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

Mustafa Celik; Andreas C. Cangellaris

doi:10.1109/22.554593

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

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	2525-2535
Number of pages	11
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	44
Issue number	12 PART 2
DOIs	https://doi.org/10.1109/22.554593
State	Published - 1996
Externally published	Yes

ASJC Scopus subject areas

Radiation
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1109/22.554593

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title = "Simulation of dispersive multiconductor transmission lines by fade approximation via the lanczos process",

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.",

author = "Mustafa Celik and Cangellaris, {Andreas C.}",

note = "Funding Information: Manuscript received March 29, 1996. This work was supported in part by the Semiconductor Research Corporation under Contract 95-PP-086. The authors are with the Center for Electronic Packaging Research, Depart-ment of Electrical and Computer Engineering, University of Arizona, Tucson, AZ 85721 USA. Publisher Item Identifier S 0018-9480(96)08559-6.",

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T1 - Simulation of dispersive multiconductor transmission lines by fade approximation via the lanczos process

AU - Celik, Mustafa

AU - Cangellaris, Andreas C.

N1 - Funding Information: Manuscript received March 29, 1996. This work was supported in part by the Semiconductor Research Corporation under Contract 95-PP-086. The authors are with the Center for Electronic Packaging Research, Depart-ment of Electrical and Computer Engineering, University of Arizona, Tucson, AZ 85721 USA. Publisher Item Identifier S 0018-9480(96)08559-6.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

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

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