Simulation of dispersive multiconductor transmission lines by fade approximation via the lanczos process

Mustafa Celik, Andreas C. Cangellaris

Research output: Contribution to journalArticlepeer-review

Abstract

A mathematical model for dispersive, multiconductor transmission lines is introduced that makes possible the utilization of the Fade approximation via the Lanczos (PVL) process to the analysis of linear networks that contain transmission line systems. The mathematical model is based on the use of Chebyshev polynomials for the representation of the spatial variation of the transmission-line voltages and currents. A simple collocation procedure is used to obtain a matrix representation of the transmission line equations with matrix coefficients that are first order polynomials in the Laplace-transform variable s and in which terminal transmission-line voltages and currents appear explicitly. Thus, the model is compatible with both the PVL algorithm and the modified nodal analysis formalism. Results from the numerical simulation of both digital interconnect-type and microwave circuits are presented to demonstrate the validity and discuss the efficiency of the proposed model.

Original languageEnglish (US)
Pages (from-to)2525-2535
Number of pages11
JournalIEEE Transactions on Microwave Theory and Techniques
Volume44
Issue number12 PART 2
DOIs
StatePublished - 1996
Externally publishedYes

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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