Method for order selection in passive transmission line...

Data processing: structural design – modeling – simulation – and em – Simulating electronic device or electrical system – Circuit simulation

Reexamination Certificate

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C324S691000

Reexamination Certificate

active

10969743

ABSTRACT:
A passive macromodel for lossy, dispersive multiconductor transmission lines uses a multiplicative approximation of the matrix exponential known as the Lie product. The circuit implementation of the macromodel is a cascade of elementary cells, each cell being the combination of a pure delay element and a lumped circuit representing the transmission line losses. Compared with passive rational macromodeling, the Lie product macromodel is capable of efficiently simulating long, low-loss multiconductor transmission lines while preserving passivity. This result is combined with transmission line theory to derive a time-domain error criterion for the Lie product macromodel. This criterion is used to determine the minimum number of cells needed in the macromodel to assure that the magnitude of the time-domain error is less than a given engineering tolerance.

REFERENCES:
patent: 6694289 (2004-02-01), Chen
David K. Cheng. “Field and Wave Electromagnetics” Nov. 1992. Addison-Wesley Publishing Company, Inc. Second Edition, pp. 437-441.
Elfadel, I. M. et al., “A Comparative Study of Two Transient Analysis Algorithms for Lossy Transmission Lines With Frequency-Dependent Data”, May 2002, pp. 143-153, IEEE Transactions on Advanced Packaging, vol. 25, No. 2.
Dounavis A. et al., “Delay Extraction and Passive Macromodeling of Lossy Coupled Transmission Lines”, pp. 251-254, IEEE 2003.
Grivet-Talocia, S. et al., “Transient Analysis of Lossy Transmission Lines: An Efficient Approach Based on the Method of Characteristics”, Feb. 2004, pp. 45-56, IEEE Transactions On Advanced Packaging, vol. 27, No. 1.
Gruodis, A. J. et al., “Coupled Lossy Transmission Line Characterization And Simulation”, Jan. 1981, pp. 25-41, IBM J. Res. Develop. vol. 25, No. 1.

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