Passivity-preserving interpolation-based parameterized macromodeling of scattered S-data

Abstract—A new technique to build parametric macromodels based on scattered S-data samples in the design space is presented. Stability and passivity are guaranteed by construction over the en-tire design space by a robust and efficient two-step algorithm. In the first step, a set of univariate stable and passive macromodels is built. In the second step, a geometrical structure that determines the connections between the scattered data points in the design space is built to perform multivariate positive interpolation. Index Terms—Interpolation, parametric macromodeling, pas-sivity, rational approximation, scattered data. I