Theory and synthesis of linear passive time-invariant networks / Dante C. Youla, New York University Polytechnic School of Engineering.

Format:

Book

Author/Creator:

Youla, Dante C., author.

Language:

English

Subjects (All):

Matrices.

Electric network analysis--Mathematics.

Electric network analysis.

Impedance matching.

Sylvester equations.

Riccati equation.

Physical Description:

1 online resource (viii, 643 pages) : digital, PDF file(s).

Edition:

First edition.

Other Title:

Theory & Synthesis of Linear Passive Time-Invariant Networks

Place of Publication:

Cambridge : Cambridge University Press, 2015.

Language Note:

English

Summary:

Exploring the overlap of mathematics and engineering network synthesis, this book presents a rigorous treatment of the key principles underpinning linear lumped passive time-invariant networks. Based around a series of lectures given by the author, this thoughtfully written book draws on his wide experience in the field, carefully revealing the essential mathematical structure of network synthesis problems. Topics covered include passive n-ports, broadband matching, the design of passive multiplexes and two-state passive devices. It also includes material not usually found in existing texts, such as the theoretical behavior of transverse electromagnetic (TEM) coupled transmission lines. Introducing fundamental principles in a formal theorem-proof style, illustrated by worked examples, this book is an invaluable resource for graduate students studying linear networks and circuit design, academic researchers, and professional circuit engineers.

Contents:

Cover

Half-title

Title page

Copyright information

Table of contents

Preface

1 Auxiliary results

1.1 Introduction

1.2 The rank of a matrix product

1.3 Compound matrices and Jacobi's theorem

1.4 Singular value decomposition

1.5 Joint diagonalization of hermitian matrices

1.6 Sylvester's law of inertia

1.7 Row and column-reduced polynomial matrices

1.8 Some key results in the theory of equations

1.9 Optimality and the classical Riccati equation[sup(18)]

1.10 Appendix

1.11 References

2 Transforms and passivity

2.1 Description

2.2 Transforms

2.3 Passive 1-ports

2.4 Properties of positive-real functions

2.5 References

3 Some classical passive 1-port synthesis

3.1 Preliminary mathematical background

3.2 Brune synthesis

3.3 Transformerless Bott-Duffin synthesis

3.4 A broader proof of Corollary 1 of Theorem 3

3.5 References

4 Tellegen's Theorem and 2-element 1-ports

4.1 The RCLM and Tellegen's Theorem

4.2 Lossless passive 1-ports

4.3 Scaling and other 2-element 1-ports

4.4 Magnetic coupling and 2-winding transformers

4.5 References

5 Elements of filters and reactance-ladders

5.1 Fundamentals of insertion-loss filter design

5.2 Reactance-ladders

5.3 Low-pass reactance-ladders

5.4 Concluding remarks

5.5 References

6 Passive n-ports

6.1 Foundations

6.2 Operational significance of S(s)

6.3 The McMillan degree of a rational matrix

6.4 Gyrators and reciprocity

6.5 References

7 Procedures of passive n-port synthesis

7.1 Counting reactances, resistances, and gyrators

7.2 Factorizing parahermitian-positive matrices

7.3 n-port synthesis via resistance extraction

7.4 Paraunitary matrices

7.5 Non-tight embeddings

7.6 n-port synthesis via reactance extraction

7.7 Numerical considerations.

7.8 n-port synthesis via gyrator extraction

7.9 Auxiliary techniques

7.10 References

8 Basic design of reactance 2-ports

8.1 The Belevitch description of a reactance 2-port

8.2 Darlington equivalents

8.3 Symmetric and antimetric filters

8.4 References

9 Cascade synthesis of passive 1-ports

9.1 Transmission zeros of a p.r. function

9.2 On the extraction of transmission zeros

9.3 Designing with the indices of z(s)

9.4 Overview

9.5 References

10 A theory of broadband matching

10.1 Fundamentals

10.2 Single broadband matching

10.3 Double broadband matching

10.4 Numerical interlude

10.5 The restrictions in integral form

10.6 References

11 Stability and complex normalization

11.1 The role of stability

11.2 Stability and steady-state

11.3 Complex normalization

11.4 Measuring the elements of S(jω)

11.5 The concept of exchangeable power

11.6 References

12 Design of passive multiplexers

12.1 The standard configuration

12.2 Standard magnitude and phase multiplexers

12.3 The general case

12.4 Reactance-ladder diplexers

12.5 Optimal reactance-ladder diplexer design

12.6 Concluding remarks

12.7 References

13 Selected topics

13.1 All-s normalization

13.2 Special results

13.3 Bisection of symmetric and antimetric filters

13.4 2-port synthesis from partial data

13.5 Compatible impedances

13.6 The Garloff-Wagner (GW) Theorem

13.7 Addenda

13.8 References

14 Multiconductor TEM transmission lines

14.1 Introduction[sup(1)]

14.2 Analytical formulation[sup(2)]

14.3 The telegrapher's equations

14.4 The TEM line transducer

14.5 Decoupling the telegrapher's equations

14.6 Transient performance

14.7 Appendix

14.8 References

15 The ideal TEM 2-port

15.1 Preliminaries.

15.2 Commensurate 2-port ideal TEM-line synthesis

15.3 Design of TEM-line transformers and filters

15.4 The quest for optimal power gains

15.5 Key properties of Tchebycheff polynomials

15.6 The LLN-ideal TEM-line τ-cascade

15.7 Appendix

15.8 References

16 Single frequency n-port geometry

16.1 Introduction

16.2 n-port tuning via 2n-port embedding

16.3 Geometry of the cross-ratio matrix

16.4 Canonic forms

16.5 Invariants of noisy linear n-ports

16.6 Overview

16.7 Appendix

16.8 References

17 Immittances of n-terminal networks

17.1 Introduction

17.2 Analysis

17.3 Direct admittance measurement of Y

17.4 The indefinite loop impedance matrix

17.5 References

18 Two-state passive devices

18.1 Introduction

18.2 Preliminaries

18.3 Analysis, lemmas, and theorems

18.4 Performance

18.5 Appendix: Derivation of (18.110)

18.6 References

Index.

Notes:

Title from publisher's bibliographic system (viewed on 01 Feb 2016).

Includes bibliographical references and index.

ISBN:

1-316-42391-3

1-316-42702-1

1-5231-0187-3

1-316-40310-6

OCLC:

950468943