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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.
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Keywords:
- Hénon map /
- pseudorandom-bit sequences /
- performance analysis
[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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[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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