Circuit simulations with uncertainties using affine arithmetic and piecewise affine statemodels

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

  • M. Freisfeld
  • M. Olbrich
  • E. Barke

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Details

Original languageEnglish
Title of host publicationICSICT 2008 - 2008 9th International Conference on Solid-State and Integrated-Circuit Technology Proceedings
Pages496-499
Number of pages4
Publication statusPublished - 2008
Event2008 9th International Conference on Solid-State and Integrated-Circuit Technology, ICSICT 2008 - Beijing, China
Duration: 20 Oct 200823 Oct 2008

Publication series

NameInternational Conference on Solid-State and Integrated Circuits Technology Proceedings, ICSICT

Abstract

Especially in the field of safety critical applications the impact of process variations on the behavior of integrated circuits can not be neglected. Usually, simulation is costly due to the need for multiple simulation runs with different technology parameter settings. In the past, semi-symbolic-simulation applying affine arithmetic (AA) [1], as a suitable range arithmetic, has produced very motivating results on netlistlevel [2]. Using AA reduces the complexity without loosing generality of the simulation results. This paper covers the formulation of effective highlevel circuit models. We use piecewise affine functions to model the circuit and to provide fast simulations while simultaneously achieving good convergence. The equations are separated into matrices for linear mapping and matrices for the representation of the system's state. We formulate the uncertainties within the system with affine terms entered in the system matrices. Furthermore, we present the relevant solution algorithms for the semi symbolic simulation and their implementation.

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Cite this

Circuit simulations with uncertainties using affine arithmetic and piecewise affine statemodels. / Freisfeld, M.; Olbrich, M.; Barke, E.
ICSICT 2008 - 2008 9th International Conference on Solid-State and Integrated-Circuit Technology Proceedings. 2008. p. 496-499 4734572 (International Conference on Solid-State and Integrated Circuits Technology Proceedings, ICSICT).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Freisfeld, M, Olbrich, M & Barke, E 2008, Circuit simulations with uncertainties using affine arithmetic and piecewise affine statemodels. in ICSICT 2008 - 2008 9th International Conference on Solid-State and Integrated-Circuit Technology Proceedings., 4734572, International Conference on Solid-State and Integrated Circuits Technology Proceedings, ICSICT, pp. 496-499, 2008 9th International Conference on Solid-State and Integrated-Circuit Technology, ICSICT 2008, Beijing, China, 20 Oct 2008. https://doi.org/10.1109/ICSICT.2008.4734572
Freisfeld, M., Olbrich, M., & Barke, E. (2008). Circuit simulations with uncertainties using affine arithmetic and piecewise affine statemodels. In ICSICT 2008 - 2008 9th International Conference on Solid-State and Integrated-Circuit Technology Proceedings (pp. 496-499). Article 4734572 (International Conference on Solid-State and Integrated Circuits Technology Proceedings, ICSICT). https://doi.org/10.1109/ICSICT.2008.4734572
Freisfeld M, Olbrich M, Barke E. Circuit simulations with uncertainties using affine arithmetic and piecewise affine statemodels. In ICSICT 2008 - 2008 9th International Conference on Solid-State and Integrated-Circuit Technology Proceedings. 2008. p. 496-499. 4734572. (International Conference on Solid-State and Integrated Circuits Technology Proceedings, ICSICT). doi: 10.1109/ICSICT.2008.4734572
Freisfeld, M. ; Olbrich, M. ; Barke, E. / Circuit simulations with uncertainties using affine arithmetic and piecewise affine statemodels. ICSICT 2008 - 2008 9th International Conference on Solid-State and Integrated-Circuit Technology Proceedings. 2008. pp. 496-499 (International Conference on Solid-State and Integrated Circuits Technology Proceedings, ICSICT).
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