The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.

The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.

Date of Patent:
Nov. 02, 2010

Filed:

May. 22, 2008
Applicants:

Ibrahim M. Elfadel, Ossining, NY (US);

Hao Ming Huang, Katonah, NY (US);

Inventors:

Ibrahim M. Elfadel, Ossining, NY (US);

Hao Ming Huang, Katonah, NY (US);

Attorney:
Primary Examiner:
Assistant Examiner:
Int. Cl.
CPC ...
G01R 27/08 (2006.01); G06F 17/50 (2006.01);
U.S. Cl.
CPC ...
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.


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