Application of general orthogonal polynomials to fast simulation of nonlinear descriptor systems through piecewise-linear approximation

Yao Lin Jiang; Hai Bao Chen

doi:10.1109/TCAD.2011.2179879

Application of general orthogonal polynomials to fast simulation of nonlinear descriptor systems through piecewise-linear approximation

Yao Lin Jiang
, Hai Bao Chen

School of Mathematics and Statistics

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

In this letter, we report an approach combining piecewise-linear (PWL) approximation with general orthogonal polynomials to efficiently simulate large nonlinear descriptor systems in time-domain. The main idea of this approach is first to approximate a nonlinear function by a piecewise-linear representation. Then, using the recursive formulae of general orthogonal polynomials, orthonormal bases can be produced for fast simulation of the PWL model. The effectiveness of our approach is demonstrated on two nonlinear circuit models.

Original language	English
Article number	6186859
Pages (from-to)	804-808
Number of pages	5
Journal	IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Volume	31
Issue number	5
DOIs	https://doi.org/10.1109/TCAD.2011.2179879
State	Published - May 2012

Keywords

Fast simulation
general orthogonal polynomials
nonlinear circuit models
piecewise-linear (PWL) approximation

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10.1109/TCAD.2011.2179879

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abstract = "In this letter, we report an approach combining piecewise-linear (PWL) approximation with general orthogonal polynomials to efficiently simulate large nonlinear descriptor systems in time-domain. The main idea of this approach is first to approximate a nonlinear function by a piecewise-linear representation. Then, using the recursive formulae of general orthogonal polynomials, orthonormal bases can be produced for fast simulation of the PWL model. The effectiveness of our approach is demonstrated on two nonlinear circuit models.",

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KW - general orthogonal polynomials

KW - nonlinear circuit models

KW - piecewise-linear (PWL) approximation

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Application of general orthogonal polynomials to fast simulation of nonlinear descriptor systems through piecewise-linear approximation

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Keywords

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