Macromodeling of high-speed interconnects by positive interpolation of vertical segments
Faculty of Sciences. Mathematics and Computer Science

article

2013
Cambridge
, 2013

Mathematics

Physics

Applied mathematical modelling. - Cambridge

37(2013)
:7
, p. 4874-4882

0307-904X

000316579600023

E

English (eng)

University of Antwerp

In this paper a novel macromodeling scheme is presented to model the per unit of length (p.u.l.) parameters of uniform transmission lines. In particular, it is focused on single on-chip interconnects, because their p.u.l. parameters are influenced by the presence of semiconductor (s) and as such exhibit a strong frequency-dependency, making the modeling process harder. Starting from a set of very accurate tabulated data samples, obtained by two-dimensional electromagnetic modeling, rational models for the four p.u.l. parameters are constructed. The novelty of the approach lies in the fact that the rational models are positive by construction and that a controllable accuracy is obtained. These models can then further be used to construct multivariate models, e.g., for variability analysis. Here, the novel scheme is applied to an on-chip inverted embedded microstrip line, of which the signal integrity behavior is assessed in both the frequency and the time domain, demonstrating the applicability of the macromodels.

https://repository.uantwerpen.be/docman/iruaauth/69b411/8f5d786eba6.pdf

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