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A cyclic iteration structure pseudo-random sequence generating method based on combined LFSR and chaotic systems is presented. Firstly, a choice function is chosen based on LFSRs computing result, and the selected chaotic function is used for generating the corresponding chaotic sequence by using iterative computation. The chaotic sequence is processed by binary system transformation, and the generated binary sequence is output as the end pseudo-random sequence. At the same time, the generated binary sequence is used as feedback value and operates with the LFSRs feedback value, the corresponding result is taken as the final feedback of LFSR. This process can achieve random perturbation of LFSR. And a real number pseudo-random sequence generating method is also presented. Performance of pseudo-random sequence generated by using our method is also analyzed by experiment, and simulation results show that the generated sequences have qualities of randomicity and security.
[1] ［1］Li N, Qi W F 2006 IEEE Trans. Inf. Theor. 52 2271
[2] ［2］Wang K, Pei W J, Xia H S, Cheung Y M 2008 Phys. Lett. A 372 4388
[3] ［3］Gao J T, Dong L H, Hu Y P 2006 Chin. J. Comput. 29 936 (in Chinese) ［高军涛、董丽华、胡予濮 2006 计算机学报 29 936］
[4] ［4］Xiao H, Xiao G Z, Wang X M 2008 J. Xidian Univ. (Nat. Sci.) 35 76 (in Chinese) ［肖鸿、肖国镇、王新梅 2008 西安电子科技大学学报 (自然科学版) 35 76］
[5] ［5］Zeng G, He K C, Han W B 2007 Sci. Chin. Ser. E 37 209 (in Chinese) ［曾光、何开成、韩文报 2007 中国科学E辑 (信息科学) 37 209］
[6] ［6］Xiao H, Zhang C R, Xiao G Z, Wang X M 2008 J. Commun. 29 210 (in Chinese) ［肖鸿、张串绒、肖国镇、王新梅 2008 通信学报 29 210］
[7] ［7］Huang X L, Wu C K 2008 J. Software 19 1256 (in Chinese) ［黄小莉、武传坤 2008 软件学报 19 1256］
[8] ［8］Jin C H, Shi J H, Deng H 2008 J. Electron. Inf. Tech. 30 665 (in Chinese) ［金晨辉、史建红、邓辉 2008电子与信息学报 30 665］
[9] ［9］Zhang B, Feng D G 2006 Sci. Chin. Ser. E 36 357 (in Chinese) ［张斌、冯登国 2006 中国科学E辑 (信息科学) 2 36 357］
[10] ］Narendra S, Aloka S 2009 Opt. Commun. 282 1104
[11] ］Ausloos M, Dirickx M 2006 The Logistic Map and the Route to Chaos (Berlin: Springer-Verlag) p36
[12] ］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］
[13] ］Zhang Q C, Tian R L, Wang W 2008 Acta Phys. Sin. 57 2799 (in Chinese) ［张琪昌、田瑞兰、王炜 2008 物理学报 57 2799］
[14] ］Wang Y F, Shen H B, Yan X L 2006 J. Zhejiang Univ. (Engng. Sci. ) 40 1972 (in Chinese) ［王云峰、沈海斌、严晓浪 2006 浙江大学学报 (工学版) 40 1972］
[15] ］Zhan M, Zhang C F 2006 J. Electron. Info. Tech. 28 2351 (in Chinese) ［詹明、张翠芳 2006 电子与信息学报 28 2351］
[16] ］Behnia S, Akhshani A, Mahmodi H, Akhavan A 2008 Chaos Soliton. Fract. 35 408
[17] ］Pareek N K, Patidar V, Sud K K 2006 Image Vision Comput. 24 926
[18] ］Wang X Y, Wang M J 2008 Acta Phys. Sin. 57 731 (in Chinese) ［王兴元、王明军 2008 物理学报 57 731］
[19] ］Yang R, Zhang B 2006 Acta Phys. Sin. 55 5667 (in Chinese) ［杨汝、张波 2006 物理学报 55 5667］
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[1] ［1］Li N, Qi W F 2006 IEEE Trans. Inf. Theor. 52 2271
[2] ［2］Wang K, Pei W J, Xia H S, Cheung Y M 2008 Phys. Lett. A 372 4388
[3] ［3］Gao J T, Dong L H, Hu Y P 2006 Chin. J. Comput. 29 936 (in Chinese) ［高军涛、董丽华、胡予濮 2006 计算机学报 29 936］
[4] ［4］Xiao H, Xiao G Z, Wang X M 2008 J. Xidian Univ. (Nat. Sci.) 35 76 (in Chinese) ［肖鸿、肖国镇、王新梅 2008 西安电子科技大学学报 (自然科学版) 35 76］
[5] ［5］Zeng G, He K C, Han W B 2007 Sci. Chin. Ser. E 37 209 (in Chinese) ［曾光、何开成、韩文报 2007 中国科学E辑 (信息科学) 37 209］
[6] ［6］Xiao H, Zhang C R, Xiao G Z, Wang X M 2008 J. Commun. 29 210 (in Chinese) ［肖鸿、张串绒、肖国镇、王新梅 2008 通信学报 29 210］
[7] ［7］Huang X L, Wu C K 2008 J. Software 19 1256 (in Chinese) ［黄小莉、武传坤 2008 软件学报 19 1256］
[8] ［8］Jin C H, Shi J H, Deng H 2008 J. Electron. Inf. Tech. 30 665 (in Chinese) ［金晨辉、史建红、邓辉 2008电子与信息学报 30 665］
[9] ［9］Zhang B, Feng D G 2006 Sci. Chin. Ser. E 36 357 (in Chinese) ［张斌、冯登国 2006 中国科学E辑 (信息科学) 2 36 357］
[10] ］Narendra S, Aloka S 2009 Opt. Commun. 282 1104
[11] ］Ausloos M, Dirickx M 2006 The Logistic Map and the Route to Chaos (Berlin: Springer-Verlag) p36
[12] ］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］
[13] ］Zhang Q C, Tian R L, Wang W 2008 Acta Phys. Sin. 57 2799 (in Chinese) ［张琪昌、田瑞兰、王炜 2008 物理学报 57 2799］
[14] ］Wang Y F, Shen H B, Yan X L 2006 J. Zhejiang Univ. (Engng. Sci. ) 40 1972 (in Chinese) ［王云峰、沈海斌、严晓浪 2006 浙江大学学报 (工学版) 40 1972］
[15] ］Zhan M, Zhang C F 2006 J. Electron. Info. Tech. 28 2351 (in Chinese) ［詹明、张翠芳 2006 电子与信息学报 28 2351］
[16] ］Behnia S, Akhshani A, Mahmodi H, Akhavan A 2008 Chaos Soliton. Fract. 35 408
[17] ］Pareek N K, Patidar V, Sud K K 2006 Image Vision Comput. 24 926
[18] ］Wang X Y, Wang M J 2008 Acta Phys. Sin. 57 731 (in Chinese) ［王兴元、王明军 2008 物理学报 57 731］
[19] ］Yang R, Zhang B 2006 Acta Phys. Sin. 55 5667 (in Chinese) ［杨汝、张波 2006 物理学报 55 5667］
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