本論文以矽基板被動元件製程，實現一款微型化雙頻鼠競耦合器及一款雙頻巴倫帶通濾波器晶片設計。該微型化雙頻鼠競耦合器使用合成共平面波導，搭配並聯接地之串聯共振器導納負載，同時實現雙頻操作與電路微型化之設計。本設計之電路面積為6.2 × 2.8 mm^2，與傳統單頻鼠競耦合器相比，具有面積縮小比例達97.2 % 之顯著微型化能力，於嚴格之規格條件限制下，仍可於兩頻帶分別具19.6 % 與5.3 % 之比例頻寬，模擬與量測響應亦十分吻合。
而雙頻巴倫帶通濾波器，以二階式柴比雪夫濾波器架構，並利用共振器於共振頻率前後之不同電抗特性，並搭配極簡式非耦合巴倫器之設計法則，同時達成具雙頻操作、濾波能力、巴倫特性與電路微型化之元件。與現今文獻之所有雙頻巴倫帶通濾波器相比，本設計方法不僅更為簡單，不需運用任何繁複之耦合技巧，且在具備同等水準之電氣響應同時，電路面積僅為1.5 × 1.25 mm^2，較他者縮小數百倍之多。本設計之兩頻帶比例頻寬分別為26 % 與18.5 %，模擬與量測結果大部分皆十分吻合，而兩者之相異處亦於內文詳細探討，並提出改善方法使電氣響應可有效提升，本設計經改良後可成為現代無線通訊系統應用中具優良競爭力之微波被動元件候選者之一。

In this thesis, an on-chip miniaturized dual-band rat-race coupler and an on-chip dual-band balun bandpass filter are developed with the silicon-based integrated passive device technology. The miniaturized dual-band rat-race coupler is realized with synthesized coplanar waveguides and lumped resonators to simultaneously achieve size miniaturization and dual-band operation. This design has a circuit footprint of 6.2 × 2.8 mm^2, along with a remarkable size reduction of 97.2 %. The fractional bandwidths are 19.6% and 5.3%, respectively.
The design of the dual-band balun bandpass filter begins with the second-order Chebyshev canonical filter model. Benefitting from the reactance behavior of an off-resonance resonator and the unique concept of a minimal balun design, the proposed balun filter simultaneously fulfill the goals of dual-band operating, good filtering property, acceptable common-mode rejection, and size miniaturization. When compared to the dual-band balun filters in the literature, the proposed method is straightforward without applying any coupling techniques. Nevertheless, it shows similar electrical response along with a very compact circuit footprint of 1.5 × 1.25 mm^2. It is one-hundredth the size of the second smallest one in the literature. The fractional bandwidths are 26% and 18.5%, respectively. Ways to improve the common-mode rejection ratio are discussed, as well.

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