Chaotic Secure Communication

Kehui Sun, Central South University, Changsha, China

• Table of content:PrefaceChapter 1 Introduction1.1 Linear, nonlinear and chaos1.2 History of chaos research1.3 Important scientists and interesting stories during the development of chaos1.4 Definition and characteristics of chaos1.5 Review on the research of chaotic synchronization method1.5.1 Existing synchronization methods and its characteristics 1.5.2 Other synchronization methods and problems1.6 Review on the study of chaotic secure communication1.6.1 Chaotic analogy communication1.6.2 Chaotic digital communication1.6.3 Encryption communication based on chaotic sequence1.7 Chaos research methods and the main research contentsChapter 2 Chaos performances analysis approach for nonlinear system2.1Phase trajectory (phase) graph analysis method 2.2 Power spectrum analysis method 2.3 Poincaré section method2.4 Lyapunov characteristics exponent method2.4.1 Definition of Lyapunov characteristic exponent2.4.2 Lyapunov characteristics spectrum2.4.3 Physical meaning of Lyapunov characteristics spectrum2.4.4 Condition Lyapunov characteristics exponent2.5 Fractal dimension analysis method2.6 0-1 test method2.6.1 0-1 test algorithm2.6.2 Modified 0-1 test algorithm2.6.3 Application of 0-1 test method2.7 Frequency divider sampling method?????2.8 Pseudo phase space method 2.9 Complexity measure method2.9.1 Spectral entropy complexity algorithm2.9.2 C0 complexity algorithmChapter 3 Typical chaotic system3.1 Discrete chaotic system 3.1.1 Logistic map3.1.2 Tent map3.1.3 Hénon map3.1.4 TD-ERCS map3.2 Continuous chaotic system3.2.1 Duffing oscillator3.2.2 van der Pol oscillator3.2.3 Lorenz chaotic system3.2.4 Rössler chaotic system3.2.5 Chua's circuit system3.2.6 Chen chaotic system3.2.7 Lü chaotic system3.2.8 Unified chaotic system3.2.9 Simplified Lorenz chaotic system3.2.10 Proposed standard for new chaotic system3.3 Hyperchaotic system3.3.1 Rössler hyperchaotic system3.3.2 Chen hyperchaotic system Chapter 4 Synchronization principle and method of chaotic system4.1 Definition of chaos synchronization4.2 Performance index of chaos synchronization system4.3 Principle and performance of feedback control synchronization 4.3.1 Multi-variables driving feedback control synchronization between continuous chaotic system4.3.2 Linear and nonlinear feedback control synchronization for discrete chaotic system4.4 Adaptive parameter synchronization control based on Pecora-Carroll synchronization criterion4.4.1 Principle of adaptive parameter synchronization 4.4.2 Choice of control law and control parameter4.4.3 Determine of the control constant boundary and scope4.4.4 Synchronization simulation and results discussion4.5 Adaptive synchronization based on Lyapunov stability theory 4.5.1 Adaptive synchronization control for chaos system with known parameter4.5.2 Adaptive synchronization control for chaos system with unknown parameter 4.6 Intermittent feedback synchronization4.6.1 Intermittent feedback synchronization control between different chaos systems 4.6.2 Synchronization simulation and performance analysis4.7 Chaos synchronization control based on states observer 4.7.1 Design principle of states observer4.7.2 Design of states observer for unified chaotic system4.7.3 Simulation and results discussion 4.8 Chaos observer synchronization 4.8.1 Design principle of chaos observer 4.8.2 Design of chaos observer for unified chaotic system 4.8.3 Synchronization simulation and performance analysis 4.9 Projective synchronization4.9.1 Principle and simulation of scale projective synchronization 4.9.2 Principle and simulation of function projective synchronization 4.9.3 Principle and simulation of adaptive function projective synchronization 4.10 Problems and hot topic about chaos synchronization Chapter 5 Secure communication technology based on chaos synchronization 5.1 Chaos masking communication5.2 Chaos shift keying communication5.2.1 COOK5.2.2 CSK5.2.3 DCSK5.2.4 FM-DCSK5.2.5 QCSK5.3 Chaos parameter modulation 5.4 Chaotic spread spectrum communication5.4.1 Principle of chaotic direct sequence spread spectrum 5.4.2 Chaotic spread spectrum code 5.4.3 Multi user chaotic spread spectrum simulation module 5.4.4 Design and simulation of multi user chaotic spread spectrum system based on Rake receiver 5.4.5 Performance analysis of multi user chaotic spread spectrum system based on Rake receiver Chapter 6 Information encryption technology based on chaotic sequence6.1 Chaotic cryptography6.1.1Tradtional cryptosystem 6.1.2 Relationship between chaotic cryptography and traditional cryptography 6.1.3 Principle of chaotic sequence encryption6.2 Digital encryption algorithm based on chaotic sequence 6.2.1 Basic requirement for chaotic encryption algorithm 6.2.2 Logistic map system and its statistical characteristics 6.2.3 Chaotic sequence encryption module and algorithm 6.2.4 Implementation of data encryption algorithm 6.2.5 System debugging and performance analysis 6.3 Two value watermark image encryption algorithm based on chaotic map6.3.1 Improvement of chaotic pseudo random sequence generator 6.3.2 Two value watermark image encryption algorithm based on TD-ERCS6.3.3 Performance analysis of encryption algorithm 6.4 Color image watermarking algorithm based on chaotic map and wavelet transform6.4.1 Wavelet transform algorithm and its application 6.4.2 Watermark embedding and extraction algorithm 6.4.3 Simulation and performance analysis6.5 Chaotic image encryption algorithm6.5.1 Chaotic image encryption technology6.5.2 New Scheme of chaotic image encryption Chapter 7 Audio and video of chaotic encryption communication technology7.1 Real time voice encryption communication principle7.1.1 Principle of digital encryption communication system 7.1.2 Real time voice encryption communication system7.1.3 Cipher synchronization technology7.2 Real time data stream encryption algorithm7.2.1 3DES encryption algorithm7.2.2 3DES encryption algorithm combined with chaotic map7.2.3 Network synchronization method 7.2.4 Security performance analysis of real time voice encryption communication 7.3 Implementation of real time voice encryption communication 7.3.1 Framework of real time voice encryption communication system 7.3.2 Real time transport protocol and its data structure7.3.3 RTP protocol realization based on adaptive communication environment7.3.4 Debugging and performance testing7.4 MPEG video encryption algorithm based on chaotic sequence 7.4.1 Design principle of chaotic encryption system 7.4.2 MPEG video encryption principle and step 7.4.3 Design of stream cipher based on chaos7.4.4 Design of scrambling algorithm based on chaos7.4.5 Encryption experiment and effect analysis7.4.6 Performance analysis of MPEG video encryption system7.5 H.264 video encryption algorithm based on chaos 7.5.1 Design of chaotic stream cipher based on TD-ERCS7.5.2 H.264 video encryption scheme7.5.3 Performance analysis of video encryption Chapter 8 Analysis and simulation of fractional-order chaotic system8.1 Research status of fractional-order chaotic system 8.2 Definition of fractional calculus and its physical meaning8.3 Approximate method of fractional-order chaotic system 8.3.1 Approximate method in frequency domain 8.3.2 Approximate method in time domain 8.4 Simulation method for fractional-order system 8.4.1 Dynamic simulation method8.4.2 Circuit simulation method8.4.3 Numerical Simulation method8.4.4 Comparison among simulation methods 8.5 Dynamics of fractional-order unified chaotic system based on frequency method 8.5.1 Module of fractional-order unified chaotic system 8.5.2 Dynamic simulation of fractional-order unified chaotic system 8.5.3 Dynamics of fractional-order unified chaotic system with fixed parameter 8.5.4 Dynamics of fractional-order unified chaotic system with changed parameter 8.6 Dynamics of fractional-order diffusionless Lorenz system based on time method8.6.1 Module of 8.6.2 Chaos characteristic of fractional-order diffusionless Lorenz system 8.6.3 Bifurcation analysis with different control parameter R 8.6.4 Bifurcation analysis with different fractional order 8.6.5 Bifurcation characteristics with different fractional order equationChapter 9 Simulation and implementation of chaotic system 9.1 Dynamic simulation for chaotic system 9.1.1 Steps of dynamics simulation on Simulink9.1.2 Results analysis and its performance improvment9.2 Circuit simulation for chaotic system9.3 Chaotic analog circuit design9.3.1 Design steps for chaotic analogy circuit9.3.2 Chaotic analogy circuit modular design 9.3.3 Basic composition and component selection of chaotic circuit9.4 Improved modular design of chaotic circuit9.4.1 Design of multi scroll Jerk circuit based on OA component9.4.2 Design of multi scroll Jerk circuit based on CC component9.5 Design and implementation of DSP chaotic system 9.5.1 Experimental platform of DSP chaotic system 9.5.2 DSP implementation of integer-order chaotic system 9.5.3 DSP implementation of fractional-order chaotic systemAppendix: Matlab source program for chaotic characteristics analysis