臺灣博碩士論文加值系統

本論文中，我們使用了多種混沌映射應用至腦波圖加密軟體實現，採用的混沌映射為邏輯映射及二次映射來開發Level-IV的腦波加密軟體，也討論了二次映射的Level-I、Level-II、Level-III加密平台效能，總計八種類型的腦波圖加密軟體。我們使用了均方根誤差百分比來估計原始腦波圖與正確解密的腦波圖之間的準確性，而皮爾森係數是用來估計錯誤解密與原始腦波圖的相互關聯性。從測試結果觀察，邏輯映射及二次映射只要有0.0001%和1%的初始錯誤，就不能得到正確解密的腦波圖。二次映射的皮爾森係數在Level-I、Level-II、Level-III裡較邏輯映射為低，邏輯映射跟二次映射的均方根誤差百分比各在Level-I、Level-II、Level-III中皆為 和 ，Level-IV中邏輯-二次映射及二次-邏輯映射的均方根誤差百分比分別為 和 。這些結果顯示，Level-IV映射可以應用於臨床腦波圖診斷中。

In the thesis, we develop a chaos-based electroencephalogram (EEG) encryption software by using multiple chaotic maps for encryption. Further, we adopt a chaos logic map and a quadratic map to develop the chaos-based level IV EEG encryption software. We discuss the encryption performance of the chaos-based level I, II, and III software using the quadratic map. In addition, we discuss the encryption performance of the chaos-based level IV software using logic-quadratic and quadratic-logic maps. Eight types of chaos-based EEG encryption software have been developed. The percent root-mean-square difference is used to estimate the accuracy of a correctly decrypted EEG signal with respect to the original EEG signal. Pearson’s correlation coefficient is used to estimate the correlation between the original EEG signal and an incorrectly decrypted EEG signal. Test results shows that for input parameters with 0.0001% and 1% initial point errors, the use of chaos logic and quadratic maps results in chaotic encryption; thus, the encrypted EEG clinical signals cannot be recovered. Pearson’s correlation coefficient of the original and incorrectly decrypted EEG signals for the chaos-based level I, II, and III software using the quadratic map is lower than that using the chaos logic map. Moreover, Pearson’s correlation coefficient of the original and incorrectly decrypted EEG signals for the chaos-based level IV software using the logic-quadratic map is lower than that using the quadratic-logic map. The percent root-mean-square difference values of the original and correctly decrypted EEG signals for the chaos-based level I, II, and III software using the logic and quadratic maps are , and , respectively. Furthermore, the percent root-mean-square difference values of the original and correctly decrypted EEG signals for the chaos-based level IV software using the logic-quadratic and quadratic-logic maps are , and , respectively. These results indicate that the chaos-based level IV EEG encryption software can be applied to clinical EEG diagnosis.

目錄
致
要...............................................................................................................I
摘要..............................................................................................................II
Abstract.....................................................................................................III
目錄.............................................................................................................IV
圖目錄.......................................................................................................VII
表目錄.........................................................................................................X
第1章 緒論.................................................................................................1
1.1 前言.................................................................................................1
1.2 研究動機與目的.............................................................................2
1.3 研究方法與步驟.............................................................................2
1.4 各章節內容概述.............................................................................4
第2章 研究背景與原理.............................................................................5
2.1 加密與解密系統.............................................................................5
2.1.1 密碼學...............................................................................5
2.1.2 密碼技術...............................................................................7
2.2 混沌理論.........................................................................................8
2.2.1 背景.........................................................................................8
2.2.2 混沌與密碼學.........................................................................9
2.2.3 邏輯映射.................................................................................10
2.2.4 二次映射.................................................................................13
2.3 開發環境與程式開發語言...........................................................14
2.3.1 開發環境.................................................................................14
2.3.2 開發語言.........................................................................16
第3章 腦波圖混沌加密軟體...................................................18
3.1 系統架構與系統功能...................................................................18
3.2 一維混沌位元流加密機制...........................................................20
3.2.1 一維混沌位元流攪亂器-Level I............................................21
3.2.2 一維混沌位元流攪亂器-Level II..........................................22
3.2.3 一維混沌位元流攪亂器-Level III........................................25
3.2.4 一維混沌位元流攪亂器-Level IV.........................................27
3.2.5 訊號攪亂機制.........................................................................31
第4章 實驗結果與分析...........................................................................32
4.1 腦波圖加密軟體使用方法...........................................................32
4.2 訊號分析…..................................................................................38
4.2.1 均方根誤差百分比.................................................................38
4.2.2 皮爾森相關係數.....................................................................39
4.3 腦波圖加密軟體分析與結果探討...............................................40
4.3.1 腦波圖加密軟體之一維混沌位元流攪亂器- Level I...........41
4.3.2 腦波圖加密軟體之一維混沌位元流攪亂器- Level II.........47
4.3.3 腦波圖加密軟體之一維混沌位元流攪亂器- Level III.......53
4.3.4 腦波圖加密軟體之一維混沌位元流攪亂器- Level IV........60
4.4 一維多混沌腦波加密器LevelI到Level IV討論.......................66
第5章 結論與未來展望...........................................................................68
參考文獻 ................................................................................................69

參考文獻

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