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混沌保密通信系统若干问题的研究
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摘要
在过去的几十年里,信息安全问题越来越受到人们的重视,混沌保密通信作为一个重要的分支得到了飞速的发展。本文主要研究了混沌通信系统中高性能混沌信号制取及混沌调制系统性能等基础性问题。本文中的方法是从基本系统的角度进行论证,但结论和成果同样可以应用到其他复杂的混沌系统中。
     论文首先针对混沌信号设计缺乏规律可循的问题,论述了在Lorenz系统基础上通过引入系统参数,对混沌吸引区域及状态变量的控制,实现具有可选特性参数混沌信号的制取方法。并在此基础上提出了利用同构混沌系统作为混沌键控信号产生系统的设计方法,有效地消除了混沌信号在相图中的分叉现象,提高了混沌键控系统的保密性能。
     其次针对当前广泛讨论的混沌掩盖系统中信息安全性出现的问题,提出了一种混沌掩盖技术的改进方法。通过对混沌信号频谱分布的调整,实现信息的安全传输,解决了混沌掩盖系统易受攻击方破解的问题。同时为降低突发噪声对混沌通信系统的影响,提出了一种降低混沌接收系统混沌同步时间的方法,通过对系统模型状态变量导数的系数进行调整,增强系统的同步能力,缩短同步所需的时间。
     此外针对现有基于混沌同步的混沌调制系统对信道干扰及信道特性极为敏感的问题,提出了一种基于半同步解调的混沌调制方案。通过仿真,说明方法能够有效地对信息进行加密调制及信号恢复,系统的抗干扰能力以及系统的安全性也得到增强。同时针对现有混沌信号存在较大直流和低频分量的问题,提出了一种抑制混沌信号直流和低频分量的方法。通过仿真说明该系统在抑制混沌信号直流和低频分量方面的效果以及系统设计时应注意的问题。
     文章最后介绍了对无源通信网络的研究。首先提出一种利用预先选定的电路模型,通过分析耦合矩阵及传递函数,实现并联谐振实现交叉耦合谐振滤波器的方法。其次提出了一种多端口元件散射参数测试参数进行校正的方法,解决了接入阻抗反射系数的精度导致的测试误差问题,有效提高了这类测试方法的测试精度。
In the past decades, the security of the information is more and more important to people, and the chaotic communication system has been developed rapidly as a part of secure communication system. This thesis discusses the problems of the generation of the chaotic signal with proper characteristic and the improvement of the chaotic modulation method, which are focused on the basic theory of chaotic communication system, comparing with the methods of adding affixation or using more complex structure to enhance the securitiy of the system. The results can also be combined with the methods presented in literature.
     First in order to find a principle to design chaotic signal, this paper presents a method of producing chaotic signals with arbitrary magnitude and spectrum, which is based on the Lorenz system by introducing some parameters of the system to realize the selective magnitude and spectrum. Furthermore, this paper has shown the validity of this method by theory and simulation. In addition, this kind of generators is easily implemented, and the signal is suitable for protecting the information in communication systems. By the way, a new chaotic shift keying modulation is proposed by using the same structure systems designed by the method of producing chaotic signals with arbitrary magnitude and spectrum. The same structure systems have the same attractors and attracting region, so the bifurcation of the attractors in return maps can be eliminated. The binary information can not be attacked easily by the return map breaking method.
     Then the reason of the security weakness of generalized state-space observers-based approaches for secure communication is discussed which is used chaotic masking and chaotic nodulation of a Lorenz system and a method is proposed to solve this problem. Theory analysis and simulation show this improvement realized chaotic masking. By contrast with the original system, this method improves the performance of secure communication system based on chaotic masking. At the same time, in order to reduce the affect of the gusty noise to the chaotic communication system, a method is developed to enhance the synchronization ability and reduce time expenditure by adjusting the differentiation with respect to the state variables in the chaotic system. This method also has the ability to resist the gusty noise in the channel and improve the quality of the chaotic communication.
     Furthermore, since the chaotic modulation systems based on chaotic synchronization are very sensitive to the noise or the distortion of the channel, a new chaotic modulation method is proposed based on Lorenz system, the information signal is introduced into the modulation system as the parameter of the nonlinear part. In the receiver, the information signal is derived from the error of the partial synchronization. The system did not require the synchronization process, and the sensitivity of this modulation system to the noise is reduced. The simulation shows this system has realized secure communication and enhanced the ability to resist the noise in the channel and to secure information.
     In addition, a multidimentional chaotic signal generator is introduced to restrain the DC and the spectrum component in the low frequency. The n+1 dimentional system is deduced from an n dimentional system, the output signal of which is added an integration to its derivative. The characteristic of the original system is kept and the purpose is realized by analysis and simulation.
     At last, the study of another domain of the communication system is discussed, which is about the theory of passitive communication networks.
     This contained two aspects: first, a method to design cross-coupled resonator filters with parallel resonance circuits is presented in this paper. The procedure includes selecting a circuit model, introducing a scaling factor and bandwidth condition, and calculating the values of the coupling and resonance admittances of the circuit model by the coupling matrix and the given transfer function. Finally, an example is given to illustrate the designing procedure, and the simulation results show the validity of the presented approach. Second, a method used to reduce the errors in the scattering parameters measurement of N-ports based on two-port vector network analyzer (VNA) is presented, which is based on the normalization and renormalization of the scattering matrix and an optimization procedure. The method is proved by measured results.
引文
[1]黄润生.混沌及其应用.武昌:武汉大学出版社2000:1-20.
    [2]方锦清.驾驭混沌与发展高新技术.北京:原子能出版社,2002:1-180.
    [3]王东升,曹磊.混沌、分形及其应用.合肥中国科学技术大学出版社,1995:54-70.
    [4]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(二).物理学进展,1996,16(2):137-196.
    [5]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):1-70
    [4]Boccaletti S,Grebogi C and Lai YC,et al.The Control of Chaos:theory and application.Physics RePorts,2000(329):103-197.
    [6]Grebogi Celso,Ying-Cheng Lai.Controlling Chaotic dynamical systems.Systems& Control Letters,1997,3(5):307-312.
    [7]Grebogi Celso,Ying Cheng Lai et al.Control and Applications of Chaos.Journal of The Franklin Institute,1997,334(5-6):1115-1146.
    [8]曹建福,韩崇昭,方洋旺.非线性系统理论及应用.西安:西安交通大学出版社,2001:73-83.
    [9]方锦清.非线性控制与混沌控制论:略谈与现代控制论的结合.自然杂志,1998,20(3):147-152.
    [10]Pecora L M Carroll T L.Synchronization of Chaotic systems.Phys.Rev.Lett.,1990,A(64):821-824.
    [11]Boccaletti S,Kurthsc J et al.The synchronization of chaotic systems.Physics Reports,2002(366):1-101.
    [12]Holger Kanz,Thomas Schreiber.Nonlinear time series analysis.北京:清华大学出版社,2000.1-237.
    [13]方锦清.超混沌、混沌的控制与同步,北京:科技导报,1996(4):6-8.
    [14]Lorenz E N.Deterministic nonperiodic flow.J.Atmos.Sci.,1963,20:130-141.
    [15]吴祥兴,陈忠等.混沌学导论.上海:科技文献出版社,1996:120-143.
    [16]张学义.混沌同步及其在通信中的应用研究:[博士学位论文].哈尔滨:哈尔滨工程大学,2001:1-10.57-60.
    [17]陈滨.混沌在时变参数保密通信及雷达波形设计中的应用基础研究:[博士学位论文].成都:电子科技大学,2007:1-15.
    [18]James Gleick.Chaos making a new science.Viking penguin inc New York April 1988:10-32.
    [19]Koearev L and Parlitz U.General approach for chaotic synehronization with applications to Communication.Phys.Rev.Lett.1995,74(6):5028-5031.
    [20]Cuomo K M,Oppenheim A V and Strogatz H.Synchronization of lorenz based chaotic circuits with applications to communications.IEEE Trans.Circuits Syst.11,1993,40(10):626-633.
    [21]Wu C W and Chua L O.A simple way to synehronize chaotic systems with applications to secure communication systems.Int.J.Bifurc.Chaos,1993,3(6):1619-1627.
    [22]Short K M.Steps toward unmasking secure communications.Int,J.Bifurc.Chaos,1994:959-977.
    [23]Zhou H and Ling X.Problems with the chaotic inverse system encryption approach.IEEE Trans.Circuits Syst.Ⅰ,1997,44(3):268-271.
    [24]Alvarez G,Montoya F,Romera M,et al.Breaking Two Secure Communication Systems Based on Chaotic Masking.IEEE Trans.CireuitsSyst.11,2004,51(10):501-506.
    [25]Cuomo K M,Oppenheim A V.Circuit implementation of synchronized chaos with application To Communications.Phys.Rev.Lett.1993,71:65-68.
    [26]Mianovic V,Zaghloul M E.Improved masking algorithm chaotic communications,systems.Electronic Letters,1996,(1):11-12.
    [27]Yu P,Lookman T.Extract recovery from masked chaotic signal.Mini Symposium CryPtograghy.Toronto:Canadian Applied Mathematics Society,1997.
    [28]Liao T and Huang N.An observer-based approach for chaotic synchronization with applications to secure communications.IEEE Trans.Circuits Syst.Ⅰ,1999,46:1144-1150.
    [29]Boutayeb M,Darouach M,and Rafaralahy H.Generalized state-space observers for chaotic synchronization and secure communication.IEEE Trans.Circuits Syst.Ⅰ,2002,49:345-349.
    [30]吴敏,丘水生.一个混沌保密通信方案的改进.通信技术,2003(1):103-105.
    [31]朱双鹤,李小春等.一种新的混沌掩盖保密通信方案.空军工程大学学报(自然科学版),2002,3(6)37-41.
    [32]李建芬,李农.一种新的蔡氏混沌掩盖通信方法.系统工程与电子技术,2002,24(4):37-410.
    [33]Dedieu H,Ogrzalek M J.identifiability and identification of chaotic systems based on adaptive synchronization.IEEE Trans.Cireuits Syst,Ⅰ,1997,44(10):948-962.
    [34]Yang T,Chua LO.Secure communication via chaotic Parameter modulation.IEEE Trans.Circuits Syst Ⅰ,1996,43(9):817-819.
    [35]Parlitz U,Junge L.Synchronization based Parameter estimation from time series.Phys.Rew.E,1996,54(6):6253-6259.
    [36]Maybhate A,Amritkar R E.Use of synchronization and adaptive control in parameter estimation from a time series,phys.Rew.E,1999,59(1):284-293.
    [37]Debin H.Synchronization based estimation of all Parameters of chaotic systems from time series.Phys.Rew.E,2004,69:067201.
    [38]汪亮,山秀明.基于状态反馈的混沌参数调制解调方法.清华大学学报(自然科学版)2002,42(1):23-25.
    [39]d'Anjou,A.,Sarasola,C.Parameter adaptive global synchronization of Lorenz chaotic systems The IEEE 2000 Adaptive Systems for Signal Processing,Communications,and Control Symposium 2000.Oct.2000:471-476.
    [40]Emadzadeh.A.A,M.Haeri.M.Synchronization of Two Different Uncertain Chaotic Systems via Adaptive,The International Conference on Control Computer as a Tool 2005.1:270-273.
    [41]Celka,P.Synchronization of chaotic systems through parameter adaptation.IEEE International Symposium on Circuits and Systems,1995.May 1995,vol.1:692-695.
    [42]Azou S and Burel G.Design of a demodulator in a chaos-based spread spectrum communication system using dual Unscented Kalman Filters.IEEE-Communications,Bucharest,Romania.Dee.2002,5-7.
    [43]Azou S,Pistre C,and Burel G.A chaotic direct sequence spreadspectrum system for underwater communication.IEEE-oceans,02,Biloxi,MS,USA,Oet.2002.
    [44]凌聪,孙松庚.Logistic映射跳频序列.电子学报,1997,25(10):79-81.
    [45]凌聪,孙松庚.用于跳频码分多址通信的混沌跳频序列.电子学报,1999,27(1):67-69.
    [46]李文化,王智顺,何振亚.用于跳频多址通信的混沌跳频码.通信学报,1999,17(6):17-21.
    [47]Pursley M B.Performance evaluation for phase-code spread-spectrum multiple-access communications -part Ⅰ:system analysis.IEEE Trans.Commun..,1977,25(8):795-799.
    [48]Mazzini G et al,Chaotic complex spreading sequences for asynchronous DS CDMA Part Ⅰ:system modeling and results.IEEE Trans.Circuit Syst Ⅰ,1997,44(10):937-947.
    [49]Kohno R,Meidan R and Milstein L B.spread spectrum multiple access methods for wireless communications.IEEE Communications magazine,1995,1:58-67.
    [50]Rao S S,and Howard S P.correlation performance of chaotic signals in spread spectrum systems,in Proc.IEEE Digital Signal processing Workshop,1996,9:506-509.
    [51]Kohda T and Tsuneda A.Even-and odd-correlation functions of chaotic chebyshev bit sequences for CDMA.In Proc.IEEE Int.SymP.spread spectrum Technology and applications,1994,391-395.
    [52]Heidari-Bateni G,and MeGillem C D.A chaotic direct sequence spread spectrum communication system.IEEE Trans.Communications,1994,42(2,3,4):1524-1527.
    [53]Halle K S,Wu C W,Itoh M,Chua L O.spread spectrum communication through modulation of chaos.International Journal of Bifuration and Chaos,1993,3(2):469-477.
    [54]Dedieu H,Kermedy M P and Hasler M.Chaos shiftkeying:Modulation and demodulation of Chaotic cartier using self-synchronizing Chuass circuits.IEEETrans.Circuits Syst.11,1993,40(10):634-642.
    [55]Kermedy M P and Dedieu H.Experimental demonstration of binary chaos shiftkeying using self-synchronizing Chua's circuits.In Proc.IEEE Int.Specialist Workshop on Nonlinear Dynamics of Electronic Systems,Dresden,germany,July,1993:67-72.
    [56]Kolumb'an G,Vizv' ari B,Sehwarz W,et al.Differential chaos shiftkeying:A robust coding for chaotic communication.In Proc.4~(th) Int.wokhop on Nonlinear Dynamics or Electronic Systems,Sevilla.Spain,June27-28,1996:87-92.
    [57]Kolumb'an G,Kennedy M P and Chua L O.The role of synchronization in digital communication using chaos Part Ⅰ:Fundamentals of digital communications.IEEE Trans Circuits Syst.Ⅰ,1997,44(10):927-936.
    [58]Kolumb'an G,Kennedy M P and Chua L O.The role of synchronization in digital communication using chaos Part Ⅱ:Chaotic modulation and chaotic synchronization.IEEE Trans.Circuits Syst Ⅰ,1998,45(11):1129-1140.
    [59]Jako Z,Kennedy M P,Kis G and Kolumban G.FM-DCSK:A Robust Modulation Scheme for Chaotic Communications.In IEICE Trans.Fundamentals,1998,E81-A,No.9.
    [60]禹思敏,丘水生,罗伟民.二进制混沌键控信号相关解调的实验研究.电路与系统学报,2000,5(3):31-35.
    [61]葛志平,蒋铃鸽,何晨.一种改进的筹分混沌键控通信方案及其性能分析.上海交通大学学报,38(增刊):14-19.
    [62]Perez G.Extracting message masked by chaos.Phys.Rew.Lett.,1995,74(11):6253-6259.
    [63]Yang T,Yang L B and Yang C M.Breaking chaotic switching using generalized synchronization:Examples.IEEE Trans.Circuits Syst.Ⅰ,1998,45(10):1062-1067.
    [64]Koearev L,Parliz U.Generalized synchronization,predictability and equivalence of unidirectionally coupled dynamical systems,phys.Rew.Lett.,1996,76(11):1816-1819.
    [65]Rulkov N F,Sushchik M Mand Tsimring L S.Generalized synchronization of chaos in directionally coupled chaotic systems,phys.Rew.E,1995,51(2):980-994.
    [66]Uchida A,McAllister R and Mencei R.Generalized synchronization of chaos inidentical systems with hidden degrees of freedom.Phys.Rew.Lett.,2003,91(17):174101.
    [67]Hu G J,Feng Z J and Meng R L.Chosen ciphertext attack on chaos communication based on chaotic synchronization.IEEE Trans.Circuits Syst.1,2003,50(2):275-79.
    [68]DingM Z.Synchronizing hyper chaos for communication.IEEE Trans.Circuits Syst.Ⅰ,1996,3(3):205-208.
    [69]Koearev L.Chaos synchronization of high-dimensional dynamical systems.IEEETrans.Circuits Syst.1,1995,2(5):1009-1012.
    [70]Peng J H,Ding E J,Ding M,et al.Synchronizing hyperehaos with a scalar transmitted signal.Phys.Rev.Lett.,1996,76:904-907.
    [71]Bocealetti S,Bragard J and Arecchi F T.Controlling and synchronizing space time chaos.Phys.Rev.E,1999,59(6):6574-6578.
    [72]Bragard J,Boeealetti S and Arecchi F T.Control and synehronization of space extended dynamical systems.Int.J.Bifurcation and Chaos,2001,11(11):2715-2729.
    [73]张家树,党建亮,李恒超.时空混沌序列的局域支持向量机预测.物理学报,2007,56(1):67-77.
    [74]Zhan M,Wang X G and Gong X E Complete synchronization and generalized synchronization of one-wayeoupled time-delay systems.Phys.Rew.E,2003,68:036208.
    [75]Tao Chao,Yu Zhang,Gonghuan Du,et al.Estimating model parameters by chaos synchronization.Phys.Rew.E,2004.69:036204.
    [76]Jianquan Lu and Jinde Cao.Adaptive complete synchronization of two identical or different chaotic(hyPerchaotic) systems with fully unknown Parameters.Chaos,2005,15:043901.
    [77]Xingang Wang and Meng Zhan,C H Lai and Gang Hu.Error function attack of chaos synchronization based encryption schemes.Chaos,2004,14(1):128-137.
    [78]Short K M and Parker A T.Unmasking a hyperchaotic communication scheme.Phys.Rew.E,1998,58(1):1159-1162.
    [79]Zhou C S and Lai C H.Extracting messages masked by chaotic signals of time-delay systems.Phys.Rew.E,1999,60(1):320-323.
    [80]Uehida A,McAllister R and Meucci R.Generalized synchronization of chaos inidentical systems with hidden degrees of freedom.Phys.Rew.Lett.,2003,91(117):174101.
    [81]Zhengguo Li,Kun Li,Changyun Wen,et al.A New Chaotic Secure Communication System.IEEE Trans.On communications,2003,51(8):1306-1312.
    [82]Carrol T L.Noise-Robust Synchronized Chaotic Communications.IEEETrans.circuits.Syst.Ⅰ,2001,48(12):1519-1522.
    [83]Millerioux G,Daafouz J.Global chaos synchronization and robust filtering in noisy context.IEEE Trans.Circuits Syst.,2001,48(10):1170-1176.
    [84]Abel A,Schwartz W and Goetz M.Noise performance of chaotic communication systems.IEEE Trans.Circuits Syst.I,2000,47(12):1726-1732.
    [85]Kevin M,Cuomo Alan V.Oppenheim.Chaotic signals and systems,for communications,1993 IEEE International Conference on Acoustics,Speech,and Signal Processing,April 1993,vol 3,27-30:137-140.
    [86]Kevin M.Cuomo,Alan V.Oppenheim.Synchronization of Lorenz-based chaotic circuits with applications to communications,IEEE Trans.Circuits syst,Ⅱ,1993,40(10):626-633.
    [87]R.Clark.Robinson.an introduction to dynamical system:continuous and discrete,Pearson Prentice Hall,New Jersey,2004:246-249.
    [88]Shen Cheng,Shi Zhiguo and Ran Lixin.synchronizing chaotic Colpitts circuits adaptively with parameter mismatches and channel distortions,IEEE International Symposium on Circuits and Systems,2005,6:6042-6045.
    [89]Yang X,Wu T.X and Jaggard D.L.synchronization recovery of chaotic wave through an imperfect channel,IEEE antennas and wireless propagation letters,2002,Vol.1:154-156.
    [90]张琪昌,王洪礼等.分岔与混沌理论及应用.大津:津大学出版社,2005:169-172.
    [91]K.Ramasubramanian and M.S.Sriram.A comparative study of computation of Lyapunov spectra with different algorithms,Phys.Rev.E 60,R1126 1999.
    [92]钟国群.蔡氏电路混沌同步保密通讯.电路与系统学报,1996,1(1):19-29.
    [93]Carroll.T,Pecora.L.M.Synchronizing chaotic circuits IEEE Trans.Circuits Syst.,1991,38(4):453-456.
    [94]李辉.混沌数字通信.北京:清华大学出版社,2006:45-224.
    [95]王栋,张金春等.同步保密通信系统的研究与发展.海军航空工程学院学报,2006,21(2):257-260.
    [96]李清都,杨晓松.二维混沌信号产生器设计.电子学报,2005,3:1299-1302.
    [97]Q.li,X,-S.Yang.Multiple-scrolls chaotic attractor and its circuit implementation.Electron.lett.,2003,39(18):1306-1307.
    [98]S.Nakagawa and T.Saito.An RC OTA hysteresis chaos generator.IEEE Trans.Circuits syst,Ⅰ,1996,43:1019-1021.
    [99]Brown r.Generalization of the Chua equations.IEEE Trans.Circuits syst,Ⅰ,1993,40:878-884.
    [100]Q.li,X,-S.Yang.Chaox generator via Wien-bridge oscillator.Electron.lea.,2002,38(13):623-625.
    [101]李清都,杨晓松.三维混沌信号产生器设计.电子学报,2007,35(3):497-500
    [102]Q.li,X,-S.Yang.Chaos generator via Wien-bridge oscillator,Electron.lett.,2002,38(13)pp.623-625.
    [103]Efremova,E.V.,Maksimov,N.A..Panas,A.I.control of the power spectrum envelope in a single-transistor chaotic oscillator Signals,International Symposium on Circuits and Systems,2003 July.vol.1 2003:17-20.
    [104 周金芳,冉立新等.基于混沌信号频谱分布的蔡氏电路参数选择方法.浙江大学学报1999,33(5):487-492.
    [105]Vladimir S.Udaltsov,Laurent Larger,et al.Bandpass Chaotic Dynamics of Electronic OscillatorOperating With Delayed Nonlinear Feedback.IEEE Transactions on Circuits and Systems Ⅰ:Fundamental Theory and Applications,Jul 2002,49(7):1006-1009.
    [106]Khalil,H.K.著,朱义胜,董辉等译.非线性系统.北京:电子工业出版社,2005:25-114.
    [107]关新平,范正平等.混沌控制及其在保密通信中的应用,北京:国防工业出版社,2002:245-296.
    [108]赵耿,郑德玲,方锦清.混沌保密通信的最新进展.科技技进展,23(2):77-86.
    [109]周文学,褚衍东.一类Gronwall_Bellman型不等式的统一证明及其推广.州交通大学学 报(自然科学版),2005,24(6):144-145.
    [110]ChengShen,Zhiguo Shi and Lixin Ran.Synchronizing chaotic Colpitts circuits adaptively with parameter mismatches and channel distortions,ISCAS 2005.IEEE International Symposium on Circuits and Systems,2005,6:6042-6045.
    [111]Zhan Xingzhi.Matrix Inequalities.Berlin,Springer,2002:63-64.
    [112]阿·阿·玛尔德纽克,孙振绮.带小参数的诈线性系统的稳定性分析.北京:科学出版社,2006:1-14.
    [113]Xiaomin Yang,Wu T.X..Chaotic synchronization recovery through an imperfect channel,IEEE Antennas and Propagation Society International Symposium,2002,vol.4:648-651
    [114]史治国,冉立新,陈抗生.非理想信道下Colpitts混沌电路的自适应同步研究.电路与系统学报,2006,11(4):116-120.
    [115]Milanovic,V.,Zaghloul,M.E.Improved masking algorithm for chaotic communications systems,Electronics Letters 1996 32(1):11-12.
    [116]Kuang-Yow Lian,Chian-Song Chiu,Tung-Sheng Chiang,et al.LMI-based fuzzy chaotic synchronization and communications,IEEE Transactions on Fuzzy Systems,Aug.2001,vol 9(4):539-553.
    [117]Hongtao Li,Shiqi Hao,Lei Wang.Control of Adaptive Synchronization of Continuous-time Chaotic Systems The Sixth World Congress on Intelligent Control and Automation,2006.vol 1:839-842.
    [118]Ushio T.Control of chaotic synchronization and secure communication systems Emerging Technologies and Factory Automation,1994.ETFA '94.,IEEE Symposium on6-10 Nov.1994:231-238.
    [119]Celka,P.Synchronization of chaotic systems through parameter adaptation.Circuits and Systems,1995.ISCAS '95,28 April-3,May 1995,vol.1:692-695.
    [120]Bin Chen.Zheng-Ou Zhou,et al.Time-Varying Parameter Method with High Security Performance for Chaotic Synchronized Communications,2006 International Conference on Circuits and Systems Proceedings,vol 4,25-28 June 2006:2376-2380.
    [121]翁贻芳,翁莉娟等.提高混沌同步保密通信安全性的设计方案研究.电子与信息报,2004,26(7):1057-1063.
    [122]Jianquan Lu and Jinde Cao.Adaptive complete synchronization of two identical or different chaotic(hyperchaotic) systems with fully unknown parameters CHAOS 15,043901_2005_
    [123]Rossler O E.An equation for hyperchaos,1979,Phys.Lett.A 71 155.
    [124]Chen G,Dong X.From Chaos to Order:Methodologies,Perspectives and Applications Singapore:World Scientific,1998:111-145.
    [125]王光瑞,于熙龄.陈式刚混沌的控制、同步与利用.北京:国防工业出版社,2001:15-117.
    [126]王兴元.非线性系统中的混沌.北京:电子工业出版社,2003:35-78.
    [127]Li Y X,Tang W K S,Chen.Generating hyperchaos via state feedback control.International journal of bifurcation and chaos 15(10):3367-3375.
    [128]A.M.Chen,J.A.Lu,J.Lu,et al.Generating hyperchaotic Lu attractor via state feedback control.Physica A,2006,364:103-110.
    [129]Nikolov S,Clodong S chaotic and hyperchaotic behavior in a family of modified rossler hyperchaotic systems 2004 Chaos,Solitons Fract.22 407.
    [130]Gao T G,Chen Z Q,Yuan Z Z,et al.Impulsive synchronization of a class of chaotic systems 2006 Int.J.Mod.Phys.C 17 471.
    [131]孙琳,姜德平.驱动函数切换调制实现超混沌数字保密通信.物理学报,2006,(07):3283-3288.
    [134]程丽,张入元,彭建华.用单一驱动变量同步混沌与超混沌的一种方法,物理学报,52(3):536-541.
    [135]马军,廖高华,莫晓华等.超混沌系统的间歇同步与控制.物理学报,2005,54(12):5585-5590.
    [136]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):3997-4004.
    [137]王兴元,王明军.超混沌Lorenz系统.物理学报,2007,56(9):5136-5141.
    [138]蔡国梁,黄娟娟.耦合超混沌系统的同步.浙江大学学报,2007,28(3):269-272.
    [139]高金峰,廖旎焕,梁占红.一种超混沌混合保密通信方案.电路与系统学报,2005,10(4):128-131.
    [140]禹思敏,林清华,丘水生.四维系统中多涡卷混沌与超混沌吸引子的仿真研究.物理学报,2003,52(1):25-33.
    [141]王铁邦,覃团发,陈光旨.超混沌系统的耦合同步.物理学报,2001,50(10):1851-1855.
    [142]A.Aria and A.E.Williams.New type of waveguide ban@ass filters for satellite transponders,COMSAT Tech.Rev.,vol.1,no.1,1971:pp.21-43.
    [143]A.E.Aria and A.E.Williams,Narrow-bandpass waveguide filters,IEEE Trans.Microwave Theory Tech.,vol.MTT-20,Apr.1972:258-265.
    [144]A.E.Atia,A.E.Williams,and R.W.Newcomb,Narrow-band multiple-coupled cavity synthesis,IEEE Trans.Circuit Syst.,vol.CAS-21,Sept.1974:649-655.
    [145]S.Amari.Synthesis of cross-coupled resonator filters using an analytical gradient-based optimization technique,IEEE Trans.Microwave Theory Tech.,Sept.2000,48(9):1559-1564.
    [146]R.J.Cameron.General coupling matrix synthesis methods for Chebyshev filtering functions,IEEE Trans.Microwave Theory Tech.,Apr 1999,47(4):433-442.
    [147]A.Lamecki,P.kozakowski.Fast synthesis of coupled-resonator filters,IEEE Trans. Microwave and Wireless Components Letters, Apr. 2004, 14(4): 174-176.
    [148] W.A. Atia, K.A. Zaki, A.E Atia. Synthesis of general topology multiple coupled resonator filters by optimization. Microwave Symposium Digest, 1998 IEEE MTT-S International, vol. 2, Jun 1998, No.7-12: 821-824.
    [149] Ilona Rolfes and Burkhard Schiek. Multiport method for the measurement of the scattering parameters of N-port. IEEE trans. Microw. theory. tech., June 2005, 53(6): 1990-1996.
    [150] Hsin-Chia Lu and Tah-Hsiung Chu. Multiport scattering matrix measurement using a reduced-port network analyzer. IEEE trans. Microw. theory. tech., May 2003, 51(5): 1525-1533.
    [151] Meyer, T. Jostingmeier, A. Spiliotis, et al. Multiport scattering parameter measuring system. ARFTG Microwave Measurements Conference, 2003. Fall 2003. 62nd 4-5 Dec. 2003: 269-273.
    [152] J. C. Tippet and R. A. Speciale. A rigorous technique for measuring the scattering matrix of a multiport device with a two-port network analyzer. IEEE Trans. Microw. Theory Tech, May 1982., MTT-30(5): 661-666.
    [153] G Szentirmai. Two-port equivalences for bandpass filters, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Sept. 2000,47(9): 1431-1437.
    [154] R. J. Wenzel. Understanding transmission zero movement in cross-coupled filters, 2003 IEEE MTT-S International Microwave Symposium Digest, June 2003, 3: 1459-1462.
    [155] R. Levy, P. Petre. Design of CT and CQ filters using approximation and optimization, IEEE Transactions on Microwave Theory and Techniques, Dec. 2001, vol. 49,(12): 2350 - 2356.
    [156] N. Yildirim, M. Karaaslan, Y.Sen,et al. Cascaded triplet filter design using cascade synthesis approach, 1999 IEEE MTT-S International Microwave Symposium Digest, June 1999, 3: 903-906.
    [157] R. Lavy. new cascaded trisections with resonant cross-couplings (CTR sections) applied to the design of optimal filters, 2004 IEEE MTT-S International Microwave Symposium Digest, June 2004,2(6-11): 447-450.
    [158] H. J. Orchard, A. N. Willson. Elliptic functions for filter design, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Apr. 1997,44(4): 273-287.
    [159] Y. S. Zhu and W. K. Chen, Computer aided Design of communication Networks, World Scientific Singapore 2000:548-551.
    
    [160] R. A. Speciale. Derivation of the generalized scattering parameter renormalization transformation, in Proc. 1980 IEEE Int. Syrnp.Circuirs and Syst., Apr. 28-30, 1980:166-169.

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