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A novel detection of periodic phenomena of binary chaotic sequences

Zheng Yan-Bin Song Yu Du Bao-Xiang Pan Jing Ding Qun

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A novel detection of periodic phenomena of binary chaotic sequences

Zheng Yan-Bin, Song Yu, Du Bao-Xiang, Pan Jing, Ding Qun
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  • For any digital chaotic sequence generator, evaluating periodic characteristics which exist in only part of domains of binary chaotic sequences is extremely difficult. In this paper, we present a method which we name the binary sequence period detection (BSPD). The BSPD is a novel detection which evaluates the periodicity in a binary chaotic sequence, by which both the accurate-periodic phenomena and periodic phenomena in part of domains can be detected. Moreover, any periodic phenomenon pattern of a binary sequence can be located by the BSPD method. The experimental results show that the BSPD can detect and extract the periodic phenomena of the classical Logistic chaotic sequence generators.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 60672011).
    [1]

    Jakimoski G, Kocarev L 2001 IEEE Trans. Circuits and Systems I 48 163

    [2]

    Kocarev L 2001 IEEE Circuits and Systems Magazine 1 6

    [3]

    Baptista M S 1998 Phys. Lett. A 240 50

    [4]

    Kohda T 2002 Proceedings IEEE 90 641

    [5]

    Masuda N, Aihara K 2002 IEEE Trans. Circuits and Systems I 49 28

    [6]

    Mazzini G, Setti G, Rovatti R 1997 IEEE Trans. Circuits and Systems I 44 937

    [7]

    Liao N H, Gao J F 2006 J. Elec. Inf. Tech. 28 1255 (in Chinese) [廖旎焕, 高金峰 2006 电子与信息学报 28 1255]

    [8]

    Wu H, Ding Q, Zhou P 2009 CIMCTC' 2012 Harbin, July 23-26 2009, pp372-375 (in Chinese) [巫红, 丁群, 周平 2009 中国仪器仪表与测控技术大会, 哈尔滨, 2009年7月23—26日, pp372-375]

    [9]

    Van Wiggeren G D, Roy R 1998 Science 279 1198

    [10]

    Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821

    [11]

    Cuomo K M, Oppenheim A V 1993 Phys. Rev. Lett. 71 65

    [12]

    Kocarev L, Parlitz U 1995 Phys. Rev. Lett. 74 5028

    [13]

    Boccaletti S, Kurths J Osipov G, Valladares D L, Zhou C S 2002 Phys. Rep. 366 1

    [14]

    Ruelle D 1989 Chaotic Evolution and Strange Attractors: the Statistical Analysis of Time Series for Deterministic Nonlinear Systems (New York: Cambridge University Press) pp28-33

    [15]

    Sang T, Wang R L, Yan Y X 2001 IEEE Trans. Commun. 49 620

    [16]

    Kanso A, Smaoui N 2009 Chaos, Solitons and Fractals 40 2557

    [17]

    Jiang H Y, Fu C A 2008 Proceedings of 2008 International Conference on Intelligent Computation Technology and Automation (Vol. 2) Changsha, October 20-22 2008 pp60-64

    [18]

    Chen S L, Hwang T T, Lin W W 2010 IEEE Trans. Circuits and Systems II 57 996

    [19]

    Kohda T, Tsuneda A 1997 IEEE Trans. Information Theory 43 104

    [20]

    L'Ecuyer P 2006 Handbooks in Operations Research and Management Science: Simulation (Amsterdam: Elsevier B V) pp55-81

    [21]

    James F 1990 Comput. Phys. Commun. 60 329

    [22]

    Bresten C L, Jung J H 2009 Communications in Nonlinear Science and Numerical Simulation 14 3076

    [23]

    Cheng L Y, Quan J B 2010 J. Comut. Appl. 30 1802 (in Chinese) [盛利元, 全俊斌 2010 计算机应用 30 1802]

    [24]

    Fan J L, Zhang X F 2009 Acta Electron. Sin. 4 720 (in Chinese) [范九伦, 张雪峰 2009 电子学报 4 720]

    [25]

    Kohda T, Tsuneda A 1993 IEICE Trans. Commun. E 76_B 855

    [26]

    Liu N S H 2011 Communications in Nonlinear Science and Numerical Simulation 16 761

    [27]

    Tsuneda A 2005 IEEE Trans. Circuits and Systems I 52 454

    [28]

    Jessa M 2002 IEEE Trans. Circuits and Systems I 49 84

    [29]

    Kleiner B 1977 Technometrics 19 343

    [30]

    Rukhin A, Soto J, Nechvatal J, Smid M, Barker E, Leigh S, Levenson M, Vangel M, Banks D, Heckert A, Dray J, Vo S 2001 A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications (Gaithersburg, MD, USA: NIST) p1, pp18-21

    [31]

    L'Ecuyer P, Simard R 2007 ACM Trans. Math Software 33 1

    [32]

    McCullough B D 2006 J. Appl. Econ. 21 677

    [33]

    Xiang F, Qiu S S 2008 IEEE Commun. Lett. 12 337

    [34]

    Zhang S R, Mei W H, Wang T C, Deng X Y 2000 Journal of China Institute of Communications 21 45 (in Chinese) [张申如, 梅文华, 王庭昌, 邓晓燕 2000 通信学报 21 45]

    [35]

    Li C Y, Chen Y H, Chang T Y, Deng L Y, Kiwing T 2012 IEEE Trans. VLSI Systems 20 385

  • [1]

    Jakimoski G, Kocarev L 2001 IEEE Trans. Circuits and Systems I 48 163

    [2]

    Kocarev L 2001 IEEE Circuits and Systems Magazine 1 6

    [3]

    Baptista M S 1998 Phys. Lett. A 240 50

    [4]

    Kohda T 2002 Proceedings IEEE 90 641

    [5]

    Masuda N, Aihara K 2002 IEEE Trans. Circuits and Systems I 49 28

    [6]

    Mazzini G, Setti G, Rovatti R 1997 IEEE Trans. Circuits and Systems I 44 937

    [7]

    Liao N H, Gao J F 2006 J. Elec. Inf. Tech. 28 1255 (in Chinese) [廖旎焕, 高金峰 2006 电子与信息学报 28 1255]

    [8]

    Wu H, Ding Q, Zhou P 2009 CIMCTC' 2012 Harbin, July 23-26 2009, pp372-375 (in Chinese) [巫红, 丁群, 周平 2009 中国仪器仪表与测控技术大会, 哈尔滨, 2009年7月23—26日, pp372-375]

    [9]

    Van Wiggeren G D, Roy R 1998 Science 279 1198

    [10]

    Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821

    [11]

    Cuomo K M, Oppenheim A V 1993 Phys. Rev. Lett. 71 65

    [12]

    Kocarev L, Parlitz U 1995 Phys. Rev. Lett. 74 5028

    [13]

    Boccaletti S, Kurths J Osipov G, Valladares D L, Zhou C S 2002 Phys. Rep. 366 1

    [14]

    Ruelle D 1989 Chaotic Evolution and Strange Attractors: the Statistical Analysis of Time Series for Deterministic Nonlinear Systems (New York: Cambridge University Press) pp28-33

    [15]

    Sang T, Wang R L, Yan Y X 2001 IEEE Trans. Commun. 49 620

    [16]

    Kanso A, Smaoui N 2009 Chaos, Solitons and Fractals 40 2557

    [17]

    Jiang H Y, Fu C A 2008 Proceedings of 2008 International Conference on Intelligent Computation Technology and Automation (Vol. 2) Changsha, October 20-22 2008 pp60-64

    [18]

    Chen S L, Hwang T T, Lin W W 2010 IEEE Trans. Circuits and Systems II 57 996

    [19]

    Kohda T, Tsuneda A 1997 IEEE Trans. Information Theory 43 104

    [20]

    L'Ecuyer P 2006 Handbooks in Operations Research and Management Science: Simulation (Amsterdam: Elsevier B V) pp55-81

    [21]

    James F 1990 Comput. Phys. Commun. 60 329

    [22]

    Bresten C L, Jung J H 2009 Communications in Nonlinear Science and Numerical Simulation 14 3076

    [23]

    Cheng L Y, Quan J B 2010 J. Comut. Appl. 30 1802 (in Chinese) [盛利元, 全俊斌 2010 计算机应用 30 1802]

    [24]

    Fan J L, Zhang X F 2009 Acta Electron. Sin. 4 720 (in Chinese) [范九伦, 张雪峰 2009 电子学报 4 720]

    [25]

    Kohda T, Tsuneda A 1993 IEICE Trans. Commun. E 76_B 855

    [26]

    Liu N S H 2011 Communications in Nonlinear Science and Numerical Simulation 16 761

    [27]

    Tsuneda A 2005 IEEE Trans. Circuits and Systems I 52 454

    [28]

    Jessa M 2002 IEEE Trans. Circuits and Systems I 49 84

    [29]

    Kleiner B 1977 Technometrics 19 343

    [30]

    Rukhin A, Soto J, Nechvatal J, Smid M, Barker E, Leigh S, Levenson M, Vangel M, Banks D, Heckert A, Dray J, Vo S 2001 A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications (Gaithersburg, MD, USA: NIST) p1, pp18-21

    [31]

    L'Ecuyer P, Simard R 2007 ACM Trans. Math Software 33 1

    [32]

    McCullough B D 2006 J. Appl. Econ. 21 677

    [33]

    Xiang F, Qiu S S 2008 IEEE Commun. Lett. 12 337

    [34]

    Zhang S R, Mei W H, Wang T C, Deng X Y 2000 Journal of China Institute of Communications 21 45 (in Chinese) [张申如, 梅文华, 王庭昌, 邓晓燕 2000 通信学报 21 45]

    [35]

    Li C Y, Chen Y H, Chang T Y, Deng L Y, Kiwing T 2012 IEEE Trans. VLSI Systems 20 385

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Publishing process
  • Received Date:  01 April 2012
  • Accepted Date:  18 June 2012
  • Published Online:  05 December 2012

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