Skip to main content

Advertisement

SpringerLink
Log in

A Noise Reducing Multi-carrier DCSK Communication System Based on Carrier Phase and Code Index Modulation

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

In order to improve the transmission rate and bit error rate (BER) performance of multi-carrier differential chaos shift keying system (MC-DCSK), a novel carrier phase and code index modulation differential chaos shift keying system (CP-CI-DCSK) is proposed in this paper. Reference and information signals are transmitted on N+1 different frequency carriers, then the additional bit information is mapped into phase and code index information based on MC-DCSK through carrier phase modulation and code index modulation techniques, thus the information transmission rate and spectral efficiency are significantly improved. The signals are replicated P times at the transmitter, then the signals are moving averaged at the receiver to reduce the variance to achieve lower BER. The BER equations of CP-CI-DCSK system under additive white Gaussian noise (AWGN) channel and multipath Rayleigh fading channel (RFC) is derived by Gaussian approximation theory and Central limit theorem. The good agreement between theory and numerical simulation proves the correctness of theoretical derivation. The simulation results demonstrate the high transmission rate and low BER of the proposed system compared to MC-DCSK, and the efficiency advantages. The system has great theoretical significance and practical engineering application value.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

Data Availability

The data sets supporting the results of this article are included within the article and its additional files.

References

  1. Cheng, G., Wang, L., Xu, W., et al. (2016). Carrier index differential chaos shift keying modulation. IEEE Transactions on Circuits and Systems II: Express Briefs, 64(8), 907–911.

    Google Scholar 

  2. Xu, W., Huang, T., & Wang, L. (2017). Code-shifted differential chaos shift keying with code index modulation for high data rate transmission. IEEE Transactions on Communications, 65(10), 4285–4294.

    Google Scholar 

  3. Lorenz, H. W., & Nusse, H. E. (2002). Chaotic attractors, chaotic saddles, and fractal basin boundaries: Goodwin’s nonlinear accelerator model reconsidered. Chaos, Solitons & Fractals, 13(5), 957–965.

    Article  MathSciNet  MATH  Google Scholar 

  4. Aihara, K. (2002). Chaos engineering and its application to parallel distributed processing with chaotic neural networks. Proceedings of the IEEE, 90(5), 919–930.

    Article  Google Scholar 

  5. Zhang, G., Zhao, C., & Zhang, T. (2020). Performance analysis of MISO-MU-OHE-DCSK system over Rayleigh fading channels. AEU-International Journal of Electronics and Communications, 115, 153048.

    Google Scholar 

  6. Miao, M., Wang, L., Chen, G., et al. (2020). Design and analysis of replica piecewise M-ary DCSK scheme for power line communications with asynchronous impulsive noise. IEEE Transactions on Circuits and Systems I: Regular Papers, 67(12), 5443–5453.

    Article  Google Scholar 

  7. Kaddoum, G., Tran, H. V., Kong, L., et al. (2016). Design of simultaneous wireless information and power transfer scheme for short reference DCSK communication systems. IEEE Transactions on Communications, 65(1), 431–443.

    Google Scholar 

  8. Liu, Z., Zhang, L., Wu, Z., et al. (2019). A secure and robust frequency and time diversity aided OFDM-DCSK modulation system not requiring channel state information. IEEE Transactions on Communications, 68(3), 1684–1697.

    Article  Google Scholar 

  9. Chen, C. C., & Yao, K. (2000). Stochastic-calculus-based numerical evaluation and performance analysis of chaotic communication systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 47(12), 1663–1672.

    Article  MathSciNet  MATH  Google Scholar 

  10. Dawa, M., Kaddoum, G., & Sattar, Z. (2017). A generalized lower bound on the bit error rate of DCSK systems over multi-path Rayleigh fading channels. IEEE Transactions on Circuits and Systems II: Express Briefs, 65(3), 321–325.

    Google Scholar 

  11. Sushchik, M., Tsimring, L. S., & Volkovskii, A. R. (2000). Performance analysis of correlation-based communication schemes utilizing chaos. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 47(12), 1684–1691.

    Article  Google Scholar 

  12. Cai, G., Fang, Y., Han, G., et al. (2017). A new hierarchical \(M\)-ary DCSK communication system: Design and analysis. IEEE Access, 5, 17414–17424.

    Article  Google Scholar 

  13. Taleb, F., Bendimerad, F. T., & Roviras, D. (2016). Very high efficiency differential chaos shift keying system. IET Communications, 10(17), 2300–2307.

    Article  Google Scholar 

  14. Quyen, N. X. (2017). On the study of a quadrature DCSK modulation scheme for cognitive radio. International Journal of Bifurcation and Chaos, 27(09), 1750135.

    Article  MathSciNet  Google Scholar 

  15. Kaddoum, G., Soujeri, E., & Nijsure, Y. (2016). Design of a short reference noncoherent chaos-based communication systems. IEEE Transactions on Communications, 64(2), 680–689.

    Article  Google Scholar 

  16. Kaddoum, G., Richardson, F. D., & Gagnon, F. (2013). Design and analysis of a multi-carrier differential chaos shift keying communication system. IEEE Transactions on Communications, 61(8), 3281–3291.

    Article  Google Scholar 

  17. Huang, T., Chen, W., & Yang D, et al. (2021). Design and performance analysis of multicarrier M-ary differential chaos shift keying system. In 2021 15th international symposium on medical information and communication technology (ISMICT). IEEE, 211–214.

  18. Liu, S., Chen, P., & Chen, G. (2021). Differential permutation index DCSK modulation for chaotic communication system. IEEE Communications Letters, 25(6), 2029–2033.

    Article  Google Scholar 

  19. Cai, X., Xu, W., Hong, S., et al. (2020). A trinal-code shifted differential chaos shift keying system. IEEE Communications Letters, 25(3), 1000–1004.

    Article  Google Scholar 

  20. Ren, H. P., Yin, H. P., Bai, C., et al. (2020). Performance improvement of chaotic baseband wireless communication using echo state network. IEEE Transactions on Communications, 68(10), 6525–6536.

    Article  Google Scholar 

  21. Pareek, N. K., Patidar, V., & Sud, K. K. (2006). Image encryption using chaotic logistic map. Image and Vision Computing, 24(9), 926–934.

    Article  Google Scholar 

  22. Yoshida, T., Mori, H., & Shigematsu, H. (1983). Analytic study of chaos of the tent map: band structures, power spectra, and critical behaviors. Journal of Statistical Physics, 31(2), 279–308.

    Article  MathSciNet  Google Scholar 

  23. Cai, X., Xu, W., Wang, L., et al. (2019). Multicarrier \(M\)-ary orthogonal chaotic vector shift keying with index modulation for high data rate transmission. IEEE Transactions on Communications, 68(2), 974–986.

    Article  Google Scholar 

  24. Fang, Y., Han, G., Chen, P., et al. (2016). A survey on DCSK-based communication systems and their application to UWB scenarios. IEEE Communications Surveys & Tutorials, 18(3), 1804–1837.

    Article  Google Scholar 

  25. Herceg, M., Kaddoum, G., Vranješ, D., et al. (2017). Permutation index DCSK modulation technique for secure multiuser high-data-rate communication systems. IEEE Transactions on Vehicular Technology, 67(4), 2997–3011.

    Article  Google Scholar 

  26. Yang, H., Xu, S. Y., & Jiang, G. P. (2020). A high data rate solution for differential chaos shift keying based on carrier index modulation. IEEE Transactions on Circuits and Systems II: Express Briefs, 68(4), 1487–1491.

    Google Scholar 

  27. Yang, H., Tang, W. K. S., Chen, G., et al. (2016). System design and performance analysis of orthogonal multi-level differential chaos shift keying modulation scheme. IEEE Transactions on Circuits and Systems I: Regular Papers, 63(1), 146–156.

    Article  Google Scholar 

  28. Gang, Z., Lianbing, X. U., & Tianqi, Z. (2019). NISI-MU-CDSK communication system based on frequency division multiplexing. Journal of Shanghai Jiaotong University, 53(5), 575.

    Google Scholar 

  29. Gang, Z., Zejin, L. I., & Tianqi, Z. (2016). A novel MU-FM-DCSK secure communication system. Journal of Shanghai Jiaotong University, 50(05), 776.

    Google Scholar 

  30. He, L., Chen, J., & Zhang, T. (2020). Performance analysis of short reference multi-user differential chaos shift keying communication system. Journal of Electronics and Information Technology, 42(8), 1902–1909.

    Google Scholar 

  31. Gang, Z., Chuangang, W., & Tianqi, Z. (2017). Performance analysis of MU-DCSK system based on orthogonal chaotic carrier. Journal of Systems Engineering and Electronics, 39(2), 431–436.

    Google Scholar 

  32. Yang, H., & Jiang, G. P. (2012). High-efficiency differential-chaos-shift-keying scheme for chaos-based noncoherent communication. IEEE Transactions on Circuits and Systems II: Express Briefs, 59(5), 312–316.

    Google Scholar 

Download references

Funding

This work is supported by the National Natural Science Foundation of China (No. 61771085), Research Project of Chongqing Educational Commission (KJ1600407, KJQN201900601).

Author information

Authors and Affiliations

  1. School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Gang Zhang & Rongcai Lai

  2. Cyberspace Administration of Guizhou Province, Guiyang, 550000, China

    Zhongjun Jiang

Authors
  1. Gang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rongcai Lai
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhongjun Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

GZ: Conceptualization, writing - review &editing, funding acquisition. RL: software, validation, writing - original. ZJ: methodology, supervision, project administration.

Corresponding author

Correspondence to Zhongjun Jiang.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Ethics approval

Not applicable.

Consent to participate

I understand that my participation is voluntary and I agree it.

Code availability

Not applicable.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, G., Lai, R. & Jiang, Z. A Noise Reducing Multi-carrier DCSK Communication System Based on Carrier Phase and Code Index Modulation. Wireless Pers Commun 130, 1295–1316 (2023). https://doi.org/10.1007/s11277-023-10332-4

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-023-10332-4

Keywords

Search

Navigation