Lumped and Distributed Passive Networks

Lumped and Distributed Passive Networks

A Generalized and Advanced Viewpoint

1st Edition - January 1, 1969

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  • Author: M. Ronald Wohlers
  • eBook ISBN: 9781483221243

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Lumped and Distributed Passive Networks: A Generalized and Advanced Viewpoint considers the mathematical study of a subset of passive linear operators. This five-chapter focuses on the questions of analysis and representation of such operators and illustrates the results of these analyses by obtaining some of the limitations that are imposed on the performance of passive systems. The first two chapters deal with the structure of general linear passive operators. These chapters specifically look into the theory of distributions, called generalized functions. The third and fourth chapters illustrate the application of passive operator theory to rational (lumped) and irrational (distributed) systems. The fifth chapter discusses some applications of optimization theory to the study of networks.

Table of Contents

  • Preface

    I. Linear Systems


    1.1 The Axioms of Linear System Theory

    1.2 Transform Techniques and the System Function

    1.3 The Network Viewpoint—Some Illustrations

    1.4 Summary

    II. Passive Systems


    2.1 Characterization of Linear, Time-Invariant, Passive Systems

    2.2 Passive Immittance Operators

    2.3 Representations of Bounded-Real and Positive-Real Matrices

    2.4 Some Applications

    2.5 Linear, Time-Varying, Passive Systems

    2.6 Summary

    III. Lumped Networks


    3.1 Realization of Lumped Networks

    3.2 Interpolation with Bounded-Real Functions

    3.3 Some Applications

    3.4 Active Lumped Networks

    3.5 Summary

    IV. Distributed Networks


    4.1 Modal Analysis of Passive Distributed Systems

    4.2 Nonuniform Lossless Transmission Lines

    4.3 Uniform Transmission Line Networks

    4.4 Activity in Distributed Networks

    4.5 Summary

    V. Topics in Optimization Theory and Their Applications in Network Theory


    5.1 Some Topics in Optimization Theory

    5.2 An Example

    5.3 Summary

    Appendix I. A Brief Survey of Distribution Theory

    Appendix II. The Inversion of a Sturm-Liouville Operator

    Appendix III. Research Problems

    Glossary of Symbols



Product details

  • No. of pages: 246
  • Language: English
  • Copyright: © Academic Press 1969
  • Published: January 1, 1969
  • Imprint: Academic Press
  • eBook ISBN: 9781483221243

About the Author

M. Ronald Wohlers

About the Editors

Henry G. Booker

Nicholas Declaris

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