Design and Realizations of Miniaturized Fractal Microwave and RF Filters

by Jarry, Pierre; Beneat, Jacques

• ISBN13: 9780470487815
• ISBN10: 047048781X
• Edition: 1st
• Format: Hardcover
• Copyright: 2009-11-09
• Publisher: Wiley

Summary

Miniaturized filters are well suited for the increasing number of compact and low power applications. Presenting studies of the performance of fractal resonators and sensitivity analyses of suspended substrate realizations, Design and Realizations of Miniaturized Fractal Microwave and RF Filters provides RF and microwave engineers and researchers, advanced graduate students, and wireless and telecommunication engineers with the knowledge and skills to design and realize miniaturized fractal microwave and RF filters. This definitive source provides timely insight on fractal resonators for compact and low power microwave and RF.

Author Biography

Pierre Jarry graduated from the University of Limoges. As a professor at University of Brest, he directed the Laboratory of Electronics and Telecommunication Systems (LEST), affiliated with the French National Center for Scientific Research (CNRS). He later joined the University of Bordeaux and the CNRS laboratory IMS. He has published 300 technical papers in microwave and RF circuit synthesis, and is a senior member of the IEEE. Jacques Deneat received his PhD in electrical and computer engineering from Worcester Polytechnic Institute with a focus in advanced microwave structures for satellite communications, and a doctorate degree from the University of Bordeaux with Mention Trs Honorable avec flicitations du Jury. He was a research scientist at the Center for Wireless Information Network Studies at WPI and is currently Associate Professor of Electrical and Computer Engineering at Norwich University. Pierre Jarry and Jacques Beneat are the authors of the bestselling book Advanced Design Techniques and Realizations of Microwave and RF Filters, published by Wiley-IEEE Press and available also in electronic form.

Table of Contents

Foreword	p. ix
Preface	p. xi
Microwave Filter Structures	p. 1
Background	p. 2
Cavity Filters	p. 3
Evanescent-Mode Waveguide Filters	p. 3
Coupled Cavity Filters	p. 5
Dielectric Resonator Filters	p. 9
E-Plane Filters	p. 12
Planar Filters	p. 13
Semi-lumped Filters	p. 14
Planar Transmission Line Filters	p. 14
Planar Filter Technology	p. 19
Microstrip Technology	p. 19
Coplanar Technology	p. 20
Suspended Substrate Stripline Technology	p. 20
Multilayer Technology	p. 21
Active Filters	p. 22
Superconductivity or HTS Filters	p. 23
Periodic Structure Filters	p. 24
SAW Filters	p. 25
Micromachined Filters	p. 27
Summary	p. 28
References	p. 29
In-Line Synthesis of Pseudo-Elliptic Filters	p. 35
Introduction	p. 35
Approximation and Synthesis	p. 36
Chebyshev Filters	p. 36
Pseudo-elliptic Filters	p. 37
Pseudo-elliptic Characteristic Function	p. 38
Pseudo-elliptic Transfer Functions	p. 40
Cross-Coupled and In-Line Prototypes for Asymmetrical Responses	p. 41
Analysis of the In-Line Prototype Elements	p. 45
Synthesis Algorithm for Pseudo-elliptic Lowpass In-line Filters	p. 49
Frequency Transformation	p. 50
Prototype Synthesis Examples	p. 52
Theoretical Coupling Coefficients and External Quality Factors	p. 59
References	p. 61
Suspended Substrate Structure	p. 63
Introduction	p. 63
Suspended Substrate Technology	p. 64
Unloaded Quality Factor of a Suspended Substrate Resonator	p. 66
Coupling Coefficients of Suspended Substrate Resonators	p. 69
Input/Output Coupling	p. 69
Coupling Between Resonators	p. 69
Enclosure Design Considerations	p. 73
References	p. 75
Miniaturization Of Planar Resonators Using Fractal Iterations	p. 79
Introduction	p. 79
Miniaturization of Planar Resonators	p. 81
Fractal Iteration Applied to Planar Resonators	p. 82
Minkowski Resonators	p. 84
Minkowski's Fractal Iteration	p. 84
Minkowski Square First-Iteration Resonator	p. 85
Minkowski Rectangular First-Iteration Resonator	p. 86
Minkowski Second-Iteration Resonators	p. 88
Sensitivity of Minkowski Resonators	p. 90
Hibert Resonators	p. 92
Hilbert's Curve	p. 92
Hilbert Half-Wavelength Resonator	p. 93
Unloaded Quality Factor of Hilbert Resonators	p. 94
Sensitivity of Hilbert Resonators	p. 96
References	p. 98
Design and Realizations of Meandered Line Filters	p. 101
Introduction	p. 102
Third-order Pseudo-elliptic Filters with Transmission Zero on the Right	p. 102
Topology of the Filter	p. 102
Synthesis of the Bandpass Prototype	p. 103
Defining the Dimensions of the Enclosure	p. 103
Defining the Gap Distances	p. 105
Further Study of the Filter Response	p. 107
Realization and Measured Performance	p. 110
Sensitivity Analysis	p. 114
Third-order Pseudo-elliptic Filters with Transmission Zero on the Left	p. 117
Topology of the Filter	p. 117
Synthesis of the Bandpass Prototype	p. 118
Defining the Dimensions of the Enclosure	p. 118
Defining the Gap Distances	p. 118
Realization and Measured Performance	p. 122
Sensitivity Analysis	p. 125
References	p. 127
Design and Realizations of Hilbert Filters	p. 129
Introduction	p. 129
Design of Hilbert Filters	p. 130
Second-Order Chebyshev Responses	p. 130
Third-Order Chebyshev Responses	p. 134
Third-Order Pseudo-elliptic Response	p. 136
Third-Order Pseudo-elliptic Responses Using Second-Iteration Resonators	p. 144
Realizations and Measured Performance	p. 148
Third-Order Pseudo-elliptic Filter with Transmission Zero on the Right	p. 149
Third-Order Pseudo-elliptic Filter- with Transmission Zero on the Left	p. 154
References	p. 159
Design And Realization of Dual-Mode Minkowski Filters	p. 161
Introduction	p. 161
Study of Minkowski Dual-Mode Resonators	p. 162
Design of Fourth-Order Pseudo-elliptic Filters with Two Transmission Zeros	p. 166
Topology	p. 166
Synthesis	p. 167
Design Steps	p. 168
Realization and Measured Performance	p. 176
References	p. 182
Equivalence Between J and K Lowpass Prototypes	p. 183
Extraction of the Unloaded Quality Factor of Suspended Substrate Resonators	p. 189
Index	p. 193
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