Fast Parametric Macromodeling of frequency responses using parameter derivatives

Abstract—This letter presents a generalization of the mul-tivariate Vector Fitting technique that includes parameter derivatives in the macromodeling process. The computational cost to simulate partial derivatives in terms of the parameters is often substantially lower than the simulation cost of additional data samples. An example shows that the inclusion of derivatives can be useful to reduce the required amount of data samples, while preserving the accuracy of the results. Index Terms—Least-squares, parametric macromodels, rational functions, surface approximation, vector fitting. I