# 臺灣博碩士論文加值系統

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 在電路分析的過程中，為了降低分析的複雜度及提高效率，會將電路簡化後再進行。然而，目前滿足兩對稱平面的四埠網路，在考慮埠端連接負載後退化所形成的雙埠網路中，其分析過程中電路架構的簡化，僅考量單一對稱平面的特性，因此本論文針對此型態電路將兩對稱平面同時納入考慮並作後續的探討。 本論文首先將電路架構中具兩對稱平面的四埠網路定義為完全對稱型態，藉由Bartlett等分理論的應用將完全對稱型態電路作簡化，整理出完整電路與四分之一間散射參數、阻抗轉移參數及導納轉移參數的轉換關係式；接著考量實際電路的特性 (如雙埠選取位置及負載特性等)，將參數作適當選取或運算，即可建置出雙埠網路的電路參數，作為電路分析使用。 其次，本論文針對文獻中電路經簡化後最常見的四分之一塊模型進行探討，除了推導出諧振頻率與零點響應的數學條件式，並分析其零點所代表的物理含意，同時發現電路架構中影響電路響應的重要因子。最後，本論文透過電路的模擬驗證相關式子推導的正確性。
 In the process of circuit analysis, structure simplifying is normally required to reduce the complexity and improve the efficiency. In this thesis, we define the 4-ports network which has 2 symmetry planes is all-symmetrical type. However, for the 2-ports network formed by an all-symmetrical 4-ports network, the simplification of circuit architecture only considered one of the symmetry in the past. Thus, this thesis concentrates on circuit simplification which takes advantage of the character of both symmetries. Based on the Bartlett’s bisection theorem, we simplify the all-symmetrical 4-ports network into one quarter and find out the relationships of S, Z and Y parameters from these structures. Moreover, considering the characteristics of circuit and loading, the parameters of 2-ports network derived from these 4-ports networks are determined after appropriate conversion. Furthermore, focusing on the most common model of the quarter circuit from the literatures, we derive the formulas of resonance frequencies and transmission zeros, investigate the physical significations of the transmission zeros, and discover the key factors of structure that influence the response. Finally, the formulas in this thesis are verified by circuit simulations.
 第一章 緒論……………………………………………………………………………………………………1第二章 S參數分析方式探討……………………………………………………………………………………………………52-1 Bartlett等分理論…………………………………………………………………………………………………………52-2 Collin之分析方式介紹…………………………………………………………………………………………………72-3 考慮埠端負載……………………………………………………………………………………………………………………11 2-3-1 訊號流程圖………………………………………………………………………………………………………11 2-3-2 考慮埠端具負載………………………………………………………………………………………………15 2-3-2-1 考慮電路架構為單埠網路時……………………………………………………15 2-3-2-2 考慮電路架構為雙埠網路時……………………………………………………22 2-3-2-3 考慮電路架構為三埠網路時……………………………………………………26第三章 Z與Y參數分析方式探討……………………………………………………………………………………………293-1 對稱電路之二分之一塊電路分析………………………………………………………………………………30 3-1-1 雙埠網路……………………………………………………………………………………………………………30 3-1-1-1 阻抗轉移參數………………………………………………………………………………31 3-1-1-2 導納轉移參數………………………………………………………………………………32 3-1-2 四埠網路……………………………………………………………………………………………………………34 3-1-2-1 阻抗轉移參數………………………………………………………………………………34 3-1-2-2 導納轉移參數………………………………………………………………………………383-2完全對稱電路之四分之一塊電路分析…………………………………………………………………………42第四章 完全對稱電路架構之四分之一區塊電路模型探討……………………………………………444-1 四分之一區塊電路模型介紹…………………………………………………………………………………………474-2 諧振頻率探討……………………………………………………………………………………………………………………504-3 零點響應探討……………………………………………………………………………………………………………………52 4-3-1 電路參數的建置………………………………………………………………………………………………52 4-3-2 零點響應探討……………………………………………………………………………………………………55 4-3-2-1 單向性……………………………………………………………………………………………56 4-3-2-2 具互易性且為無損時…………………………………………………………………58第五章 實際電路分析探討………………………………………………………………………………………………685-1 符合特殊四分之一塊電路架構探討……………………………………………………………………………68 5-1-1 案例探討……………………………………………………………………………………………………………68 5-1-2 文獻架構分類比較…………………………………………………………………………………………735-2 堆疊式耦合線濾波器架構……………………………………………………………………………………………79第六章 結論與展望……………………………………………………………………………………………………………85參考文獻………………………………………………………………………………………………………………………………………88
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