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A Note on the Multiplicity of Poles in the Vector Fitting Macromodeling Method

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2 Author(s)
Dirk Deschrijver ; Dept. of Math. & Comput. Sci., Antwerp Univ. ; Tom Dhaene

Vector fitting is a robust macromodeling tool for rational approximation of spectral data obtained by full-wave electromagnetic simulators or high-frequency measurements. The technique iteratively calculates a suitable set of poles, and solves the residues of the transfer function in a two-step procedure. If poles with a higher order multiplicity occur during the pole-identification step, numerical problems and inaccuracies can result, especially if the normal equations are solved. This problem is illustrated on an RLC filter, and a generalization of the basis functions is proposed to resolve the issue

Published in:

IEEE Transactions on Microwave Theory and Techniques  (Volume:55 ,  Issue: 4 )