UID:
almafu_9960117346202883
Format:
1 online resource (viii, 643 pages) :
,
digital, PDF file(s).
ISBN:
1-316-42391-3
,
1-316-42702-1
,
1-5231-0187-3
,
1-316-40310-6
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 01 Feb 2016).
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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.
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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.
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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.
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English
Additional Edition:
ISBN 1-107-12286-4
Language:
English
URL:
https://doi.org/10.1017/CBO9781316403105
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