Design and Realizations of Miniaturized Fractal Microwave and RF Filters

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  • Format: Hardcover
  • Copyright: 2009-11-09
  • Publisher: Wiley

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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

Forewordp. ix
Prefacep. xi
Microwave Filter Structuresp. 1
Backgroundp. 2
Cavity Filtersp. 3
Evanescent-Mode Waveguide Filtersp. 3
Coupled Cavity Filtersp. 5
Dielectric Resonator Filtersp. 9
E-Plane Filtersp. 12
Planar Filtersp. 13
Semi-lumped Filtersp. 14
Planar Transmission Line Filtersp. 14
Planar Filter Technologyp. 19
Microstrip Technologyp. 19
Coplanar Technologyp. 20
Suspended Substrate Stripline Technologyp. 20
Multilayer Technologyp. 21
Active Filtersp. 22
Superconductivity or HTS Filtersp. 23
Periodic Structure Filtersp. 24
SAW Filtersp. 25
Micromachined Filtersp. 27
Summaryp. 28
Referencesp. 29
In-Line Synthesis of Pseudo-Elliptic Filtersp. 35
Introductionp. 35
Approximation and Synthesisp. 36
Chebyshev Filtersp. 36
Pseudo-elliptic Filtersp. 37
Pseudo-elliptic Characteristic Functionp. 38
Pseudo-elliptic Transfer Functionsp. 40
Cross-Coupled and In-Line Prototypes for Asymmetrical Responsesp. 41
Analysis of the In-Line Prototype Elementsp. 45
Synthesis Algorithm for Pseudo-elliptic Lowpass In-line Filtersp. 49
Frequency Transformationp. 50
Prototype Synthesis Examplesp. 52
Theoretical Coupling Coefficients and External Quality Factorsp. 59
Referencesp. 61
Suspended Substrate Structurep. 63
Introductionp. 63
Suspended Substrate Technologyp. 64
Unloaded Quality Factor of a Suspended Substrate Resonatorp. 66
Coupling Coefficients of Suspended Substrate Resonatorsp. 69
Input/Output Couplingp. 69
Coupling Between Resonatorsp. 69
Enclosure Design Considerationsp. 73
Referencesp. 75
Miniaturization Of Planar Resonators Using Fractal Iterationsp. 79
Introductionp. 79
Miniaturization of Planar Resonatorsp. 81
Fractal Iteration Applied to Planar Resonatorsp. 82
Minkowski Resonatorsp. 84
Minkowski's Fractal Iterationp. 84
Minkowski Square First-Iteration Resonatorp. 85
Minkowski Rectangular First-Iteration Resonatorp. 86
Minkowski Second-Iteration Resonatorsp. 88
Sensitivity of Minkowski Resonatorsp. 90
Hibert Resonatorsp. 92
Hilbert's Curvep. 92
Hilbert Half-Wavelength Resonatorp. 93
Unloaded Quality Factor of Hilbert Resonatorsp. 94
Sensitivity of Hilbert Resonatorsp. 96
Referencesp. 98
Design and Realizations of Meandered Line Filtersp. 101
Introductionp. 102
Third-order Pseudo-elliptic Filters with Transmission Zero on the Rightp. 102
Topology of the Filterp. 102
Synthesis of the Bandpass Prototypep. 103
Defining the Dimensions of the Enclosurep. 103
Defining the Gap Distancesp. 105
Further Study of the Filter Responsep. 107
Realization and Measured Performancep. 110
Sensitivity Analysisp. 114
Third-order Pseudo-elliptic Filters with Transmission Zero on the Leftp. 117
Topology of the Filterp. 117
Synthesis of the Bandpass Prototypep. 118
Defining the Dimensions of the Enclosurep. 118
Defining the Gap Distancesp. 118
Realization and Measured Performancep. 122
Sensitivity Analysisp. 125
Referencesp. 127
Design and Realizations of Hilbert Filtersp. 129
Introductionp. 129
Design of Hilbert Filtersp. 130
Second-Order Chebyshev Responsesp. 130
Third-Order Chebyshev Responsesp. 134
Third-Order Pseudo-elliptic Responsep. 136
Third-Order Pseudo-elliptic Responses Using Second-Iteration Resonatorsp. 144
Realizations and Measured Performancep. 148
Third-Order Pseudo-elliptic Filter with Transmission Zero on the Rightp. 149
Third-Order Pseudo-elliptic Filter- with Transmission Zero on the Leftp. 154
Referencesp. 159
Design And Realization of Dual-Mode Minkowski Filtersp. 161
Introductionp. 161
Study of Minkowski Dual-Mode Resonatorsp. 162
Design of Fourth-Order Pseudo-elliptic Filters with Two Transmission Zerosp. 166
Topologyp. 166
Synthesisp. 167
Design Stepsp. 168
Realization and Measured Performancep. 176
Referencesp. 182
Equivalence Between J and K Lowpass Prototypesp. 183
Extraction of the Unloaded Quality Factor of Suspended Substrate Resonatorsp. 189
Indexp. 193
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