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Breaking chaotic direct sequence spreading spectrum communication systems using DM-UKF chaotic fitting method

Gan Lu Xiong Bo

Breaking chaotic direct sequence spreading spectrum communication systems using DM-UKF chaotic fitting method

Gan Lu, Xiong Bo
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  • In this paper, a dual model unscented Kalman filter chaotic fitting breaking method is proposed to break chaotic direct sequence spread spectrum communication systems in the cases of low spreading factor, low signal-to-noise ratio or severe multipath fading. Based on the characteristic that the range of information symbol is a finite set, the proposed algorithm fits the original chaotic signal through different filters which work in parallel. The fitting errors are used to choose the optimum matching filter, thus to estimate the information symbols. Furthermore, an error-controlling-factor is introduced to increase the distance of model based tracking errors, which can not only facilitate the information extracting process, but also reduce the influence of noise and multipath fading. Theoretical analysis and simulation results prove that the proposed algorithm is superior to the existing breaking method.
    • Funds: Project supported by the Science Foundation of China Academy of Engineering Physics, China (Grant No. 2010A0403017) and the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant No. ZYGX2010J027).
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    Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821

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    Zhang J S, Xiao X C 2001 Acta Phys. Sin. 50 2121 (in Chinese) [张家树, 肖先赐 2001 物理学报 50 2121]

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    Sun L, Jiang D P 2006 Acta Phys. Sin. 55 3283 (in Chinese) [孙琳, 姜德平 2006 物理学报 55 3283]

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    Sathyan T, Kirubarajan T 2006 IEEE Trans. Circuits Syst. I 53 1597

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    Li G H, Xu D M, Zhou S P 2004 Acta Phys. Sin. 53 706 (in Chinese) [李国辉, 徐得名, 周世平 2004 物理学报 53 706]

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    Li J F, Li N, Lin H 2004 Acta Phys. Sin. 53 1694 (in Chinese) [李建芬, 李农, 林辉 2004 物理学报 53 1694]

    [11]

    Zhang Y, Chen T Q, Chen B 2007 Acta Phys. Sin. 56 56 (in Chinese) [张勇, 陈天麒, 陈滨 2007 物理学报 56 56]

    [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]

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    Parlitz U, Ergezinger S 1994 Phys. Lett. A 188 146

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    Luca M B, Azou S, Burel G, Serbanescu A 2005 IEEE-ISCAS 2005 Kobe, Japan, 23-26 May 2005 p3813

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    Azou S, Luca M B, Burel G, Serbanescu A 2005 Oceans 2005-Europe Brest, France, June 20-23, 2005 p616

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    Azou S, Burel G, Pistre C 2002 Oceans Conf. Rec. IEEE Biloxi, Mississippi, USA 29-31 October, 2002 p2409

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    Azou S, Burel G, Duff L L, Pistre C 2003 Oceans Conf. Rec. IEEE San Diego, USA 22-26 September, 2003 p1539

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    Tsai J S H, Yu J M, Canelon J I, Shieh L S 2005 Ima. J. Math. Control I 22 58

    [19]

    Leung H, Zhu Z 2001 IEEE Trans. Circuits Syst. I 48 1118

    [20]

    Zhu Z, Leung H 2001 IEEE Trans. Circuits Syst. I 48 979

    [21]

    Hu Z H, Feng J C 2012 Trans. Tianjin Univ. 18 033

    [22]

    Xu M G 2008 Ph. D. Dissertation (Nanjing: Nanjing University of Science and Technology) (in Chinese) [徐茂格 2008 博士学位论文 (南京: 南京理工大学)]

    [23]

    Alvarez G, Montoya F, Romera M, Pastor G 2004 IEEE Trans. Circuits Syst. II 51 505

    [24]

    Yang T, Yang L B, Yang C M 1998 IEEE Trans. Circuits Syst. I 45 1062

    [25]

    Li S J, Alvarez G, Chen G R 2005 Chaos, Solitons and Fractals 25 109

    [26]

    Alvarez G, Montoya F, Romera M, Pastor G 2004 Chaos 14 274

    [27]

    Ren H P, Han C Z, Liu D 2008 Chin. Phys. B 17 1202

    [28]

    Hu J F, Guo J B 2008 Acta Phys. Sin. (in Chinese) 57 1477 [胡进峰, 郭静波 2008 物理学报 57 1477]

    [29]

    Hu J F, Guo J B 2008 Chaos 18 013121

    [30]

    Bai L, Guo J B 2011 Acta Phys. Sin. (in Chinese) 60 070504 [白鹭, 郭静波 2011 物理学报 60 070504]

    [31]

    Julier S, Uhlmann J, Durrant-Whyte H F 2000 IEEE Trans. Automat. Contr. 45 477

    [32]

    Wan E A, van der Merwe R 2000 AS-SPCC Symposium 2000 Lake Louise, Alberta, Canada 1-4 Oct., 2000 p153

    [33]

    Blom H A P, Bar-Shalom Y 1988 IEEE Trans. Automat. Contr. 33 780

    [34]

    Bar-Shalom Y 2000 Multitarget-Multisensor Tracking: Applications and Advances (Vol. 3) (Boston, London: Artech House) p161

  • [1]

    Kocarev L 2001 IEEE Circuits Syst. Mag. 1 6

    [2]

    Yang T 2004 Int. J. Comput. Cogn. 2 81

    [3]

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

    [4]

    Wang F P, Wang Z J, Guo J B 2002 J. China Inst. Commun. 23 71 (in Chinese) [汪芙平, 王赞基, 郭静波 2002 通信学报 23 71]

    [5]

    Zhao B S, Zhu Y S 2007 J. Electron. Inform. Tech. 29 699 (in Chinese) [赵柏山, 朱义胜 2007 电子与信息学报 29 699]

    [6]

    Zhang J S, Xiao X C 2001 Acta Phys. Sin. 50 2121 (in Chinese) [张家树, 肖先赐 2001 物理学报 50 2121]

    [7]

    Sun L, Jiang D P 2006 Acta Phys. Sin. 55 3283 (in Chinese) [孙琳, 姜德平 2006 物理学报 55 3283]

    [8]

    Sathyan T, Kirubarajan T 2006 IEEE Trans. Circuits Syst. I 53 1597

    [9]

    Li G H, Xu D M, Zhou S P 2004 Acta Phys. Sin. 53 706 (in Chinese) [李国辉, 徐得名, 周世平 2004 物理学报 53 706]

    [10]

    Li J F, Li N, Lin H 2004 Acta Phys. Sin. 53 1694 (in Chinese) [李建芬, 李农, 林辉 2004 物理学报 53 1694]

    [11]

    Zhang Y, Chen T Q, Chen B 2007 Acta Phys. Sin. 56 56 (in Chinese) [张勇, 陈天麒, 陈滨 2007 物理学报 56 56]

    [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]

    Parlitz U, Ergezinger S 1994 Phys. Lett. A 188 146

    [14]

    Luca M B, Azou S, Burel G, Serbanescu A 2005 IEEE-ISCAS 2005 Kobe, Japan, 23-26 May 2005 p3813

    [15]

    Azou S, Luca M B, Burel G, Serbanescu A 2005 Oceans 2005-Europe Brest, France, June 20-23, 2005 p616

    [16]

    Azou S, Burel G, Pistre C 2002 Oceans Conf. Rec. IEEE Biloxi, Mississippi, USA 29-31 October, 2002 p2409

    [17]

    Azou S, Burel G, Duff L L, Pistre C 2003 Oceans Conf. Rec. IEEE San Diego, USA 22-26 September, 2003 p1539

    [18]

    Tsai J S H, Yu J M, Canelon J I, Shieh L S 2005 Ima. J. Math. Control I 22 58

    [19]

    Leung H, Zhu Z 2001 IEEE Trans. Circuits Syst. I 48 1118

    [20]

    Zhu Z, Leung H 2001 IEEE Trans. Circuits Syst. I 48 979

    [21]

    Hu Z H, Feng J C 2012 Trans. Tianjin Univ. 18 033

    [22]

    Xu M G 2008 Ph. D. Dissertation (Nanjing: Nanjing University of Science and Technology) (in Chinese) [徐茂格 2008 博士学位论文 (南京: 南京理工大学)]

    [23]

    Alvarez G, Montoya F, Romera M, Pastor G 2004 IEEE Trans. Circuits Syst. II 51 505

    [24]

    Yang T, Yang L B, Yang C M 1998 IEEE Trans. Circuits Syst. I 45 1062

    [25]

    Li S J, Alvarez G, Chen G R 2005 Chaos, Solitons and Fractals 25 109

    [26]

    Alvarez G, Montoya F, Romera M, Pastor G 2004 Chaos 14 274

    [27]

    Ren H P, Han C Z, Liu D 2008 Chin. Phys. B 17 1202

    [28]

    Hu J F, Guo J B 2008 Acta Phys. Sin. (in Chinese) 57 1477 [胡进峰, 郭静波 2008 物理学报 57 1477]

    [29]

    Hu J F, Guo J B 2008 Chaos 18 013121

    [30]

    Bai L, Guo J B 2011 Acta Phys. Sin. (in Chinese) 60 070504 [白鹭, 郭静波 2011 物理学报 60 070504]

    [31]

    Julier S, Uhlmann J, Durrant-Whyte H F 2000 IEEE Trans. Automat. Contr. 45 477

    [32]

    Wan E A, van der Merwe R 2000 AS-SPCC Symposium 2000 Lake Louise, Alberta, Canada 1-4 Oct., 2000 p153

    [33]

    Blom H A P, Bar-Shalom Y 1988 IEEE Trans. Automat. Contr. 33 780

    [34]

    Bar-Shalom Y 2000 Multitarget-Multisensor Tracking: Applications and Advances (Vol. 3) (Boston, London: Artech House) p161

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  • Received Date:  17 April 2012
  • Accepted Date:  22 May 2012
  • Published Online:  05 November 2012

Breaking chaotic direct sequence spreading spectrum communication systems using DM-UKF chaotic fitting method

  • 1. University of Electronic Science and Technology of China, Chengdu 611731, China
Fund Project:  Project supported by the Science Foundation of China Academy of Engineering Physics, China (Grant No. 2010A0403017) and the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant No. ZYGX2010J027).

Abstract: In this paper, a dual model unscented Kalman filter chaotic fitting breaking method is proposed to break chaotic direct sequence spread spectrum communication systems in the cases of low spreading factor, low signal-to-noise ratio or severe multipath fading. Based on the characteristic that the range of information symbol is a finite set, the proposed algorithm fits the original chaotic signal through different filters which work in parallel. The fitting errors are used to choose the optimum matching filter, thus to estimate the information symbols. Furthermore, an error-controlling-factor is introduced to increase the distance of model based tracking errors, which can not only facilitate the information extracting process, but also reduce the influence of noise and multipath fading. Theoretical analysis and simulation results prove that the proposed algorithm is superior to the existing breaking method.

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