Theory and synthesis of linear passive time-invariant networks

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 ex...

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Bibliographic Details
Main Author Youla, Dante C.
Format Electronic eBook
LanguageEnglish
Published Cambridge : Cambridge University Press, [2015]
Subjects
Matrices.
Electric network analysis > Mathematics.
Impedance matching.
Sylvester equations.
Riccati equation.
elektronické knihy
electronic books
Online AccessFull text
ISBN9781523101870
1523101873
9781316403105
1316403106
1316427021
9781316427026
9781107122864
1107122864
Physical Description1 online resource (viii, 643 pages)

Cover

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100 1 |a Youla, Dante C. 
245 1 0 |a Theory and synthesis of linear passive time-invariant networks /  |c Dante C. Youla, New York University Polytechnic School of Engineering. 
264 1 |a Cambridge :  |b Cambridge University Press,  |c [2015] 
300 |a 1 online resource (viii, 643 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references and index. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a 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. 
505 0 |a 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. 
590 |a Knovel  |b Knovel (All titles) 
650 0 |a Matrices. 
650 0 |a Electric network analysis  |x Mathematics. 
650 0 |a Impedance matching. 
650 0 |a Sylvester equations. 
650 0 |a Riccati equation. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
776 0 8 |i Print version:  |a Youla, Dante C.  |t Theory and synthesis of linear passive time-invariant networks.  |d Cambridge : Cambridge University Press, [2015]  |z 9781107122864  |w (DLC) 2015020039  |w (OCoLC)909777340 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://app.knovel.com/hotlink/toc/id:kpTSLPTIN1/theory-and-synthesis?kpromoter=marc  |y Full text 

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