一种基于强跟踪滤波的混沌保密通信方法

李雄杰; 周东华

doi:10.7498/aps.64.140501

摘要

提出了一种基于强跟踪滤波器的混沌保密通信方法. 在发送端, 混沌映射和信息符号被建模成非线性状态空间模型, 信息符号被加性混沌掩盖或乘性混沌掩盖调制, 然后通过信道输出. 在接收端, 驱动信号被接收, 使用带有贝叶斯分类器(信息符号估计)的强跟踪滤波器算法动态地恢复信息符号. Logistic混沌映射的仿真表明, 当信息符号为二进制编码时, 不管是加性混沌掩盖调制还是乘性混沌掩盖调制, 强跟踪滤波器均能较好地从混沌信号中恢复信息符号. 与扩展卡尔曼滤波器相比, 由于卡尔曼滤波器对于离散的信息符号跟踪能力差, 混沌映射中信息符号难以恢复, 比特误码率高. 因此, 这种基于强跟踪滤波器的混沌保密通信方法是有效的.

关键词:

Abstract

Chaotic secure communication is an active research field of chaotic application. A novel method for chaotic secure communication is proposed based on strong tracking filter (STF) in this study. STF is an extended Kalman filter with suboptimal fading factors, especially suitable for estimating the state and parameter of nonlinear time-varying stochastic systems. The main idea of the proposed method is summarized below. At the emitting end, the chaotic mapping and the information symbol are modeled as a nonlinear state space model, and the information symbol is modulated by additive chaos masking or multiplicative chaos masking and then is outputted through the channel. At the receiving end, the driving signal is received, and the message symbol is recovered dynamically by STF with Bayesian classifier. Simulation tests of the logistic chaotic mapping show that STF can restore the information symbols in chaotic signals when information symbols are binary code, with either additive or multiplicative chaos masking modulation. Compared with STF, the conventional Kalman filter has poor ability to track the discrete information symbol. It is difficult to restore the information symbols in the chaotic mapping, and the bit error rate is high. Therefore, the STF-based chaotic secure communication method is effective.

Keywords:

作者及机构信息

李雄杰^1,2,
周东华¹

1.
清华大学自动化系, 北京 100084;

2.
浙江工商职业技术学院电子与信息工程系, 宁波 315012

基金项目: 国家自然科学基金(批准号: 61210012)资助的课题.

Authors and contacts

1.
Department of Automation, Tsinghua University, Beijing 100084, China;

2.
Department of Electronic and Information Engineering, Zhejiang Business Technology Institute, Ningbo 315012, China

Funds: Project supported by the National Nature Science Foundation of China (Grant No. 61210012).

参考文献

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施引文献

[1]	Hasler M 1998 Int. J. Bifur. Chaos 8 647
[2]	Feki M 2003 Chaos Soliton. Fract. 18 141
[3]	Liao T L, Huang N S 1999 IEEE Trans. Circ. Syst. I 46 1144
[4]	Grassi G, Mascolo S 1999 IEEE Trans. Circ. Syst. I 46 1135
[5]	Sobiski D J, Thorp J S 1998 IEEE Trans. Circ. Syst. I 45 194
[6]	Azou S, Burel G 2002 IEEE Communications Conference Bucharest, Romania, December 5-7, 2002 p123
[7]	Zhang B, Chen M Y, Zhou D H 2006 Chaos Soliton. Fract. 30 1273
[8]	Wang S Y, Feng J C 2008 J. Electron. Inform. Technol. 30 89 (in Chinese) [王世元, 冯久超 2008 电子与信息学报 30 89]
[9]	Wang Y C, Zhao Q C, Wang A B 2008 Chin. Phys. B 17 2373
[10]	Cao L P, Xia G Q, Deng T, Lin X D, Wu Z M 2010 Acta Phys. Sin. 59 5541 (in Chinese) [操良平, 夏光琼, 邓涛, 林晓东, 吴正茂 2010 59 5541]
[11]	Wei Y, Fan L, Xia G Q, Chen Y L, Wu Z M 2012 Acta Phys. Sin. 61 224203 (in Chinese) [魏月, 樊利, 夏光琼, 陈于淋, 吴正茂 2012 61 224203]
[12]	Liu H J, Ren B, Feng J C 2012 Chin. Phys. B 21 040501
[13]	Zou L, Feng Y, Yang Y B, Wang A B, Yang L Z, Zhang J Z 2011 Chin. Phys. B 20 094209
[14]	Zhang J Z, Wang Y C, Wang A B 2008 Chin. Phys. B 17 3264
[15]	Li D J, Zhou Z F, Wu C M 2104 J. Comput. Appl. 34 963 (in Chinese) [李杜娟, 周子峰, 吴成茂 2014 计算机应用 34 963]
[16]	Chen M Y, Zhou D H, Shang Y 2006 Int. J. Bifurc. Chaos 16 419
[17]	Yan J, Wei Q Y 2013 Comput. Technol. Develop. 23 199 (in Chinese) [严璟, 韦庆阳 2013 计算机技术与发展 23 199]
[18]	Li G H 2014 Appl. Res. Comput. 31 2788 (in Chinese) [李国华 2014 计算机应用研究 31 2788]
[19]	Liu L Z, Zhang J Q, Xu G X, Liang L S, Wang M S 2014 Acta Phys. Sin. 63 010501 (in Chinese) [刘乐柱, 张季谦, 许贵霞, 梁立嗣, 汪茂胜 2014 63 010501]
[20]	Yu F, Wang C H 2014 Optics 125 5920
[21]	Candido R, Soriano D C, Silva M T M, Eisencraft M 2015 Signal Processing 108 412
[22]	Zhou D H, Xi Y G, Zhang Z J 1990 Control and Decision 5 1 (in Chinese) [周东华, 席裕庚, 张仲俊 1990 控制与决策 5 1]

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