Hyperchaotic spread spectrum sequences selection and its application in DS-CDMA system
DOI:
https://doi.org/10.3103/S0735272715090022Keywords:
DS-CDMA, CNN, hyperchaotic system, hyperchaotic spread spectrum sequences, cellular neural networkAbstract
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.References
ROSSLER, O.E. An equation for hyperchaos. Phys. Lett. A, Apr. 1979, v.71, n. 2, p.155-157, DOI: http://dx.doi.org/10.1016/0375-9601(79)90150-6.
GRASSI, G.; MASCOLO, S. A system theory approach for designing cryptosystems based on hyperchaos. IEEE Trans. Circuits, Syst. I: Fund. Theory and Applications, Sep. 1999, v.46, n.9, p.1135-1138, DOI: http://dx.doi.org/10.1109/81.788815.
ZHANG, ZUO; ZHENG, JUNLI; JIAN, XIANGCHAO. A-CDMA system simulation with chaotic spreading sequences. J. Tsinghua Univ., 2002, v.42, n.7, p.901-904, http://caod.oriprobe.com/articles/5173719/A_CDMA_system_simulation_with_chaotic_spreading_sequences.htm.
ZIANI, A.; MEDOURI, A. Analysis of different Pseudo-Random and orthogonal spreading sequences in DS-CDMA. Proc. of Int. Conf. on Multimedia Computing and Systems, ICMCS, 10-12 May 2012, Tangier. IEEE, 2012, p.558-564, DOI: http://dx.doi.org/10.1109/ICMCS.2012.6320321.
HE, SHI-BIAO; LUO, DONG-MEI; GU, CHENG. Anti-jamming performance analysis of optimal chaotic spread spectrum sequences. J. Comput. Applications, 2010, v.30, p.2843-2845, DOI: http://dx.doi.org/10.3724/SP.J.1087.2010.02843.
USHA, K.; SANKAR, K.J. Performance analysis of new binary user codes for DS-CDMA communication over Rayleigh fading channel. 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, p.1-5, DOI: http://dx.doi.org/10.1109/AICERA-ICMiCR.2013.6576001.
JOS, S.; NAIR, J.P.; SEN, D.; NANIYAT, A. Method of generating multiple sets of orthogonal codes with wide choice of spreading factors. IEEE Wireless Commun. Lett., Oct. 2012, v.1, n.5, p.492-495, DOI: http://dx.doi.org/10.1109/WCL.2012.070512.110270.
WU, ZHILU; ZHAO, NAN; DUAN, LINGJIE; QUAN, TAIFAN. A novel hyperchaotic spreading code and its application to 2D-CDMA. Proc. of 11th IEEE Singapore Int. Conf. on Communication Systems, ICCS, 19-21 Nov. 2008, Guangzhou. IEEE, 2008, p.456-460, DOI: http://dx.doi.org/10.1109/ICCS.2008.4737225.
CHUA, L.; YANG, L. Cellular neural networks: theory. IEEE Trans. Circuits Syst., Oct. 1988, v.35, n.10, p.1257-1272.
CHUA, L.; YANG, L. Cellular neural networks: applications. IEEE Trans. Circuits Syst., 1988, v.35, n.10, p.1273-1290.
ARENA, P.; BAGLIO, S.; FORTUNA, L.; MANGANARO, G. Hyperchaos from cellular neural networks. Electron. Lett., 1995, v.31, n.4, p.250-251, DOI: http://dx.doi.org/10.1049/el:19950189.
FAN, BING; TANG, LIANG-RUI. A new five-dimensional hyperchaotic system and its application in DS-CDMA. Proc. of 9th Int. Conf. on Fuzzy Systems and Knowledge Discovery, FSKD, 29-31 May 2012, Sichuan. IEEE, 2012, p.2069-2073, DOI: http://dx.doi.org/10.1109/FSKD.2012.6233786.
WANG, XINGYUAN; XU, BING; LUO, CHAO. An asynchronous communication system based on the hyperchaotic system of 6th-order cellular neural network. Optics Communications, Nov. 2012, v.285, n.24, p.5401-5405, DOI: http://dx.doi.org/10.1016/j.optcom.2012.07.032.
WANG, XINGYUAN; XU, BING; ZHANG, HUAGUANG. A multi-array number communication system based on hyperchaotic system of 6th-order cellular neural network. Commun. Nonlinear Sci. Numerical Simulation, Jan. 2010, v.15, n.1, p.124-133, DOI: http://dx.doi.org/10.1016/j.cnsns.2009.03.035.
ZHAO, YAQIN; LI, SHUYING; LIAN, HUAN; WU, ZHILU. A six-dimensional hyperchaotic system selection and its application in DS-CDMA system. J. Commun., Nov. 2014, v.9, n.11, p.859-866, DOI: http://dx.doi.org/10.12720/jcm.9.11.859-866.
ZHAO, N. Applications of cellular neural networks in CDMA communication systems. Master’s thesis. Harbin: Harbin Institute of Technology, 2007.
RAMASUBRAMANIAN, K.; SRIRAM, M.S. A comparative study of computation of Lyapunov spectra with different algorithms. Physica D: Nonlinear Phenomena, 2000, v.139, n.1-2, p.72-86, DOI: http://dx.doi.org/10.1016/S0167-2789(99)00234-1.
A statistical test suite for random and pseudorandom number generator for cryptographic applications. NIST Special Publication 800-22 Revision 1a, 2010.