Symbolic analysis of analog circuits with hard nonlinearity

Author

Manthe, Alicia ; Li, Zhao ; Shi, C. J Richard

Author_Institution

Dept. of Electr. Eng., Washington Univ., Seattle, WA, USA

fYear

2003

fDate

2-6 June 2003

Firstpage

542

Lastpage

545

Abstract

A new methodology is presented to solve a strongly nonlinear circuit, characterized by Piece-Wise Linear (PWL) functions, symbolically and explicitly in terms of its circuit parameters and is amenable to computer implementation. The method is based on a modified nodal formulation of piecewise linear circuit equations as a mixed Linear Complementarity Problem (MLCP). The technique of determinant-decision diagrams is applied to implement the symbolic transformation of the MLCP to the standard LCP. Complementarity-decision diagrams are used to represent the resulting LCP. Examples are presented that demonstrate the accuracy and efficiency of the proposed method.

Keywords

circuit CAD; mixed analogue-digital integrated circuits; piecewise linear techniques; symbol manipulation; analog circuit; circuit nonlinearity; complementarity-decision diagram; determinant-decision diagram; hard nonlinearity; mixed linear complementarity problem; nodal formulation; piece-wise linear; symbolic analysis; Algorithm design and analysis; Analog circuits; Circuit analysis; Equations; Harmonic analysis; Nonlinear circuits; Permission; Piecewise linear techniques; Power harmonic filters; Switching circuits;

fLanguage

English

Publisher

ieee

Conference_Titel

Design Automation Conference, 2003. Proceedings

Print_ISBN

1-58113-688-9

Type

conf

DOI

10.1109/DAC.2003.1219066

Filename

1219066