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研究生: 吳元龍
Yuan-Long Wu
論文名稱: 渾沌系統之輸入信號效應、時間延遲設計、初值控制及電路實現
A study of input signal effect, time delay design, initial value control and circuit implementation for chaotic systems
指導教授: 楊振雄
Cheng-Hsiung Yang
口試委員: 蘇順豐
陳金聖
謝飛虎
蔡明忠
郭永麟
楊振雄
學位類別: 博士
Doctor
系所名稱: 工程學院 - 自動化及控制研究所
Graduate Institute of Automation and Control
論文出版年: 2017
畢業學年度: 105
語文別: 英文
論文頁數: 85
中文關鍵詞: 渾沌系統輸入信號效應初始值控制時間延遲類比電路
外文關鍵詞: Chaotic system, Input signal effect, Initial value control, Time-delay, Analog circuit
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  • 渾沌系統對於訊號設計和訊號產生,提供了豐富的機制,在通信系統和信號處理有應用的潛力。由於渾沌信號通常是寬頻的,類似雜訊的,難以預測的,因此在訊號傳送過程中可用於遮罩訊號,在展頻系統中可用於調變波形,在系統中可以有很多實際的應用,例如安全資料通信、遮蔽訊息信號、擴展數據序列或用於產生隨機信號。
    渾沌系統因其複雜性、不可預測性及系統的變化對初始條件的選取非常敏感,近年來有相當多將渾沌系統應用於訊息加密的研究。為強化渾沌系統的訊息加密應用,本論文提出輸入信號對渾沌系統的影響、控制渾沌系統初始值的方法、時間延遲渾沌系統的快速設計方式、類比電路實現及實驗結果印證。


    Chaotic systems provide a rich mechanism for signal design and generation, with potential applications to communications and signal processing. Because chaotic signals are typically broadband, noise-like, and difficult to predict, they can be used in various contexts for masking information bearing waveforms. They can also be used as modulating waveforms in spread spectrum systems. This can be useful in many practical circumstances like securing communication channels, masking signals, spreading data sequence, or for generating random signals.
    For the sake of complexity, unpredictability and exceedingly sensitive to initial conditions in the chaotic systems, there are many studies for information encryption of chaotic systems. Enhancing the security in information encryption of chaotic systems, this thesis proposes the effects of input signals for chaotic systems, initial value control for chaotic systems, a rapid way to design time-delay chaotic systems, analog circuit implementation and experiment results verifying.

    摘要 I Abstract II 致謝 III List of Figures V List of Tables XII Chapter 1 Introduction 1 1.1 Background and Motivation 1 1.2 Organization and Main Tasks 2 Chapter 2 The Effects of Input Signals for Chaotic Systems 3 2.1 Chaotic System 3 2.2 Fractional-Order System 17 Chapter 3 Initial Value Control Circuit for Chaotic Systems 24 3.1 Chaotic System 24 3.2 Fractional-Order System 34 Chapter 4 Circuits and Chips Implementation for Chaotic Systems 37 4.1 Chaotic System 37 4.2 Hyper-Chaotic System 45 4.3 Initial Value Tuning via The Pulse-Width Control Circuit 54 Chapter 5 Conclusions and Future Works 58 5.1 Conclusions 58 5.2 Future Works 59 Appendix: A Rapid Way to Build Time-Delay Chaotic Systems 60 A.1 Chaotic System 60 A.2 Fractional-Order System 61 References 63 Publication List 70

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