本論文研究並實現應用於無線系統封裝之高度微型化帶通濾波器設計，濾波器合成理論採用耦合矩陣合成方法，根據所欲實現之設計規格，在幾何結構上選擇適當的饋入點與耦合間距來滿足所對應之外部品質因子與耦合係數。耦合矩陣合成方法提供一快速便捷的方式來設計高性能帶通濾波器，但目前大多實現於微帶線結構上；常見之微帶線帶通濾波器雖然具有高性能但所佔面積過大而不易整合於系統封裝之中。本論文提出在內埋被動元件基板內實現堆疊電感-電容式諧振器架構與堆疊式螺旋電感諧振器架構來實現微型化之單頻與多頻帶通濾波器設計，且每個頻帶兩側皆有傳輸零點來提高禁帶衰減量；所實現之微型化帶通濾波器，其性能與面積皆可與低溫共燒陶瓷基板帶通濾波器相較量。除了內埋被動元件基板技術之外，積體化被動元件製程技術在目前系統封裝中也常被用以實現各種射頻被動元件，積體化被動元件製程可同時提供高繞線密度之高感值電感器與薄層且高介電係數之高容值電容器；本論文善用此製程特色來實現高繞線密度之平面變壓器型微小化帶通濾波器設計。又因為此平面變壓器具有良好的結構對稱性，故也適合用於實現平衡性元件；所實現之變壓器型巴倫式帶通濾波器除了具有面積微小化的特色外，同時也具有出色共模拒斥比之平衡性效果。此外，本論文中所實現之各種帶通濾波器設計，其電磁模擬結果與實際量測數據皆具高度吻合。

This dissertation studies and implements highly miniaturized bandpass filter designs for wireless System-in-Package (SiP) applications. Based on the coupling matrix synthesis method, the external quality factors and coupling coefficients can be extracted by selecting the proper tapped-line feeding position and coupling spacing in geometrical configuration. Despite their high performance, most conventional microstrip bandpass filter designs require a bulky area for achieving, making them difficult to implement SiP applications. This dissertation first develops a stacked LC resonator and a stacked spiral resonator (SSR) in an embedded passive substrate (EPS) for realizing miniature single- and multi-band bandpass filters. Moreover, multiple transmission zeros created on both sides of each passband provide high stopband roll-off rates. The designed performance and size are comparable to those of low-temperature co-fired ceramic (LTCC) bandpass filters. As another conventional means of implementing RF passive components, the integrated passive device (IPD) process can produce large-value inductors and high-density capacitors, simultaneously. This dissertation fully utilizes the advantages of IPD technology to implement very compact bandpass filter designs with multiple transmission-zero frequencies at stopband by using a high-density wiring planar transformer configuration. Furthermore, due to the fully symmetric geometry, the transformer-coupled bandpass filter can be easily converted into a balun bandpass filter, capable of providing a superior balance performance with a significantly higher common mode rejection ratio (CMRR) level. The electromagnetic (EM) simulation results, as obtained by using Ansys-Ansoft HFSS, agree with the measurement results for all of the proposed designs in this dissertation.

1 Introduction 1
1.1 Research Motivation 1
1.2 Planar Filter Technologies for SiP Applications 2
1.2.1 Low-Temperature Co-Fired Ceramic Substrate (LTCC) 2
1.2.2 Embedded Passive Substrate (EPS) 3
1.2.3 Integrated Passive Device Substrate (IPD) 4
1.3 Overview of Dissertation 6
2 Bandpass Filter Design Using Stacked LC Resonators 8
2.1 Design Methodology for Implementing Coupled Bandpass Filters 8
2.2 Stacked LC Resonator-Based Bandpass Filter Designs 11
2.2.1 Second-Order Bandpass Filter Design 11
2.2.2 Fourth-Order Bandpass Filter Design 12
2.2.3 Tuning of Transmission Zeros 13
2.3 Trisection Bandpass Filter Design with a Nearby Stopband Rejection 16
3 Multiband Bandpass Filter Design Using Stacked Spiral Resonators 19
3.1 Stacked Spiral Resonators 19
3.1.1 Dual-Resonance Resonator 19
3.1.2 Triple-Resonance Resonator 23
3.2 Dual-Band Bandpass Filter Design 25
3.3 Triple-Band Bandpass Filter Design 30
4 Integrated Transformer-Coupled Balun Bandpass Filter Design 38
4.1 Design of Transformer-Coupled Bandpass Filters 38
4.2 Creation and Matching of Balun Balanced Port 45
4.2.1 Balanced Output Matching Approach 46
4.2.2 Single-Ended Input Matching Approach 48
4.3 Bandwidth-Dependent CMRR 51
5 Integrated Dual-Band and Dual-Mode Bandpass Filter Design 56
5.1 Dual-Resonance Composite Resonators 56
5.1.1 Dual-Resonance Resonator with a Grounded Inductor 57
5.1.2 Dual-Resonance Resonator with a Parallel Capacitor 58
5.2 Dual-Mode Bandpass Filter Design 59
5.2.1 Dual-Mode Passband Design 59
5.2.2 Transmission-Zero Creation 60
5.2.3 Experimental Results 62
5.3 Dual-Band Bandpass Filter Design 65
5.3.1 Dual Passband Design 65
5.3.2 Transmission-Zero Mechanism 67
5.3.3 Experimental Results 67
6 Conclusions 71
Bibliography 73
Vita 84

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