Description
Reflectionless Filters, Second Edition presents a class of filter topologies whose designs maintain a theoretically zero reflection coefficient at both ports across all frequencies. This resource for new circuit discovery explores how these configurations were arrived at and provides a toolkit to create absorptive filters to any specification.
Building upon a foundation of basic principles, practitioners discover what a reflectionless filter is, how it operates, methodologies for design and implementation, and how it improves the performance of real-world electronic systems. Work from classical filter topologies to transform even- and odd-mode analysis into a powerful synthesis framework for broadband, reflectionless design. Progress step-by-step through the synthesis of increasingly sophisticated reflectionless filter architectures, applying original techniques introduced in each chapter to discover and implement new designs. Develop practical solutions through worked examples, beginning with lumped-element circuits and extending to transmission-line implementations, all while preserving perfect input match. Apply the same principles to the design of reflectionless multiplexers, and translate these methods into real-world systems that require improved stability, performance, and efficiency.
With over 250 equations, 250 insightful illustrations, and 45 tables of invaluable application data, this revised edition provides systems and applications engineers a blueprint for cutting-edge circuit solutions that enable wider-band, more stable, and higher-performance RF systems with fewer design iterations.
Table Of Contents
Chapter 1 Passive Microwave Networks
1.1 Two-Port Networks
1.2 Properties of Immittance and Transfer Functions
1.3 Duality
1.4 Filter Transfer Functions
1.5 Conventional Filter Topologies
1.6 Even- and Odd-Mode Analysis
1.7 Transmission Lines
1.8 Reflection Versus Absorption
Chapter 2 Classical Absorptive Filters
2.1 Diplexers
2.2 Directional Filters
2.3 Hybrid-Coupled Filters
2.4 Empirical Approaches
2.5 Constant-Resistance Networks
2.6 Summary
Chapter 3 Foundations of Reflectionless Filters
3.1 Basic Filter Derivation
3.2 Normalized Element Scaling
3.3 Nonuniqueness
3.4 Auxiliary Components
3.5 Frequency Transformations
3.6 Design Example
3.7 Balanced Differential Forms
3.8 The Problem of Discovering New Topologies
Chapter 4 Subnetwork Expansion
4.1 The Reflectionless Filter as a Diplexer
4.2 Subnetworks
4.3 Compound Reflectionless Filters
4.4 Combination Filters
4.5 Cascade Combinations
4.6 Summary
Chapter 5 Duality Reduction
5.1 Dual Reflectionless Filter Network
5.2 Compound Filter Reduction
5.3 Layout Considerations
Chapter 6 Generalized Reflectionless Filters
6.1 Reevaluation of Prior Topologies
6.2 Generalized Compound Topologies
6.3 Chebyshev Type II Reflectionless Filters
6.4 Expanded Topology for Larger Ripple Factor
6.5 Dual Topology
6.6 High-Pass and Band-Pass Filters
6.7 Chebyshev Type I Reflectionless Filters
6.8 Zolotarev Reflectionless Filters
6.9 Delta-Wye Transformation
6.10 Component Sensitivity
Chapter 7 Negative Element Mitigation
7.1 Stability and Passivity
7.2 Active Equivalent Networks
7.3 Passive Equivalent Networks
7.4 Deep-Rejection Chebyshev Type II Filters
7.5 Even-Order Reflectionless Filters
7.6 Fully Parametric Reflectionless Filter Topology
7.7 Reflectionless Butterworth Filters
7.8 Conclusion
Chapter 8 Coupled Ladder Synthesis
8.1 Transformerless Networks
8.2 Arbitrary Reference Ladders
8.3 Elliptic Reflectionless Filters
8.4 Economy Ladder Bridge
Chapter 9 Transmission-Line Reflectionless Filters
9.1 Derivation
9.2 Alternative Forms
9.3 Design Example
Chapter 10 Reflectionless Multiplexers
10.1 Diplexers
10.2 Triplexers
10.2.1 Design Example
10.3 Multiplexers
10.4 High-Rejection Multiplexers
10.5 Contiguous Channels
Chapter 11 Applications of Reflectionless Filters
11.1 With Up-/Downconverters
11.2 With Multiplier Chains
11.3 With Broadband Amplifiers
11.4 With Analog-to-Digital Converters
11.5 Distributed Filtering
11.6 With Conventional Filters
11.7 Slope Equalizers
11.8 Time-Domain Applications
Chapter 12 Tools for Advanced Topology Creation
12.1 Split Symmetry-Plane Representation
12.2 Unusual Forms of Symmetry
Chapter 13 On-Chip Design
13.1 Monolithic Fabrication
13.2 Preferred Topologies
13.3 Model Parameter Extraction
13.4 Conclusion
Appendix A Delta-Wye Transformations
Appendix B Zolotarev Filter Prototypes
Appendix C Transmission-Line Identities
C.1 Two-Port Identities
C.2 Three-Port Identities
C.3 Four-Port Identities
References
About the Author
Index