Enforcing passivity for rational function based macromodels of tabulated data

With the continually increasing operating frequencies, complex high-speed package and interconnect modules require characterization based on measured/simulated data. Several efficient algorithms were recently suggested for macromodeling of such data to enable transient analysis in the presence of external circuit elements. One of the difficult issues involved here is the passivity violations associated with the computed macromodel. To address this issue, an efficient algorithm is presented in this paper to enforce passivity for macromodels with passivity violations.