Time-Domain Simulation of Sampled Weakly Nonlinear Systems Using Analytical Integration and Orthogonal Polynomial Series

This paper presents a novel method for simulation of sampled systems with weakly nonlinear behavior. These systems can be characterized by adding weakly nonlinear terms to the linear state-space equations of the system resulting in an extended state-space model. Perturbation theory is used to split...

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Bibliographic Details
Published in:Design, Automation and Test in Europe pp. 120 - 125
Main Authors: Martens, Ewout, Gielen, Georges
Format: Conference Proceeding
Language:English
Published: Washington, DC, USA IEEE Computer Society 07.03.2005
IEEE
Series:ACM Conferences
Subjects:
Analytical models
Application specific integrated circuits
Clocks
Hardware > Hardware validation > Functional verification > Simulation and emulation
Jitter
Mathematics of computing > Mathematical analysis > Functional analysis > Approximation
Mathematics of computing > Mathematical analysis > Nonlinear equations
Mathematics of computing > Mathematical analysis > Numerical analysis > Computations on polynomials
Nonlinear equations
Nonlinear systems
Numerical simulation
Polynomials
Theory of computation > Design and analysis of algorithms > Approximation algorithms analysis
Time domain analysis
Time series analysis
ISBN:9780769522883, 0769522882
ISSN:1530-1591
Online Access:Get full text
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Summary:This paper presents a novel method for simulation of sampled systems with weakly nonlinear behavior. These systems can be characterized by adding weakly nonlinear terms to the linear state-space equations of the system resulting in an extended state-space model. Perturbation theory is used to split these equations in an ideal linear behavior and a non-ideal small perturbation. The linear equations are solved analytically which reduces simulation time compared to numerical evaluation. The solution of the perturbation equations is approximated by orthogonal polynomials. This methodology not only reduces simulation time compared to traditional numerical simulations, but also deals naturally with clock jitter and the discontinuous behavior ofsampled systems. An implementation of the methodology has been used to analyze systems including switched filters and continuous-time ΔΣ modulators.
Bibliography:SourceType-Conference Papers & Proceedings-1
ObjectType-Conference Paper-1
content type line 25
ISBN:9780769522883
0769522882
ISSN:1530-1591
DOI:10.1109/DATE.2005.311