Digital Transmission Lines

Digital Transmission Lines : Computer Modelling and Analysis

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Description

The most important contribution of this book is its method of simulating crosstalk and providing design tools for its control between closely spaced traces on a circuit board. The approach is unique to this book. It begins with an introduction to the transmission line equations and progresss to the solution for the signals on networks of multi-wire lined in layered dielectric media. It further develops a method (and supplies computer code) to include the skin effect in the propagation algorithm. All solution algorithms for digital signals are time stepping algorithms that lend themselves to intuitive understanding. The book is in five parts: I. Transmission Line Fundamentals, II. Circuit Solutions at Line Terminations, III. Propagation in Layered Media, IV. Transmission Line Parameter Determination, and V. Simulation of Skin Effect. Methods are explained that the author has successfully used to simulate multi-wire transmission line signal propagation. A contemporary need for these methods exists among those who design or simulate transmission lines that carry digital signals.Such engineers must have both an understanding of the mechanisms of propagation and crosstalk and a means of quantitatively evaluating them. The book provides expanations to enhance understanding of signal propagation and crosstalk amd mathematical algorithms for their numerical evaluation. It also provides design methods for reducing crosstalk between traces on a multi-layered circuit board. Numerous exercises, hint, problems, and computer codes (in the C language) all serve to solicit reader involvement. An accompanying CD-ROM contains all source codes from the text as well as executable demo versions of commercial CAD codesv that illustrate use of the principles in the book. Intented for senior and/or graduate level students in electrical engineering or computer science, this book is suitable for software engineers, electronic design engineers, and electromagnetic research professionals in the field.show more

Product details

  • Mixed media product | 368 pages
  • 193 x 238.8 x 22.9mm | 816.48g
  • Oxford University Press Inc
  • New York, United States
  • English
  • New.
  • numerous line figures, plus CD
  • 019511292X
  • 9780195112924

Table of contents

Part I. Transmission Line Fundamental ; Chapter 1: Introduction ; 1.1 Fundamental Approach ; 1.2 Overview ; 1.3 The Transmission Line Partial Differentiual Equations (PDE's) ; 1.3.1 The Quasi-Static Approximation ; 1.3.2 Solution Methods for the Transmission Line Equations ; Chapter 2: Single-Wire Lines ; 2.1 The Wave Equation ; 2.2 Lossless Line ; 2.3 Termination in the Characteristic Impedance zo ; 2.4 Termination with a Resistive Load ; 2.5 Time stepping Transmission line solutions ; 2.6 Numerical Algorithm - Propagation ; 2.7 Lossy Lines ; 2.8 Small Backward Signal Approximation ; 2.9 Numerical Algorithms - Lossy Propagation ; Chapter 3: Solutions of Resistive Networks ; 3.1 Kirchoff'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 ; Chapter 4: Boundary Conditions - Line End Equivalent Circuits ; 4.1 Thevenin Equivalent Circuits for a Transmission Line ; 4.2 Norton Equivalent Circuits for a Transmission Line ; 4.3 Joining Two or more Transmission Lines together ; Chapter 5: Multi-Wire Lines - Single Propagation Speed ; 5.1 Propagation ; 5.1.1 Propagation Modes ; 5.1.2 Separation into Forward and Backward Signals ; 5.1.3 Lossless Line ; 5.1.4 Lossy Lines ; 5.1.5 Small Coupling Approximation of Propagation Crosstalk ; 5.1.6 Numerical Algorithms - Lossy Propagation with Crosstalk ; 5.2 Boudnary Conditions - Line End Equivalent Circuits ; 5.2.1 Thevenin Equivalent Circuit ; 5.2.3 Norton Equivalent Circuit ; 5.2.3 Reflection at a resistive termination ; 5.3 Termination Crosstalk Between Traces ; Part II: Circuit Solutions at Line Terminations ; Chapter 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 an 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 ; Chapter 7: Simultaneous Transmission Line Networeks Solutions ; 7.1 Multi-Wire Line Terminated in a network ; 7.2 Network of multi-wire lines and other Norton circuits ; Chapter 8: Computer Algorithms 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 ; 8.6.1 Loading the Circuit Matrix G and Column Vector I ; 8.6.2 Solution of the network equations ; 8.6.3 Output Node voltages ; 8.6.4 Update Isc for Capacitors, Inductors and AC Termination ; 8.6.5 Update Transmission Lines ; 8.7 Closing the Output files ; Chapter 9: Examples of Solutions Using Computer Code 8-1 ; 9.1 Single-Wire Line - Various Terminations ; 9.1.1 Output for the Line with matching Load resistor ; 9.1.2 Output for the Line with a Non-Linear Load resistor ; 9.1.3 Line with AC termination ; 9.2 Three-Wire Line - Control of Crosstalk ; 9.3 Branched Traces ; Part III. Propagation in Layered Media ; Chapter 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 ; Chapter 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 ; Chapter 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 ; Chapter 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 ; Chapter 14: Networks Solutions Using Modal Analysis ; 14.1 Separating and Recombining the Propagation Modes ; 14.2 Solution of Networks with Multi-Speed Lines ; 14.2.1 Lossless Multi-Speed Lines ; 14.2.2 Lossy Multi-Speed Lines ; Part IV: Transmission Line Parameter Determination ; Chapter 15: Introduction to Transmission Line Parameter Determination ; Chapter 16: Capacitance and Inductance in a Homogeneous Medium ; 16.1 Single Trace Capacitance and Inductance Simulation ; 16.1.1 Definition of Capacitance ; 16.1.2 The Capacitance of a single trace over a ground plane ; 16.1.3 Integral Equation for the charge ; 16.1.4 Potential and Electric Field of a Uniformly Charged Segment ; 16.1.5 Charged Segment near a Conducting Plane ; 16.1.6 Inductance Simulation ; 16.1.7 Calculated Results and their Accuracy ; 16.2 Multi-Trace Capacitance and Inductance Simulation ; 16.2.1 Definition of Capacitance matrix ; 16.2.2 Capacitance matrix Simulation ; 16.2.3 Inductance Simulation ; Chapter 17: Electric Fields in Layered Circuit Board ; 17.1 Boundary Charge 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 Conducting Surface ; Chapter 18: Calculation of Capacitance in a Layered Media ; Chapter 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 ; Part V: Simulation of Skin effect ; Chapter 20: Physics of the Skin Effect ; 20.1 Diffusion in a Slab ; 20.2 Classical Skin Effect ; Chapter 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 ; Chapter 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 ; Chapter 23: Propagation with Skin effect ; 23.1 Distributed Voltage Source in the Transmission Line Equations ; 23.2 Lossy propagation with Diffusion ; 23.4 Modified Circular Array for propagation with Diffusion ; 23.4 Approximations Using Lumped Element Diffusion Model ; Appendices ; Appendix A: Equivalence of Time-Domain and Frequency Domain Methods ; Appendix B: Effect of Resistance in Reference Conductor ; Solutions of Problems ; Referencesshow more