Parameterized macromodels for lossy multiconductor transmission lines

We present a procedure for the generation of parameterized macromodels for lossy transmission lines. The macromodels are based on delay extraction and rational approximations in the framework of the generalized method-of-characteristics. We extend this existing macromodeling technique to explicitly include the variation of significant geometrical and electrical parameters. Such parameterized macromodels are ideally suited for the automated design of electrical links and for what-if analyses aimed at link optimization, allowing for the inclusion of nonlinear driver and receiver networks and using standard circuit solvers in time domain. We demonstrate the effectiveness of the approach by applying it to flexible printed interconnect structures typically present in cellular phones having moving parts.