A linear fractional transform (LFT) based model for interconnect uncertainty

Omar Hafiz, Alexander Mitev, Janet Meiling Wang

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

As we scale toward nanometer technologies, the increase in interconnect parameter variations will bring significant performance variability. New design methodologies will emerge to facilitate construction of reliable systems from unreliable nanometer scale components. Such methodologies require new performance models which accurately capture the manufacturing realities. In this paper, we present a Linear Fractional Transform (LFT) based model for interconnect parametric uncertainty. The new model formulates the interconnect parametric uncertainty as a repeated scalar uncertainty structure. With the help of generalized Balanced Truncation Realization (BTR) and Linear Matrix Inequalities (LMI's), the porposed model reduces the order of the original interconnect network while preserves the stability. The LFT based new model even guarantees passivity if the BTR reduction is based on solutions to a pair of Linear Matrix Inequalities (LMI's) generated from Lur'e equations. In case of large number of uncertain parameters, the new model may be applied successively: the uncertain parameters are partitioned into groups, and with regard to each group, LFT based model is applied in turns.

Original languageEnglish (US)
Pages (from-to)1148-1160
Number of pages13
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE92-A
Issue number4
DOIs
StatePublished - Jan 1 2009
Externally publishedYes

Keywords

  • Balanced truncation realization (BTR)
  • Linear fractional transform (LFT)
  • Linear matrix inequality (LMI)
  • Process variation
  • Uncertainty
  • Variational model order reduction

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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