On the Modeling of Packages from Their Time Responses

Abstract

We address the modeling of packages by the estimation of their poles from time responses. Such an approach is suitable for structures with many terminals and can produce low-order very accurate models. A real-world modeling example is used for illustration. Nowadays, macromodels describing the components of mod- ern interconnection systems and enabling their simulation by means of standard circuit simulators are attracting growing in- terest. The macromodeling approach, in fact, offers both high efficiency and accuracy. It splits the simulation problem into two separate stages: higher order effects taking place inside components are handled during the development of macromod- els; the system behavior is then obtained by simulating an elec- trical network of reduced complexity that reproduces the behav- ior of the original components. In this paper, we deal with the development of macromod- els for linear packages from their measured or simulated (e.g., via a fullwave solver) responses. From a formal point of view,