Passive Constrained Rational Approximation Algorithm Using Nevanlinna-Pick Interpolation

Authors:
C. Coelho;L. Silveira;J. Phillips
Affiliations:
INESC/Cadence European Laboratories, Dept. of Electrical and Computer Engineering, IST/Technical University of Lisbon, Lisboa, 1000 Portugal;INESC/Cadence European Laboratories, Dept. of Electrical and Computer Engineering, IST/Technical University of Lisbon, Lisboa, 1000 Portugal;Cadence Berkelely Laboratories, Cadence Design Wystems, San Jose, CA
Venue:
Proceedings of the conference on Design, automation and test in Europe
Year:
2002

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Abstract

As system integration evolves and tighter design constraintsmust be met, it becomes necessary to account forthe non-ideal behavior of all the elements in a system. Forhigh-speed digital, and microwave systems, it is increasinglyimportant to model previously neglected frequency domaineffects.In this paper, results from Nevanlinna-Pick interpolationtheory are used to develop a bounded real matrix rationalapproximation algorithm. A method is presented that allowsfor the generation of guaranteed passive rational functionmodels of passive systems by approximating their scatteringparameter matrices. Since the order of the models may insome cases be high, an incremental fitting strategy is alsoproposed that allows for the generation of smaller modelswhile still meeting the required passivity and accuracyrequirements. Results of the application of the proposedmethod to several real-world examples are also shown.