改进型Hénon映射生成混沌伪随机序列及性能分析

李家标; 曾以成; 陈仕必; 陈家胜

doi:10.7498/aps.60.060508

摘要

提出一种改进传统Hénon映射的方法.该方法通过引入绝对值项改变映射系统的内部结构,大大提高了映射系统的线性复杂度和初值敏感性.利用混沌系统生成伪随机序列,进一步对比分析了映射系统生成的伪随机序列的性能.理论分析和实验仿真表明,改进后的映射系统比原系统生成的序列质量有很大提高,验证了该方法的有效性.

关键词:

A method of improving the traditional Hénon map is proposed in the paper. The internal structure of the system is changed by adopting absolute value term. The linear complexity and sensitivity to initial conditions of the proposed system have been greatly enhanced. The performance of pseudorandom-bit sequences which are generated by the proposed system is analyzed in comparison with the ones that are generated by chaotic system. The performance of the sequence generated by the proposed system is improved compared with the original system. Theoretical analysis and the simulation results show the feasibility of the method.

Keywords:

作者及机构信息

1.
湘潭大学光电工程系智能光电技术研究所, 湘潭 411105

基金项目: 国家自然科学基金(批准号: 60972147)资助的课题.

Authors and contacts

1.
Department of Optoelectronic Engineering, Institute of Intelligent Optoelectronic Technology, Xiangtan University, Xiangtan 411105, China

参考文献

[1]	Fu Z J, Zeng Y C, Xu M L 2008 Acta Phys. Sin. 57 4014 ( in Chinese) [付志坚、曾以成、徐茂林 2008 物理学报 57 4014]
[2]	Li H 2004 Chao. Digi. Commun. (Beijing: Qinghua University Press) p142 (in Chinese) [李辉 2004 混沌数字通信 (北京: 清华大学出版社) 第142页.]
[3]	Zheng F, Tian X J, Song J Y, Li X Y 2008 J. China Univers. Posts. Telecommun. 15(3) 64
[4]	Ernesto P, Borges A, Ugur Tirnakli B 2004 Physica D 193 148
[5]	Richter H 2002 Inter. J. Bifurcat. Chaos 12 1371
[6]	Shawn D P, Ned J 2006 Phys. Rev. Lett. 96 034105
[7]	Pellicer-Lostao C, Lo’pez-Ruiz R 2008 arXiv: 0801 3982
[8]	Chieko M, Wakako M 2002 Chaos Solit. Fract. 14 1
[9]	Luo L J, Li Y S, Li T, Dong Q T 2005 Compu. Simulat. 12 0285 (in Chinese)[罗利军、李银山、李彤、董青田 2005 计算机仿真 12 0285 ]
[10]	Bandt C, Pompe B 2002 Phys. Rev. Lett. 88 174102.
[11]	Sun K H, Tan G Q, Sheng L Y 2008 Acta Phys. Sin. 57 3359 (in Chinese) [孙克辉、谈国强、盛利元 2008 物理学报 57 3359]
[12]	Wang X G, Zhan M, Gong X F 2005 Phys. Lett. A 334 30
[13]	Sheng L Y, Xiao Y Y,Sheng Z 2008 Acta Phys. Sin. 57 4007 (in Chinese) [盛利元、肖燕予、盛喆 2008 物理学报 57 4007]
[14]	Yu Z B, Feng J C 2008 Acta Phys. Sin. 57 1409 (in Chinese) [余振标、冯久超 2008 物理学报 57 1409]

施引文献

[1]	Fu Z J, Zeng Y C, Xu M L 2008 Acta Phys. Sin. 57 4014 ( in Chinese) [付志坚、曾以成、徐茂林 2008 物理学报 57 4014]
[2]	Li H 2004 Chao. Digi. Commun. (Beijing: Qinghua University Press) p142 (in Chinese) [李辉 2004 混沌数字通信 (北京: 清华大学出版社) 第142页.]
[3]	Zheng F, Tian X J, Song J Y, Li X Y 2008 J. China Univers. Posts. Telecommun. 15(3) 64
[4]	Ernesto P, Borges A, Ugur Tirnakli B 2004 Physica D 193 148
[5]	Richter H 2002 Inter. J. Bifurcat. Chaos 12 1371
[6]	Shawn D P, Ned J 2006 Phys. Rev. Lett. 96 034105
[7]	Pellicer-Lostao C, Lo’pez-Ruiz R 2008 arXiv: 0801 3982
[8]	Chieko M, Wakako M 2002 Chaos Solit. Fract. 14 1
[9]	Luo L J, Li Y S, Li T, Dong Q T 2005 Compu. Simulat. 12 0285 (in Chinese)[罗利军、李银山、李彤、董青田 2005 计算机仿真 12 0285 ]
[10]	Bandt C, Pompe B 2002 Phys. Rev. Lett. 88 174102.
[11]	Sun K H, Tan G Q, Sheng L Y 2008 Acta Phys. Sin. 57 3359 (in Chinese) [孙克辉、谈国强、盛利元 2008 物理学报 57 3359]
[12]	Wang X G, Zhan M, Gong X F 2005 Phys. Lett. A 334 30
[13]	Sheng L Y, Xiao Y Y,Sheng Z 2008 Acta Phys. Sin. 57 4007 (in Chinese) [盛利元、肖燕予、盛喆 2008 物理学报 57 4007]
[14]	Yu Z B, Feng J C 2008 Acta Phys. Sin. 57 1409 (in Chinese) [余振标、冯久超 2008 物理学报 57 1409]

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