Signal integrity analysis has become imperative for high-speed designs. In this paper, we present a new technique to advance Krylov-space based passive model-reduction algorithms to include lossy coupled transmission lines described by Telegrapher’s equations. In the proposed scheme, transmission line subnetworks are treated with closed-form stamps obtained using matrix-exponential Padé, where the coefficients describing the model are computed a priori and analytically. In addition, a technique is given to ensure that the contribution of these stamps to the modified nodal analysis (MNA) formulation leads to guaranteed passive macromodel.
Emad Gad, Anestis Dounavis, Michel S. Nakhla, Rama