Skip to main content
Log in

Hyperchaotic spread spectrum sequences selection and its application in DS-CDMA system

  • Published:
Radioelectronics and Communications Systems Aims and scope Submit manuscript

Abstract

In this paper we propose a new algorithm for hyperchaotic spread spectrum sequences selection. Firstly, binary hyperchaotic spread spectrum sequences are generated by a 6-order cellular neural network (CNN). Secondly, we analyze the properties of the sequences according to the P-values and correlation function. Finally, a new algorithm proposed for hyperchaotic spread spectrum sequences selection is based on the properties of hyperchaotic sequences. In order to prove the effectiveness of the proposed selection algorithm, some of the selected hyperchaotic sequences are applied in direct sequence code division multiple access (DS-CDMA) system. Simulation results show that the selected hyperchaotic sequences have better performance than m-sequences and have similar performance with Gold sequences. Compared with m-sequences or Gold sequences, hyperchaotic spread spectrum sequences are better suitable for secure communication systems.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. O. E. Rossler, “An equation for hyperchaos,” Phys. Lett. A 71, No. 2, 155 (Apr. 1979), DOI: 10.1016/0375–9601(79)90150–6.

  2. G. Grassi, S. Mascolo, “A system theory approach for designing cryptosystems based on hyperchaos,” IEEE Trans. Circuits, Syst. I: Fund. Theory and Applications 46, No. 9, 1135 (Sep. 1999), DOI: 10.1109/81.788815.

    Article  MATH  Google Scholar 

  3. Zuo Zhang, Junli Zheng, Xiangchao Jian, “A-CDMA system simulation with chaotic spreading sequences,” J. Tsinghua Univ. 42, No. 7, 901 (2002), http://caod.oriprobe.com/articles/5173719/A_CDMA_system_simulation_with_chaotic_spreading_sequences.htm.

    Google Scholar 

  4. A. Ziani, A. Medouri, “Analysis of different Pseudo-Random and orthogonal spreading sequences in DS-CDMA,” in Proc. of Int. Conf. on Multimedia Computing and Systems, ICMCS, 10–12 May 2012, Tangier (IEEE, 2012), pp. 558–564, DOI: 10.1109/ICMCS.2012.6320321.

    Google Scholar 

  5. Shi-biao He, Dong-mei Luo, Cheng Gu, “Anti-jamming performance analysis of optimal chaotic spread spectrum sequences,” J. Comput. Applications 30, 2843 (2010), DOI: 10.3724/SP.J.1087.2010.02843.

    Article  Google Scholar 

  6. K. Usha, K. J. Sankar, “Performance analysis of new binary user codes for DS-CDMA communication over Rayleigh fading channel,” in Proc. of Annual Int. Conf. on Emerging Research Areas and Int. Conf. on Microelectronics, Communications and Renewable Energy, AICERA/ICMiCR, 4–6 June 2013, Kanjirapally (IEEE, 2013), pp. 1–5, DOI: 10.1109/AICERA-ICMiCR.2013.6576001.

    Google Scholar 

  7. S. Jos, J. P. Nair, D. Sen, A. Naniyat, “Method of generating multiple sets of orthogonal codes with wide choice of spreading factors,” IEEE Wireless Commun. Lett. 1, No. 5, 492 (Oct. 2012), DOI: 10.1109/WCL.2012.070512.110270.

    Article  Google Scholar 

  8. Zhilu Wu, Nan Zhao, Lingjie Duan, Taifan Quan, “A novel hyperchaotic spreading code and its application to 2D-CDMA,” in Proc. of 11th IEEE Singapore Int. Conf. on Communication Systems, ICCS, 19–21 Nov. 2008, Guangzhou (IEEE, 2008), pp. 456–460, DOI: 10.1109/ICCS.2008.4737225.

    Google Scholar 

  9. L. Chua, L. Yang, “Cellular neural networks: theory,” IEEE Trans. Circuits Syst. 35, No. 10, 1257 (Oct. 1988).

    Article  MATH  MathSciNet  Google Scholar 

  10. L. Chua, L. Yang, “Cellular neural networks: applications,” IEEE Trans. Circuits Syst. 35, No. 10, 1273 (1988).

    Article  MathSciNet  Google Scholar 

  11. P. Arena, S. Baglio, L. Fortuna, G. Manganaro, “Hyperchaos from cellular neural networks,” Electron. Lett. 31, No. 4, 250 (1995), DOI: 10.1049/el:19950189.

    Article  Google Scholar 

  12. Bing Fan, Liang-Rui Tang, “A new five-dimensional hyperchaotic system and its application in DS-CDMA,” in Proc. of 9th Int. Conf. on Fuzzy Systems and Knowledge Discovery, FSKD, 29–31 May 2012, Sichuan (IEEE, 2012), pp. 2069–2073, DOI: 10.1109/FSKD.2012.6233786.

    Google Scholar 

  13. Xingyuan Wang, Bing Xu, Chao Luo, “An asynchronous communication system based on the hyperchaotic system of 6th-order cellular neural network,” Optics Communications 285, No. 24, 5401 (Nov. 2012), DOI: 10.1016/j.optcom.2012.07.032.

  14. Xingyuan Wang, Bing Xu, Huaguang Zhang, “A multi-array number communication system based on hyperchaotic system of 6th-order cellular neural network,” Commun. Nonlinear Sci. Numerical Simulation 15, No. 1, 124 (Jan. 2010), DOI: 10.1016/j.cnsns.2009.03.035.

  15. Yaqin Zhao, Shuying Li, Huan Lian, Zhilu Wu, “A six-dimensional hyperchaotic system selection and its application in DS-CDMA system,” J. Commun. 9, No. 11, 859 (Nov. 2014), DOI: 10.12720/jcm.9.11.859–866.

  16. N. Zhao, “Applications of cellular neural networks in CDMA communication systems,” Master’s thesis, Harbin Institute of Technology (Harbin, 2007).

    Google Scholar 

  17. K. Ramasubramanian, M. S. Sriram, “A comparative study of computation of Lyapunov spectra with different algorithms,” Physica D: Nonlinear Phenomena 139, No. 1–2, 72 (2000), DOI: 10.1016/S0167–2789(99)00234–1.

    Article  MATH  MathSciNet  Google Scholar 

  18. A statistical test suite for random and pseudorandom number generator for cryptographic applications. NIST Special Publication 800–22 Revision 1a (2010).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shuying Li.

Additional information

Original Russian Text © S. Li, H. Lian, Y. Zhao, Z. Wu, 2015, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2015, Vol. 58, No. 9, pp. 23–32.

This work was partially supported by the National Natural Science Foundation of China under Grant No. 61102085, and Natural Scientific Research Innovation Foundation in Harbin Institute of Technology under Project No. HIT.NSRIF 201151.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, S., Lian, H., Zhao, Y. et al. Hyperchaotic spread spectrum sequences selection and its application in DS-CDMA system. Radioelectron.Commun.Syst. 58, 404–410 (2015). https://doi.org/10.3103/S0735272715090022

Download citation

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0735272715090022

Keywords

Navigation