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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Youla, Dante C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, [2015]
Temas:
Matrices.
Electric network analysis > Mathematics.
Impedance matching.
Sylvester equations.
Riccati equation.
Réseaux électriques (Circuits) > Analyse > Mathématiques.
Adaptation d'impédance.
Équations de Sylvester.
Équation de Riccati.
Electric network analysis > Mathematics
Impedance matching
Matrices
Riccati equation
Sylvester equations
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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