ROBOTICS & AUTOMATION
Empowering Progress
Up to 25% off Essentials Robotics and Automation titles
Theory and Design of Broadband Matching Networks
Applied Electricity and Electronics
- 1st Edition - January 1, 1976
- Author: Wai-Kai Chen
- Editor: P. Hammond
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 1 - 2 7 0 2 - 6
- Hardback ISBN:9 7 8 - 0 - 0 8 - 0 1 9 7 0 2 - 9
- eBook ISBN:9 7 8 - 1 - 4 8 3 1 - 5 9 4 4 - 7
Theory and Design of Broadband Matching Networks centers on the network theory and its applications to the design of broadband matching networks and amplifiers. Organized into… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteTheory and Design of Broadband Matching Networks centers on the network theory and its applications to the design of broadband matching networks and amplifiers. Organized into five chapters, this book begins with a description of the foundation of network theory. Chapter 2 gives a fairly complete exposition of the scattering matrix associated with an n-port network. Chapter 3 considers the approximation problem along with a discussion of the approximating functions. Chapter 4 explains the Youla's theory of broadband matching by illustrating every phase of the theory with fully worked out examples. The extension of Youla's theory to active load impedance is taken up in Chapter 5. This book will be useful as a reference for practicing engineers who wish to learn how the modern network theory can be applied to the design of many practical circuits.
Preface
Chapter 1. Foundations of Network Theory
1. Basic Network Postulates
1.1. Real-Time Function Postulate
1.2. Time-Invariance Postulate
1.3. Linearity Postulate
1.4. Passivity Postulate
1.5. Causality Postulate
1.6. Reciprocity Postulate
2. Matrix Characterizations of n-Port Networks
2.1. The Impedance Matrix
2.2. The Admittance Matrix
2.3. The Hybrid Matrix
2.4. The Indefinite-Admittance Matrix
3. Power Gains
4. Hermitian Forms
5. The Positive-Real Matrix
6. Frequency-Domain Conditions for Passivity
7. Conclusions
Problems
References
Chapter 2. The Scattering Matrix
1. A Brief Review of the Transmission-Line Theory
2. The Scattering Parameters of a One-Port Network
2.1. Basis-Dependent Reflection Coefficients
2.2. Basis-Independent Reflection Coefficient
2.3. The Factorization of the Para-Hermitian Part of z(s)
2.4. Alternative Representation of the Basis-Independent Reflection Coefficient
2.5. The Normalized Reflection Coefficient and Passivity
3. The Scattering Matrix of an n-Port Network
3.1. Basis-Dependent Scattering Matrices
3.2. Basis-Independent Scattering Matrix
3.3. The Scattering Matrices and the Augmented n-Port Networks
3.4. Alternative Representation of the Basis-Independent Scattering Matrix
3.5. Physical Interpretation of the Normalized Scattering Parameters
3.6. The Normalized Scattering Matrix and Passivity
3.7. The Normalized Scattering Parameters of a Lossless Two-Port Network
4. The Bounded-Real Scattering Matrix
5. Interconnection of Multi-Port Networks
6. Conclusions
Problems
References
Chapter 3. Approximation and Ladder Realization
1. The Butterworth Response
1.1. Poles of the Butterworth Function
1.2. Coefficients of the Butterworth Polynomials
1.3. Butterworth Networks
1.4. Butterworth LC Ladder Networks
2. The Chebyshev Response
2.1. Chebyshev Polynomials
2.2. Equiripple Characteristic
2.3. Poles of the Chebyshev Function
2.4. Coefficients of the Polynomial p(y)
2.5. Chebyshev Networks
2.6. Chebyshev LC Ladder Networks
3. Elliptic Functions
3.1. Jacobian Elliptic Functions
3.2. Jacobi's Imaginary Transformations
3.3. Periods of Elliptic Functions
3.4. Poles and Zeros of the Jacobian Elliptic Functions
3.5. Addition Theorems and Complex Arguments
4. The Elliptic Response
4.1. The Characteristic Function Fn(ω))
4.2. Equiripple Characteristic in Passband and Stopband
4.3. Poles and Zeros of Elliptic Response
4.4. Elliptic Networks
5. Frequency Transformations
5.1. Transformation to High-Pass
5.2. Transformation to Band-Pass
5.3. Transformation to Band-Elimination
6. Conclusions
Problems
References
Chapter 4. Theory of Broadband Matching: The Passive Load
1. The Bode-Fano-Youla Broadband Matching Problem
2. Youla's Theory of Broadband Matching: Preliminary Considerations
3. Basic Constraints on ρ(s)
4. Bode's Parallel RC Load
4.1. Butterworth Transducer Power-Gain Characteristic
4.2. Chebyshev Transducer Power-Gain Characteristic
4.3. Elliptic Transducer Power-Gain Characteristic
4.4. Equalizer Back-End Impedance
5. Proof of Necessity of the Basic Constraints on ρ(s)
6. Proof of Sufficiency of the Basic Constraints on ρ(s)
7. Design Procedure for the Equalizers
8. Darlington Type-C Load
8.1. Butterworth Transducer Power-Gain Characteristic
8.2. Chebyshev Transducer Power-Gain Characteristic
8.3. Elliptic Transducer Power-Gain Characteristic
8.4. Equalizer Back-End Impedance
9. Constant Transducer Power Gain
10. Conclusions
Problems
References
Chapter 5. Theory of Broadband Matching: The Active Load
1. Special Class of Active Impedances
2. General Configuration of the Negative-Resistance Amplifiers
3. Nonreciprocal Amplifiers
3.1. Design Considerations for Nα
3.2. Design Considerations for Nß
3.3. Design Considerations for Nc
3.4. Illustrative Examples
3.5. Extension and Stability
4. Transmission-Power Amplifiers
4.1. Tunnel Diode in Shunt with the Load
4.2. Tunnel Diode in Shunt with the Generator
4.3. Stability
4.4. Sensitivity
5. Reciprocal Amplifiers
5.1. General Gain-Bandwidth Limitations
5.2. Cascade Connection
6. Amplifiers Using More than One Active Impedance
6.1. Nonreciprocal Amplifiers
6.2. Reciprocal Amplifiers
7. Conclusions
Problems
References
Appendices
Appendix A. The Butterworth Response
Appendix B. The Chebyshev Response
Appendix C. The Elliptic Response
Symbol Index
Subject Index
- No. of pages: 448
- Language: English
- Edition: 1
- Published: January 1, 1976
- Imprint: Pergamon
- Paperback ISBN: 9781483127026
- Hardback ISBN: 9780080197029
- eBook ISBN: 9781483159447
PH
P. Hammond
Affiliations and expertise
University of SouthamptonRead Theory and Design of Broadband Matching Networks on ScienceDirect