method is employed to analyze the bit error rate (BER) performances of differential chaos shift keying (DCSK) communication system over fading channels. The exact BER performances of DCSK in Nakagami-m Rayleigh and Rician fading channels are derived, respectively. The Gaussian approximation (GA) method is compared with the exact method. The numerical results and simulation results for the two methods are presented and are compared in the fading channels, respectively. These results support our theoretical analysis.

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References

  1. Kennedy, M. P., Koluman, G., & Jako, Z. (1998). Recent advances in communicating with chaos. In Proceedings of the IEEE International Symposium on Circuits and Systems (pp. 461–464). USA: Monterey, CA.

  2. Kolumbán G. et al (1998) FM-DCSK: A robust modulation scheme for chaotic communications. IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences E81a(9): 1798–1802

    Google Scholar 

  3. Salberg A.B., Hanssen A. (2006) A subspace theory for differential chaos-shift keying. IEEE Transactions on Circuits and Systems Ii-Express Briefs, 53(1): 51–55

    Article  Google Scholar 

  4. Ji Y., Lawrance A.J. (2006) Performance analysis and optimization of multi-user differential chaos-shift keying communication systems. IEEE Transactions on Circuits and Systems I, Fundamental Theory and Applications, 53(9): 2075–2091

    Article  Google Scholar 

  5. Mandal S., Banerjee S. (2004) Analysis and CMOS implementation of a chaos-based communication system. IEEE Transactions on Circuits and Systems I-Regular Papers, 51(9): 1708–1722

    Article  Google Scholar 

  6. Delgado-Restituto M., Acosta A.J., Rodriguez-Vazquez A. (2005) A mixed-signal integrated circuit for FM-DCSK modulation. IEEE Journal of Solid-State Circuits, 40(7): 1460–1471

    Article  Google Scholar 

  7. Lawrance A.J., Ohama G. (2003) Exact calculation of bit error rates in communication systems with chaotic modulation. IEEE Transactions on Circuits and Systems I-Fundamental Theory and Applications, 50(11): 1391–1400

    Article  MathSciNet  Google Scholar 

  8. Mandal S., Banerjee S. (2002) Performance of differential chaos shift keying communication over multipath fading channels. IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, E E85-A: 1–10

    Google Scholar 

  9. Nakagami, M. (1960). The m-distribution—a general formula for intensity distribution of rapid fading. Pergamon Press.

  10. Suzuki H. (1977) A statistical model for urban radio propagation. IEEE Transactions on Communications, 25(7): 673–680

    Article  Google Scholar 

  11. Charash U. (1979) Reception through nakagami fading multipath channels with random delays. IEEE Transactions on Communications, 27(4): 657–670

    Article  MATH  Google Scholar 

  12. Geisel T., Fairen V. (1984) Statistical properties of chaos in Chebyshev maps. Physics Letters A, 105(6): 263–266

    Article  MathSciNet  Google Scholar 

  13. Simon, M. K., & Alouini, M. S. (2000). Digital communication over fading channels-A unified approach to performance analysis. Wiley.

  14. Johnson N.L., Kotz S., Balakrishna N. (1995) Continuous univariate distributions (Vol. 2, 2nd ed). Wiley, New York

    MATH  Google Scholar 

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Correspondence to Zhibo Zhou.

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Zhou, Z., Wang, J. & Ye, Y. Exact BER Analysis of Differential Chaos Shift Keying Communication System in Fading Channels. Wireless Pers Commun 53, 299–310 (2010). https://doi.org/10.1007/s11277-009-9685-4

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  • DOI: https://doi.org/10.1007/s11277-009-9685-4

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