Linear Network Analysis

✍ Scribed by Sundaram Seshu; Norman Balabanian

• Publisher: Wiley
• Year: 1959
• Tongue: English
• Leaves: 601
• Category: Library

✦ Synopsis

1. Fundamental Concepts
   1.1 Current and Voltage References
   1.2 Kirchhoff's Laws
   1.3 Network Elements
   1.4 Power and Energy

2. Loop and Node Systems of Equations
   2.1 Loop Equations
   2.2 Node Equations
   2.3 Solution by Laplace Transforms

3. Matrix Algebra and Elementary Topology
   3.1 Definitions
   3.2 Linear Algebraic Equations
   3.3 Elementary Topology

4. General Network Analysis
   4.1 Loop Currents and General Loop Equations
   4.2 Node Voltages and General Node Equations
   4.3 Initial Conditions
   4.4 The Impulse Function
   4.5 Impulse Functions and Initial Values
   4.6 Duality
   4.7 Network Functions, Driving Point and Transfer

5. Network Theorems and Steady-State Response
   5.1 The Principle of Superposition
   5.2 The Thévenin and Norton Theorems
   5.3 The Reciprocity Theorem
   5.4 The Sinusoidal Steady State
   5.5 Steady-State Response to General Periodic Excitation

6. Integral Solutions
   6.1 The Convolution Theorem
   6.2 The Impulse Response
   6.3 The Step Response and the DuHamel Integral
   6.4 The Principle of Superposition
   6.5 Representations of Network Response
   6.6 Relationships Between Frequency and Time Response

7. Representations of Network Functions
   7.1 Representation by Poles and Zeros
   7.2 Frequency Response Functions
   7.3 Bode Diagrams
   7.4 Minimum-phase and Nonminimum-phase Transfer Functions
   7.5 Complex Loci
   7.6 Calculation of Network Function from a Given Magnitude
   7.7 Calculation of Network Function from a Given Angle
   7.8 Calculation of Network Function from a Given Real Part
   7.9 Integral Relationships Between Real and Imaginary Parts
   7.10 The Potential Analog

8. Two-Port Networks
   8.1 Two-Port Parameters and Their Interrelations
   8.2 The Scattering Parameters
   8.3 Equivalence of Two-Ports
   8.4 Transformer Equivalents
   8.5 Interconnection of Two-Port Networks
   8.6 Certain Simple Reciprocal Two-Ports

9. Analytic Properties of Network Functions
   9.1 Preliminary
   9.2 Quadratic Forms
   9.3 Energy Functions
   9.4 Positive Real Functions
   9.5 Reactance Functions
   9.6 RC and RL Impedances
   9.7 Open- and Short-Circuit Functions
   9.8 Topological Formulas for Network Functions

10. Feedback and Related Topics
    10.1 Block Diagrams and Elementary Concepts of Feedback
    10.2 Signal-Flow Graphs
    10.3 Feedback and Stability—The Nyquist Criterion
    10.4 Root Locus

11. Image Parameters and Filter Theory
    11.1 Image Parameters
    11.2 Image Parameters of Lossless Networks
    11.3 Image Parameter Filter Theory
    11.4 Component Filter Sections
    11.5 Determination of the Image Parameters
    11.6 Frequency Transformations

Appendix
A.1 Analytic Functions
A.2 Mapping
A.3 Integration
A.4 Infinite Series
A.5 Multi-Valued Functions
A.6 The Residue Theorem
A.7 Partial-Fraction Expansions
A.8 Analytic Continuation
A.9 Laplace Transforms: Definition and Convergence Properties
A.10 Analytic Properties of the Laplace Transform
A.11 Operations on the Determining and Generating Functions
A.12 The Complex Inversion Integral