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Digital transmission lines :computer modelling and analysis


Digital transmission lines :computer modelling and analysis Cover


Synopses & Reviews

Publisher Comments:

Digital Transmission Lines: Computer Modeling and Analysis adopts a unique approach which offers the reader an intuitive understanding of the causes and nature of crosstalk as well as the conceptual and mathematical tools to control it. It begins with an introduction to the transmission line equations, progresses to the solution for the signals on networks of multi-wire lines in layered dielectric media, and further develops a method to include the skin effect in the propagation algorithm. All of the algorithms developed are illustrated in computer codes (in the C programming language). The codes are discussed in the book and included on a compact disk (CD-ROM).

The text's most significant feature is its method of simulating crosstalk between closely spaced traces on a circuit board and providing design tools for its control. The author explains methods that he has successfully used to simulate multi-wire transmission line signal propagation; provides explanations that enhance students' understanding of propagation and crosstalk; and uses mathematical algorithms for their numerical evaluation. He also describes design methods for reducing crosstalk between traces on a multi-layered circuit board.

Numerous exercises, hints, problems, and computer code illustrate each of the algorithms developed and encourage the reader to become actively involved. An accompanying CD-ROM contains all source code from the text as well as executable demo versions of commercial CAD programs that illustrate use of the principles in the book. Ideal for graduate courses in electrical engineering and computer science, Digital Transmission Lines: Computer Modeling and Analysis will also serve as an indispensable reference for software engineers, electronic design engineers, and electromagnetic research professionals.


Includes bibliographical references (p. 334-335) and index.

Table of Contents

Part I. Transmission Line Fundamental

1. Introduction

1.1. Fundamental Approach

1.2. Overview

1.3. The Transmission Line Paritial Differential Equations (PDEs)

2. Single-Wave Lines

2.1. The Wave Equation

2.2. The Lossless Line

2.3. Termination in the Characteristic Impedance z0

2.4. Termination with a Resistive Load

2.5. Time Stepping Transmission Line Solutions

2.6. Numerical Algorithms — Propagation

2.7. Lossy Lines

2.8. Small Backward Signal Approximation

2.9. Numierical Algorithm — Lossy Propagation

3. Solutions of Resistive Networks

3.1. Kirchhoff's Laws

3.2. Voltage and Current Sources

3.3. Thevenin Equivalent Circuits

3.4. Norton Equivalent Circuits

3.5. General Network Solutions Using Norton Equivalent Circuits

4. Boundary Conditions — Line End Equivalent Circuits

4.1. Thevenin Equivalent Circuit for a Transmission Line

4.2. Norton Equivalent Circuit for a Transmission Line

4.3. Joining Two or More Transmission Lines Together

5. Multi-Wire Lines — Single Propagation Speed

5.1. Propagation

5.2. Boundary Conditions — Line End Equivalent Circuits

5.3. Termination Crosstalk Between Traces

Part II. Circuit Solutions at Line Termination

6. Networks with Reactive and Non-linear Elements

6.1. Networks of Resistors

6.2. Synthesis of a Symmetric Resistive Circuit Matrix

6.3. Approximate Norton Equivalent for a Two-Terminal Network

6.4. Norton Equivalent for a Capacitor

6.5. Norton Equivalent for an Inductor

6.6. Norton Equivalent for an AC Termination

6.7. Performance of an AC Termination

6.8. Non-Linear Two-Terminal Circuit Elements

7. Simultaneous Transmission Line Network Solutions

7.1. Multi-Wire Line Terminated in a Network

7.2. Network of Multi-Wire Lines and Other Norton Circuits

8. Computer Algorithm for General Network Solutions

8.1. General Structure of the Code

8.2. Data-Input — Network Definition

8.3. Initializing the Transmission Lines

8.4. Initializing the Networks

8.5. Open Output Files

8.6. Time-Stepping Loop

8.7. Closing the Output Files

9. Examples of Solutions Using Computer Code 8-1

9.1. Single-Wire Line — Various Terminations

9.2. Three-Wire Line — Control of Crosstalk

9.3. Branched Traces

Part III. Propagation in Layered Media

10. Modal Analysis in Layered Media

10.1. The Vector Wave Equations for Lossless Lines

10.2. Example of Multi-Speed Line

10.3. Propagation Modes of Multi-Speed Lines

10.4. Diagonalization of a Matrix

11. Characteristic Impedance of Multi-Speed Lines

11.1. Impedance Matrix for a Single Mode

11.2. Impedance Matrix, Combined Modes

11.3. Impedance Matrix in the Modal Basis

12. Transport on Lossy Multi-Speed Lines

12.1. Transmission Line Equations in the Modal Basis

12.2. Transport Equations in the Modal Basis

12.3. Transport Difference Approximation in the Modal Basis

13. Small Coupling Approximation of Propagation Crosstalk

13.1. Definition of the Primary Signal

13.2. The Secondary Signal, An Approximation of Propagation Crosstalk

13.3. Propagation Crosstalk of Impulse Function

14. Network Solutions Using Modal Analysis

14.1. Separating and Recombining the Propagation Modes

14.2. Solution of Networks with Multi-Speed Lines

Part IV. Transmission Line Parameter Determination

15. Introduction to Transmission Line Parameter Determination

16. Capacitance and Inductance in a Homogeneous Medium

16.1. Single Trace Capacitance and Inductance Simulation

16.2. Multi-Trace Capacitance and Inductance Simulation

17. Electric Fields in a Layered Circuit Board

17.1. Boundary Conditions at a Dielectric-Dielectric Boundary

17.2. Equivalent Charge at Dielectric-Dielectric Boundaries

17.3. Dielectrics Adjacent to Trace Surfaces

17.4. Equivalent Charges Induced by Physical Charges

17.5. Dielectric Boundary Intersecting a Conductor Surface

18. Calculation of Capacitance in a Layered Media

19. Capacitance and Inductance Between Two Ground Planes

19.1. Potential Due to a Uniformly Charged Segment

19.2. Electric Field Due to Segment Parallel to the X Axis

19.3. Electric Field Due to Segment Parallel to the Y Axis

19.4. Calculating the Capacitance and Inductance Matrices

20. Physics of the Skin Effect

20.1. Diffusion in a Slab

20.2. Classical Skin Effect

21. Plane Geometry Skin Effect Simulation

21.1. D.C. Current Density and Magnetic Field

21.2. Diffusion Equation Solutions

21.3. Equivalent Circuit for Two-Sided Diffusion

21.4. Diffusion on One Side of a Slab

21.5. Algorithm for Diffusive Voltage Drop

21.6. Diffusive Response to a Current Ramp

21.7. Norton and Thevenin Equivalents for Diffusion

21.8. Convergence of the Slab-Diffusion Series

22. Cylindrical Geometry Skin Effect Simulation

22.1. Field Partial Differential Equations

22.2. D.C. Current Density and Magnetic Field

22.3. Diffusion Equation Solutions

22.4. Equivalent Circuit for Diffusive Cylinder

22.5. Internal Inductance of a Cylindrical Conductor

22.6. Norton Equivalent Circuit for a Diffusive Cylinder

23. Propagation with Skin Effect

23.1. Distributed Voltage Source in the Transmission Line Equations

23.2. Lossy Propagation with Diffusion

23.3. Modified Circular Array for Propagation with Diffusion

23.4. Approximations Using Lumped Element Diffusion Model

Appendix A. Equivlence of Time-Domain and Frequency Domain Methods

Appendix B. Effect of Resistance in Reference Conductor

Solutions of Problems


Product Details

Granzow, Kenneth D
Oxford University Press, USA
Granzow, Kenneth D.
null, Kenneth D.
Oxford ;
Computer Engineering
Engineering / Electrical
Technology | Electrical
Engineering and Technology | Electrical and Computer Engineering
Digital electronics -- Computer simulation.
Multiconductor transmission lines.
Electronics - Circuits - General
Data Transmission Systems - General
Electronics - Digital
Engineering & Technology | Electrical & Computer Engineering
Electricity-General Electronics
Series Volume:
Publication Date:
Grade Level:
College/higher education:
104 line illus.
25 cm. +=

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