观测器方法异结构混沌同步研究及其保密通信中的应用
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摘要
上世纪90年代人们发现混沌现象以来,混沌逐渐被人们认识和应用,由于混沌信号具有初值敏感性,宽频谱、似噪声等特点,混沌在保密通信中具有潜在的应用前景。近年来随着对混沌现象研究的不断深入,混沌保密通信成为这一领域的前沿课题,受到了广泛的关注。混沌同步是混沌保密通信领域的重要组成部分,如何有效的实现混沌系统的同步将是混沌系统应用于保密通信的关键。
本文对混沌和混沌同步基础知识做了较详细的介绍,深入研究了混沌同步在保密通信领域中的应用,主要研究内容如下:
首先,对混沌的背景进行研究,即混沌的历史发展、混沌的定义和特征、分类以及混沌保密通信的研究现状,揭示了本课题研究的目的和价值。
其次,研究了混沌同步的相关知识,即混沌同步的方法和实现;同时分析了混沌保密通信的要点:混沌保密通信的理论依据、几种混沌保密通信新技术以及混沌保密通信的优点及其在应用与实际中还存在一些需要进一步克服的缺陷。
再次,针对目前研究较少的异结构混沌同步,给出了使用观测器实现其同步的方法,并使用该方法分别用Lorenz, Chen系统及Rossler, Lorenz系统进行MATLAB仿真试验。针对仿真结果进行分析,讨论基于观测器方法异结构混沌系统同步的可行性。
最后,将混沌异结构同步应用到保密通信中,使用混沌信号作为载波,传输不同的信息,并在接收端解调出源信息。给出系统框图,根据实际的应用过程再次用MATLAB进行数据仿真,针对仿真结果进行分析,总结出混沌在保密通信中的作用及意义。
Chaos is gradually recognized and used since the last century 90’s when human discovered the phenomenon of it. Because chaotic signal has initial sensitivity, characteristic of broad bandwidth and like-noise, chaos has potential application in secure communication. With the further research of chaos, chaos synchronization becomes an advanced research field and has caused extensive attention in recent years. Chaos synchronization is an important part of chaos in secure communication How to realize the synchronization in chaos effectively is the key that chaos is applied in secure communication.
This paper gives a more detailed introduction about the basic knowledge of chaos and chaos synchronization, studies the application of Chaos synchronization in secure communication, and its main contents are as follows: Firstly, through the description of chaos backdrop, that is, studies of chaotic processes, the definition, the character and the classification of chaos, and the research situation of chaos secure communication, and reveals the purpose and significance of the subject.
Secondly, it studies the related knowledge of chaos synchronization, that is, the method to achieve chaos synchronization. At the same time, it analysis the key point about chaotic secure communication: theory principle of chaos secure communication, the advantage of chaos secure communication and its applications, the shortcomings to overcome in the future practice.
Thirdly, the passage that aims at two different chaotic systems which is less used at the present offers the method that use observer to achieve synchronization. It also analysis the result of the simulation lab, discusses the feasibility of two different chaos systems using observer.
Finally, apply the synchronization of two different chaotic systems into secure communication, that is, use chaotic signal as a carrier, transmit different information, and demodulate these information at the receiving end. Give the system block diagram and make lab of MATLAB again according to the actual application process, analysis the result of the simulation result. At last, summarize the role and significance of chaos in the secure communication.
本文对混沌和混沌同步基础知识做了较详细的介绍,深入研究了混沌同步在保密通信领域中的应用,主要研究内容如下:
首先,对混沌的背景进行研究,即混沌的历史发展、混沌的定义和特征、分类以及混沌保密通信的研究现状,揭示了本课题研究的目的和价值。
其次,研究了混沌同步的相关知识,即混沌同步的方法和实现;同时分析了混沌保密通信的要点:混沌保密通信的理论依据、几种混沌保密通信新技术以及混沌保密通信的优点及其在应用与实际中还存在一些需要进一步克服的缺陷。
再次,针对目前研究较少的异结构混沌同步,给出了使用观测器实现其同步的方法,并使用该方法分别用Lorenz, Chen系统及Rossler, Lorenz系统进行MATLAB仿真试验。针对仿真结果进行分析,讨论基于观测器方法异结构混沌系统同步的可行性。
最后,将混沌异结构同步应用到保密通信中,使用混沌信号作为载波,传输不同的信息,并在接收端解调出源信息。给出系统框图,根据实际的应用过程再次用MATLAB进行数据仿真,针对仿真结果进行分析,总结出混沌在保密通信中的作用及意义。
Chaos is gradually recognized and used since the last century 90’s when human discovered the phenomenon of it. Because chaotic signal has initial sensitivity, characteristic of broad bandwidth and like-noise, chaos has potential application in secure communication. With the further research of chaos, chaos synchronization becomes an advanced research field and has caused extensive attention in recent years. Chaos synchronization is an important part of chaos in secure communication How to realize the synchronization in chaos effectively is the key that chaos is applied in secure communication.
This paper gives a more detailed introduction about the basic knowledge of chaos and chaos synchronization, studies the application of Chaos synchronization in secure communication, and its main contents are as follows: Firstly, through the description of chaos backdrop, that is, studies of chaotic processes, the definition, the character and the classification of chaos, and the research situation of chaos secure communication, and reveals the purpose and significance of the subject.
Secondly, it studies the related knowledge of chaos synchronization, that is, the method to achieve chaos synchronization. At the same time, it analysis the key point about chaotic secure communication: theory principle of chaos secure communication, the advantage of chaos secure communication and its applications, the shortcomings to overcome in the future practice.
Thirdly, the passage that aims at two different chaotic systems which is less used at the present offers the method that use observer to achieve synchronization. It also analysis the result of the simulation lab, discusses the feasibility of two different chaos systems using observer.
Finally, apply the synchronization of two different chaotic systems into secure communication, that is, use chaotic signal as a carrier, transmit different information, and demodulate these information at the receiving end. Give the system block diagram and make lab of MATLAB again according to the actual application process, analysis the result of the simulation result. At last, summarize the role and significance of chaos in the secure communication.
引文
1吴祥兴.混沌学导论.上海:上海科学技术文献出版社,1996:1-10
2 T. Li. York. Period Three Implies Chaos. Amer. Math, 1975,5:82-86
3 E Ott, et al. Phys. Rev. Lett, 1990,64(11):1196-1199
4方锦清.驾驭混沌与发展高新科技.北京:原子能出版社,2001:230-250
5陆同兴.非线性物理概论.合肥:中国科学技术大学出版社,2002:181-195
6 T. Yamada, H. Fujisaka. Stability Theory of Synchronization Motion in Coupled Oscillator Systems (I). Pro. Theor. Phys, 1983,69(1):32-47
7 E. A. Jackson. Physical D, 1990,44:404-412
8 A. Abel, W. Schwarz. Chaos Communication: Principles, Schemes and System Analysis. Proc of the IEEE,2002,90(5):691-710
9胡岗,萧井华,郑志刚.混沌控制.上海:上海科技教育出版社,2000:78-189
10陈奉苏.混沌控制及其应用.北京:中国电力出版社,2005:288-309
11方锦清.驾驭混沌与发展高新科技.北京:原子能出版社,2001:230-250
12马在光,吴纯英,丘水生.混沌同步和混沌通信研究的新进展与新尝试.电波科学学报, 2002,13(6):307-314
13 Jian-cheng Zou, Chang-zhen Xiong, Dong-xu Qi, et al. The application of chaotic maps in image encryption. IEEE New CAS Conference, 2005, 12(43):331-334
14孟娟,王兴元.基于非线性观测器的一类混沌系统的相同步.物理学报, 2007, 56(9):5142-5147
15刘式达,刘式适,严中伟.E.N.Lorenz.混沌的本质.北京:北京气象出版社,1994:9-12
16李辉.混沌数字通信.北京:清华大学出版社,2006:2-40
17中国人民解放军总装备部军事训练教材编辑工作委员会.通信保密技术.北京:国防工业出版社,2003:298-322
18 Y. Tao, L. O. Chua. Secure Communication via Chaotic Parameter Modulation. IEEE Trans on CAS(I),1996,43(9):817-819
19朱近康.扩展频谱通信及其应用.合肥:中国科技大学出版社,1993:72-98
20曹冲.蓝牙技术的发展现状和应用前景.无线电工程,2001,31(3):1-6
21 Arman Kiani-B. A chaotic secure communication scheme using fractional chaotic sustems based on an extended fractional Kalman filter. Communications in nonlinear science and numerical simulation , 2009,24(14): 863-879
22 Hassan Salarieh,Aria Alasty. Adaptive sunchronization of two chaotic systems with stochastic unknown parameters. Communications in nonlinear science and numerical simulation ,2009,14(20):508-519
23董华春,宗成阁,权太范.高频雷达海洋回波信号的混沌特性研究.电子学报,2000,28 (3):25-28
24杨承辉,马文麒.单向耦合洛伦兹混沌遮掩保密数字通信电路.物理实验,2005,25(7):5-8
25罗晓曙.混沌控制,同步的理论于方法及应用.桂林:广西师范大学出版社.2007:229-250
26于娜,丁群,陈红.异结构混沌同步及其在保密通信中的应用.通信学报,2007,10(10):73-78
27贾飞蕾,徐伟,都林.参数未知的不同阶数混沌系统广义同步及参数估计.物理学报,2007,56(10):5640-5647
28 H. N. Agiza. Chaos synchronization of Liu dynamical system.nonlinear analysis, 2006,58(20):11-20
29 Liu Chongxin, Liu Tao, Liu Ling. A ner chaotic attractor.Chaos. Solitons and fractals, 2008,22(38):1031-1033
30 KH. JC. R. Experimental study on impulsive synchronization between two modified chua’s circuits. Nonlinesr anal rwa7,2006,37(46):1298-1303
31 E. M. Shahverdiev, S. Sivaprakasam, K. A. Shore. Dusl and dual-cross sunchronizations in chaotic systems. Optics communications ,2008,21(62):179-183
32 Lu Jinhu, Zhou Tianshou, Zhang Suochun.Chaos synchronization between linearly coupled chaotic systems. Chaos,colitons and fractals,2006,14(26):529-541
33孙克辉,牟俊,周家令,等.统一混沌系统的混沌观测器同步控制及其应用.控制理论与应用,2008,4(28):794-798
34赵耿,方锦清.现代信息安全与混沌保密通信应用研究的进展.物理学报, 2003,23 (2):212-255
35孙克辉,张泰山.应用Simulink动态仿真方法研究混沌保密通信.计算机仿真,2005,22 (9):262-264
36高铁红,陈增强,袁著祉.混沌系统的混合同步及其在安全通信中的应用.通信学报,2005,26(3):21-24
37蔡国梁,黄娟娟.超混沌Chen系统和超混沌Rossler系统的异结构同步.物理学报,2006,55(8):3397-4004
38 YU. Y. G, ZHANG S. C. A daptive backstepping synchronization of uncertain chaotic system.. Chaos, Solitons&Fractals,2004,21(10):643-649
39 PARK. J. H. A daptive synchronization of hyper-chaotic Chen system with uncertain parameters. Chaos, Solitons&Fractals,2005,26(7):959-964
40 C. W. Wu, Y. Tao, L. O. Chua. On Adaptive Synchronization and Control of Nonlinear Dynamical Systems. Int. J. Bifurcation and Chaos,2009,6(3):455-471
41 Yang T, Chua L. Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Int J B ifur and Chaos ,1998,13(84):647-659
42 Liu C. X, Liu T, Liu L. A new chaotic attractor. Chaos Solit Fract,2004,22(1):91-103
43卢辉斌.混沌理论研究及其在保密通信中的应用. [燕山大学博士学位论文], 2004:15-23
44李建芬,李农,林辉.适合传输快变信息信号的混沌调制保密通信.物理学报,2004,53 (6):1694-1698
45颜森林.双环光纤激光器混沌键控保密通信系统理论模型和数值模拟.电子与信息学报,2005,27(5):703-706
46 Rhouma Rhouma, Safya Belghith, S. Domngang. Cryptanalysis of a new image encryption algorithm based on hyper-chaos. Physics letters A, 2008, 3(72):5973-5978
47方锦清.非线性系统中混沌控制方法、同步原理及其应用前景(一).物理学进展,1996, 16(1):1-89
48程艳云,樊春霞.混沌同步及其应用.南京邮电大学学报,2007,27(6):80-87
49李爽,徐伟,李瑞红,等.异结构系统混沌同步的新方法,物理学报,2006,55(11):5681-5687
50宁娣,陆君安.一个临界系统与Lorenz系统和Chen系统的异结构同步.物理学报,2005,54(10):4590-4595
51张庆灵,吕翎.不确定Lorenz系统的参数识别与异结构同步.信息与控制,2008,27(4):146-149
52关新平,范正平.混沌控制及其在保密通信中的应用,2002:183-199
53陈帅,钟先信,石军峰,等.基于离散数字混沌序列的图像加密.电子与信息学报, 2007.4, 29(4):898-903
54兀旦晖,宋玲芳.一种基于两级混沌调制保密通信方案的研究.陕西科技大学学报, 2006,24(3):104-109
2 T. Li. York. Period Three Implies Chaos. Amer. Math, 1975,5:82-86
3 E Ott, et al. Phys. Rev. Lett, 1990,64(11):1196-1199
4方锦清.驾驭混沌与发展高新科技.北京:原子能出版社,2001:230-250
5陆同兴.非线性物理概论.合肥:中国科学技术大学出版社,2002:181-195
6 T. Yamada, H. Fujisaka. Stability Theory of Synchronization Motion in Coupled Oscillator Systems (I). Pro. Theor. Phys, 1983,69(1):32-47
7 E. A. Jackson. Physical D, 1990,44:404-412
8 A. Abel, W. Schwarz. Chaos Communication: Principles, Schemes and System Analysis. Proc of the IEEE,2002,90(5):691-710
9胡岗,萧井华,郑志刚.混沌控制.上海:上海科技教育出版社,2000:78-189
10陈奉苏.混沌控制及其应用.北京:中国电力出版社,2005:288-309
11方锦清.驾驭混沌与发展高新科技.北京:原子能出版社,2001:230-250
12马在光,吴纯英,丘水生.混沌同步和混沌通信研究的新进展与新尝试.电波科学学报, 2002,13(6):307-314
13 Jian-cheng Zou, Chang-zhen Xiong, Dong-xu Qi, et al. The application of chaotic maps in image encryption. IEEE New CAS Conference, 2005, 12(43):331-334
14孟娟,王兴元.基于非线性观测器的一类混沌系统的相同步.物理学报, 2007, 56(9):5142-5147
15刘式达,刘式适,严中伟.E.N.Lorenz.混沌的本质.北京:北京气象出版社,1994:9-12
16李辉.混沌数字通信.北京:清华大学出版社,2006:2-40
17中国人民解放军总装备部军事训练教材编辑工作委员会.通信保密技术.北京:国防工业出版社,2003:298-322
18 Y. Tao, L. O. Chua. Secure Communication via Chaotic Parameter Modulation. IEEE Trans on CAS(I),1996,43(9):817-819
19朱近康.扩展频谱通信及其应用.合肥:中国科技大学出版社,1993:72-98
20曹冲.蓝牙技术的发展现状和应用前景.无线电工程,2001,31(3):1-6
21 Arman Kiani-B. A chaotic secure communication scheme using fractional chaotic sustems based on an extended fractional Kalman filter. Communications in nonlinear science and numerical simulation , 2009,24(14): 863-879
22 Hassan Salarieh,Aria Alasty. Adaptive sunchronization of two chaotic systems with stochastic unknown parameters. Communications in nonlinear science and numerical simulation ,2009,14(20):508-519
23董华春,宗成阁,权太范.高频雷达海洋回波信号的混沌特性研究.电子学报,2000,28 (3):25-28
24杨承辉,马文麒.单向耦合洛伦兹混沌遮掩保密数字通信电路.物理实验,2005,25(7):5-8
25罗晓曙.混沌控制,同步的理论于方法及应用.桂林:广西师范大学出版社.2007:229-250
26于娜,丁群,陈红.异结构混沌同步及其在保密通信中的应用.通信学报,2007,10(10):73-78
27贾飞蕾,徐伟,都林.参数未知的不同阶数混沌系统广义同步及参数估计.物理学报,2007,56(10):5640-5647
28 H. N. Agiza. Chaos synchronization of Liu dynamical system.nonlinear analysis, 2006,58(20):11-20
29 Liu Chongxin, Liu Tao, Liu Ling. A ner chaotic attractor.Chaos. Solitons and fractals, 2008,22(38):1031-1033
30 KH. JC. R. Experimental study on impulsive synchronization between two modified chua’s circuits. Nonlinesr anal rwa7,2006,37(46):1298-1303
31 E. M. Shahverdiev, S. Sivaprakasam, K. A. Shore. Dusl and dual-cross sunchronizations in chaotic systems. Optics communications ,2008,21(62):179-183
32 Lu Jinhu, Zhou Tianshou, Zhang Suochun.Chaos synchronization between linearly coupled chaotic systems. Chaos,colitons and fractals,2006,14(26):529-541
33孙克辉,牟俊,周家令,等.统一混沌系统的混沌观测器同步控制及其应用.控制理论与应用,2008,4(28):794-798
34赵耿,方锦清.现代信息安全与混沌保密通信应用研究的进展.物理学报, 2003,23 (2):212-255
35孙克辉,张泰山.应用Simulink动态仿真方法研究混沌保密通信.计算机仿真,2005,22 (9):262-264
36高铁红,陈增强,袁著祉.混沌系统的混合同步及其在安全通信中的应用.通信学报,2005,26(3):21-24
37蔡国梁,黄娟娟.超混沌Chen系统和超混沌Rossler系统的异结构同步.物理学报,2006,55(8):3397-4004
38 YU. Y. G, ZHANG S. C. A daptive backstepping synchronization of uncertain chaotic system.. Chaos, Solitons&Fractals,2004,21(10):643-649
39 PARK. J. H. A daptive synchronization of hyper-chaotic Chen system with uncertain parameters. Chaos, Solitons&Fractals,2005,26(7):959-964
40 C. W. Wu, Y. Tao, L. O. Chua. On Adaptive Synchronization and Control of Nonlinear Dynamical Systems. Int. J. Bifurcation and Chaos,2009,6(3):455-471
41 Yang T, Chua L. Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Int J B ifur and Chaos ,1998,13(84):647-659
42 Liu C. X, Liu T, Liu L. A new chaotic attractor. Chaos Solit Fract,2004,22(1):91-103
43卢辉斌.混沌理论研究及其在保密通信中的应用. [燕山大学博士学位论文], 2004:15-23
44李建芬,李农,林辉.适合传输快变信息信号的混沌调制保密通信.物理学报,2004,53 (6):1694-1698
45颜森林.双环光纤激光器混沌键控保密通信系统理论模型和数值模拟.电子与信息学报,2005,27(5):703-706
46 Rhouma Rhouma, Safya Belghith, S. Domngang. Cryptanalysis of a new image encryption algorithm based on hyper-chaos. Physics letters A, 2008, 3(72):5973-5978
47方锦清.非线性系统中混沌控制方法、同步原理及其应用前景(一).物理学进展,1996, 16(1):1-89
48程艳云,樊春霞.混沌同步及其应用.南京邮电大学学报,2007,27(6):80-87
49李爽,徐伟,李瑞红,等.异结构系统混沌同步的新方法,物理学报,2006,55(11):5681-5687
50宁娣,陆君安.一个临界系统与Lorenz系统和Chen系统的异结构同步.物理学报,2005,54(10):4590-4595
51张庆灵,吕翎.不确定Lorenz系统的参数识别与异结构同步.信息与控制,2008,27(4):146-149
52关新平,范正平.混沌控制及其在保密通信中的应用,2002:183-199
53陈帅,钟先信,石军峰,等.基于离散数字混沌序列的图像加密.电子与信息学报, 2007.4, 29(4):898-903
54兀旦晖,宋玲芳.一种基于两级混沌调制保密通信方案的研究.陕西科技大学学报, 2006,24(3):104-109