本論文主要是研究精密測量之高階超取樣類比數位轉換器，以二階積分三角調變器為基礎，依序設計出比例積分補償與三階積分三角調變器，根據系統頻域和時域的分析結果，以響應較好的三階架構運用輔助軟體加以模擬及實現，並對輸入變動測量調變器輸出變化。經過驗證此轉換器電路，可以達到量測儀器所需之精確度與線性度。

The main purpose of this thesis is to research High-Order Sigma-Delta Analog-to-Digital converter for precision measurement, a PI compensator and a third-order Sigma-Delta modulator has been proposed based on a second-order Sigma-Delta modulator. In accordance with the analysis result of frequency domain and time domain of system, we use third-order model because of better response with auxiliary software to simulate and implement the system, then measure modulator output variance for input variation. This converter circuit demonstrates that it can achieve the requirements of precision and linearity which the measure instrument demands.

中文摘要 I
英文摘要 II
目錄 III
圖目錄 VI
表目錄 XI
第一章 緒論 1
1.1 研究動機 1
1.2 研究方法 1
1.3 論文架構 3
第二章 積分三角調變器原理 5
2.1 傳統類比數位轉換器 5
2.1.1 奈式A/D轉換器 5
2.1.2 超取樣A/D轉換器 6
2.2 奈式取樣率與量化誤差 7
2.2.1 奈式取樣率 7
2.2.2 量化誤差 9
2.3 積分三角調變器特性 11
2.3.1 抗交連濾波器 12
2.3.2 超取樣技術 13
2.3.3 雜訊移頻技術 15
2.3.4 輸出時域分析 16
2.4 數位降頻濾波器 19
第三章 積分三角調變器架構 22
3.1一階積分三角調變器 22
3.2 二階積分三角調變器 25
3.3 N階積分三角調變器 28
3.4 內插架構 29
3.5串疊架構 30
第四章 系統設計與模擬分析 33
4.1 二階積分三角調變器 33
4.2比例積分控制應用於二階積分三角調變器 37
4.3 三階積分三角調變器設計 42
第五章 硬體電路設計與實驗結果 49
5.1 三階積分三角調變器模擬電路 49
5.2 三階積分三角調變器實作電路 54
第六章 結論與未來展望 63
6.1 結論 63
6.2 未來展望 64
參考資料 65

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