| Summary: | 碩士 === 國立成功大學 === 電腦與通信工程研究所 === 100 === 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.
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