SIAM Review
Robust rational function approximation algorithm for model generation
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Rational approximation in linear systems and control
Journal of Computational and Applied Mathematics - Special issue on numerical analysis in the 20th century vol. 1: approximation theory
A convex programming approach to positive real rational approximation
Proceedings of the 2001 IEEE/ACM international conference on Computer-aided design
Passive Constrained Rational Approximation Algorithm Using Nevanlinna-Pick Interpolation
Proceedings of the conference on Design, automation and test in Europe
Passive Synthesis of Compact Frequency-Dependent Interconnect Models via Quadrature Spectral Rules
Proceedings of the 2003 IEEE/ACM international conference on Computer-aided design
A quasi-convex optimization approach to parameterized model order reduction
Proceedings of the 42nd annual Design Automation Conference
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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Verification of contemporary integrated circuits requires accurate modeling of high-frequency effects in all passive component sub-systems. Often, descriptions of those subsystems are only available in the frequency-domain. In this paper, we propose a simple, scalar, constrained-passive rational approximation scheme that incorporates a grid-based test for strict positive realness. In contrast to similar recent work based on convex optimization and the positive real lemma, the methodology is potentially more efficient, since it does not introduce a quadratic number of auxiliary variables, is potentially more accurate, since pole locations can be re-adjusted during the optimization, but possibly less reliable, since it relies on the solution of optimization problems that are not convex. There-fore, because of the use of local constrained non-convex optimization, the generation of feasible initial guesses is also considered.