Title :
Application of General Orthogonal Polynomials to Fast Simulation of Nonlinear Descriptor Systems Through Piecewise-Linear Approximation
Author :
Jiang, Yao-Lin ; Chen, Hai-Bao
Author_Institution :
Dept. of Math. Sci., Xi´´an Jiaotong Univ., Xi´´an, China
fDate :
5/1/2012 12:00:00 AM
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.
Keywords :
nonlinear functions; nonlinear network analysis; piecewise linear techniques; piecewise polynomial techniques; time-domain analysis; PWL approximation; PWL model; general orthogonal polynomials; nonlinear circuit models; nonlinear descriptor system simulation; nonlinear function approximation; orthonormal bases; piecewise-linear approximation; recursive formulae; time-domain; Chebyshev approximation; Computational modeling; Integrated circuit modeling; Mathematical model; Numerical models; Polynomials; Fast simulation; general orthogonal polynomials; nonlinear circuit models; piecewise-linear (PWL) approximation;
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCAD.2011.2179879
