Guaranteed Passive Parameterized

Abstract—We propose a novel parametric macromodeling tech-nique for admittance and impedance input–output representations parameterized by design variables such as geometrical layout or substrate features. It is able to build accurate multivariate macro-models that are stable and passive in the entire design space. An efficient combination of rational identification and interpolation schemes based on a class of positive interpolation operators, en-sures overall stability and passivity of the parametric macromodel. Numerical examples validate the proposed approach on practical application cases. Index Terms—Interpolation, parametric macromodeling, pas-sivity, rational approximation. I