臺灣博碩士論文加值系統

多媒體應用影響了我們生活中許多方面，所以多媒體數據安全已經變成了一個很重要的議題。為了保護日益增長的多媒體數據，數據加密技術一直不斷的發展至今。
本文基於三維度Lorenz渾沌系統，重新設計出一個新四維度Lorenz渾沌系統。並且應用Matlab分析此新渾沌系統的特性。其中包含了二維相圖、三維相圖、平衡點分析、散度分析、功率頻譜密度分析及Lyapunov指數圖。之後藉由電路模擬軟體Multisim模擬此新渾沌系統，模擬無誤後我們將此系統的實際電路實現在麵包板上與模擬結果做比較。
在控制理論部分，我們設計順滑控制、積分順滑控制和適應性積分順滑控制三種控制器完成新四維度Lorenz渾沌系統同步並比較之間差異。之後對此系統做離散化和離散化同步並實現在現場可程式化閘陣列平台上。
最後藉由此渾沌系統特性對即時影片作安全加密演算法，且利用同步控制在FPGA上進行即時影片解密演算法。在這項研究中，我們將渾沌主系統轉成數位訊號，進而對即時影片加密，並利用同步後的從系統對即時影片進行解密。

Because multimedia applications affect many aspects of our life, multimedia data security is becoming an important problem. To protect the increasing use of multimedia, security technologies are being developed.
Based on the 3D Lorenz chaotic system, we redesign and produce the New 4D Lorenz chaotic system. And we apply the Matlab to analyze the new chaotic system’s properties which include 2D phase portraits, 3D phase portraits, equilibrium analysis, divergence analysis, power spectral density analysis and Lyapunov exponent diagrams. Then we simulate the new chaotic system by electronic circuit simulation software named Multisim. If the simulation is correct, we establish the real circuit on the breadboard and compare the result with simulation.
In the part of control theory, we use sliding mode control, integral sliding mode control and adaptive integral sliding mode control to implement the New 4D Lorenz chaotic system’s synchronization and compare the three kinds of controllers’ difference. After that, we discretize the new system and synchronize it. Therefore, we can implement on the FPGA platform.
Finally, we use the chaotic system’s property to implement real-time video secure encryption algorithm. Besides that, utilizing the synchronization of control for the real-time video decryption algorithm on FPGA. In this study, we convert the master and synchronized slave system to digital signals. The master system is used for real-time video encryption and the slave one is used for decrypting real-time video.

摘要 I
Abstract II
誌謝 III
List of Figures VIII
List of Tables XI
Chapter 1 Introduction 1
1.1 Motivation 1
1.2 Objectives 2
1.3 Literature review 2
1.4 Thesis structure 3
Chapter 2 Nonlinear Dynamics Analysis of the New 4D Lorenz Chaotic System 4
2.1 Phase portraits 4
2.2 Equilibrium analysis 5
2.3 Divergence analysis 7
2.4 Power spectrum analysis 7
2.5 Lyapunov exponent 7
2.6 Design and realization of electronic circuit 7
Chapter 3 Synchronization of the New 4D Lorenz Chaotic System by Using Adaptive Integral Sliding Mode control 20
3.1 Synchronization of the new 4D Lorenz chaotic system by using the sliding mode control 20
3.1.1 The theory of the sliding mode control 20
3.1.1.1 Sliding surface design 21
3.1.1.2 Design of the sliding mode controller 22
3.1.1.3 Stability analysis 23
3.1.2 Construction of the sliding mode controller for the new 4D Lorenz chaotic system 23
3.2 Synchronization of the new 4D Lorenz chaotic system by using the integral sliding mode control 26
3.2.1 The theory of the integral sliding mode control 26
3.2.1.1 Integral sliding surface design 26
3.2.1.2 Design of the integral sliding mode controller 27
3.2.1.3 Stability analysis 28
3.2.1.4 Integral sliding surface’s principle 29
3.2.2 Construction of the integral sliding mode controller for the new 4D Lorenz chaotic system 29
3.3 Synchronization of the new 4D Lorenz chaotic system by using the adaptive integral sliding mode control 31
3.3.1 The theory of the adaptive integral sliding mode control 31
3.3.1.1 Sliding surface design 32
3.3.1.2 Design of the adaptive integral sliding mode controller 33
3.3.1.3 Stability analysis 34
3.3.2 Construction of the adaptive integral sliding mode controller for the new 4D Lorenz chaotic system 34
Chapter 4 Hardware Implementation of New 4D Lorenz Chaotic System Synchronization by Using FPGA 43
4.1 Introduction to FPGA 43
4.2 Implementation of New 4D Lorenz chaotic system on FPGA 44
4.2.1 new 4D Lorenz chaotic system for FPGAs using DSP builder 44
4.1.2 Discretization of continuous new 4D Lorenz chaotic system based on the Euler’s method 45
4.3 Synchronization of the new 4D Lorenz chaotic system by using the sliding mode control in FPGA 51
4.3.1 Design and simulation of sliding mode controllers for the synchronization of new 4D Lorenz system 51
4.3.2 FPGA implementation of sliding mode synchronization for new 4D Lorenz chaotic system 54
4.4 Synchronization of the new 4D Lorenz chaotic system by using the integral sliding mode control in FPGA 56
4.4.1 Design and simulation of integral sliding mode controllers for the synchronization of new 4D Lorenz system 56
4.4.2 FPGA implementation of integral sliding mode control synchronization for new 4D Lorenz chaotic system 59
4.5 Synchronization of the new 4D Lorenz chaotic system by using the adaptive integral sliding mode control in FPGA 61
4.5.1 Design and simulation of adaptive integral sliding mode controllers for the synchronization of New 4D Lorenz system 61
4.5.2 FPGA implementation of adaptive integral sliding mode control synchronization for new 4D Lorenz chaotic system 65
Chapter 5 Encryption of Real-Time Video Based on New 4D Lorenz Chaotic System by using FPGA 68
5.1 Introduction to the real-time video cryptography based on the new 4D Lorenz chaotic system 68
5.1.1 XOR Encryption techniques 69
5.1.2 The architecture of proposed real-time video cryptography algorithm 70
5.2 Experimental results 73
Chapter 6 Conclusion 74
References 75

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