本論文分析與設計具多重零點之微小型帶通濾波器。文章中提出兩種新類型的帶通濾波器。第一種類型是由鏡像濾波元所組成，由鏡像參數理論推導出傳輸電路特性和設計公式。當給定濾波器規格，即依據推導的公式求得各元件參數值，並利用數值電磁軟體進行微調。另一類型的帶通濾波器是由一種新型的自我耦合環形共振器所組成，此共振器利用環形線段的自我耦合及阻抗變化使模態分裂，取代傳統均勻環形共振器外加微擾方式，使共振頻率往低頻帶移動，更能縮減電路尺寸。本文將對其共振條件與傳輸零點的產生和分佈進行分析與討論。採用此新型的共振器設計帶通濾波器，其尺寸只有傳統環型共振器帶通濾波器的23%。上述兩種類型濾波器均進行實作，由量測數值驗證所提出理論的正確性。

This dissertation works on the analysis and design of miniaturized bandpass filters with controllable multiple transmission zeros for multi-band multimode wireless RF transceivers. Two new structures of bandpass filter are proposed and investigated. The first bandpass structure is composed of a cascade of enhanced m-derived filter cells and the second is composed of the self-coupled ring resonators. On the first bandpass structure, the image-parameter theory is employed to analyze the transmission-zero generation and to derive the element design equations. By substituting this set of element values into an electromagnetic simulator to include the layout and parasitic coupling effects, the prescribed bandpass specifications can be achieved. On the second bandpass structure, the self-coupled ring resonator brings the advantage of two transmission zeros generated by a single resonator. The effect of circuit parameters on the generation of transmission zero are thoroughly investigated, including the separation of input/output tapping locations, the impedance ratio, the coupling coefficients, and the coupling length of the ring. Both types of bandpass filter are implemented either with the low-temperature-cofired ceramic process or with the glass epoxy substrate. The measurement results confirm the distinct features of the proposed filter structures.

Chapter 1 Introduction 1
1-1 Research Motivation 1
1-2 Literature Survey 1
1-2-1 Bandpass Filter Synthesis by Insertion Loss Method 1
1-2-2 Bandpass Filter Synthesis by Image-Parameter Theory 2
1-2-3 Bandpass Filter Based on the Closed Ring Resonator 2
1-3 Thesis Outline 3

Chapter 2 Review of Image Parameter Synthesis Method 5
2-1 Image-Parameter Theory 5
2-2 Constant-k Filter Cells with Lowpass and Highpass Characteristic 6
2-3 Constant-k Filter Cells with Bandpass and Bandstop Characteristic 8
2-4 m-Derived Filter Cells with Lowpass and Highpass Characteristic 10
2-5 m-Derived Filter Cells with Bandpass Characteristic 13
2-6 Double-m-derived Asymmetrical Filter Cells with Bandpass
Characteristic 10
2-7 Five-Element m-Derived Asymmetrical Bandpass Filter Cells 17
2-7-1 Infinite Attenuation at DC Frequency 17
2-7-2 Infinite Attenuation at Infinite Frequency 18

Chapter 3 Bandpass Filter Design Based on the Image Parameter Method 20
3-1 Bandpass Filter Cell with Two Transmission Zeros 20
3-1-1 Filter Cell with Lumped Elements 21
3-1-2 Filter Cell with Hybrid of Lumped and Distributed Elements 23
3-1-3 Cascade of Filter Cells 25
3-2 Design of Bandpass Filter with Multiple Transmission Zeros 27
3-2-1 Circuit Element Estimation and Calculated Frequency
Response 27
3-2-2 LTCC layout 29
3-2-3 3D Electromagnetic Simulation for Including Substrate Losses
and Cross-layer Coupling 29
3-2-4 Measurement Results and Discussion 32
3-3 Summary 33

Chapter 4 Bandpass Filter Using Self-Coupled Ring Resonators 35
4-1 Resonance Mode 36
4-1-1 Resonance Conditions 36
4-1-2 Effect of Impedance Ratio 40
4-1-3 Effect of Coupling Coefficient 40
4-2 Transmission Zeros 44
4-3 Bandpass Filter Application 46
4-3-1 Initial Dimension Estimation 47
4-3-2 LTCC Layout 47
4-3-3 3D Electromagnetic Simulation 48
4-3-4 Measurement 48
4-4 Summary 51

Chapter 5 Parametric Control of Transmission-Zero Location of Self-coupled Ring Bandpass Filter 52
5-1 Governed Equations of Transmission-Zeros Locations 52
5-1-1 Effect of the Input-Output Separation Length 54
5-1-2 Effect of the Ended-Coupled Section Electric Length 55
5-1-3 Effect of the Self-Coupled Coefficient and 58
5-1-4 Effect of the Impedance Ratio 58
5-2 Bandpass Filter Application 62
5-2-1 Initial Dimension Estimation 62
5-2-2 3D Electromagnetic Simulation 62
5-2-3 Measurement 62
5-3 Summary 65

Chapter 6 Conclusion 67

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