Asymptotic Waveform Evaluation And Moment Matching for Interconnect Analysis

The intense drive for signal integrity has been at the forefront ofrapid and new developments in CAD algorithms. Thousands ofengineers, intent on achieving the best design possible, use SPICE on a daily basis for analog simulation and general circuit analysis. But the strained demand for high data s...

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Bibliographic Details
Main Authors: Chiprout, Eli, Nakhla, Michel S. (Author)
Format: eBook
Language:English
Published: New York, NY Springer US 1994, 1994
Edition:1st ed. 1994
Series:The Springer International Series in Engineering and Computer Science
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 1.1 Motivation
  • 1.2 Overview
  • 1.3 Notation
  • 2 Asymptotic Waveform Evaluation
  • 2.1 State space formulation
  • 2.2 Generating an approximate response
  • 2.3 MNA formulation
  • 2.4 Examples
  • 3 Transmission Lines
  • 3.1 Linear subnetwork formulation
  • 3.2 Moments of distributed networks
  • 3.3 Uniform lossy coupled transmission lines
  • 3.4 Nonuniform transmission lines
  • 3.5 Miscellaneous combinations
  • 4 Padé Approximations
  • 4.1 The rational approximation
  • 4.2 Accuracy
  • 4.3 Laurent expansion about o0
  • 5 Accuracy Improvements
  • 5.1 Higher precision programming
  • 5.2 Moment scaling
  • 5.3 Padæ table analysis
  • 5.4 Optimal pole selection
  • 5.5 Partitioning
  • 5.6 Method of characteristics
  • 5.7 Frequency shifting
  • 6 Complex Frequency Hopping
  • 6.1 Complex expansions
  • 6.2 Pole convergence
  • 6.3 Pole selection
  • 6.4 Search strategy
  • 6.5 Extra CPU requirements
  • 7 Nonlinear Analysis
  • 7.1 Notation
  • 7.2 Differential equations (SPICE) approach
  • 7.3 Recursive convolution approach
  • 8 Sensitivity Analysis
  • 8.1 Pole and zero sensitivity
  • 8.2 Coefficient sensitivity
  • 8.3 Moment sensitivity: lumped elements
  • 8.4 Moment sensitivity: distributed elements
  • 8.5 Sensitivity of multi-conductor transmission line stamp
  • 9 Other Applications
  • 9.1 PEEC simulation
  • 9.2 3-D RC mesh analysis
  • 9.3 Symbolic analysis
  • A Appendix
  • A.1 Transmission line equations