This paper presents a robust method for guaranteed passive macromodeling of high-speed interconnects characterized by multi-conductor transmission lines with frequency-dependent per-unit-length (FD-PUL) parameters, using integrated-congruence-transformationbased model-order-reduction techniques. For this purpose, a new formulation is developed to directly incorporate state-space equations corresponding to the positive-real (PR) rational functions representing the frequency dependence of PUL parameters, in Telegrapher's equations. The proposed formulation overcomes the need for explicit lumped-circuit realization with all positive elements for PR rational functions of FD-PUL parameters. Proof of passivity and numerical examples are presented to validate the theory.

Additional Metadata
Keywords Frequency-dependent parameters, High-speed interconnects, Integrated congruence transform, Model order reduction, Signal integrity, Transmission lines
Persistent URL dx.doi.org/10.1109/TCAD.2008.915535
Journal IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Citation
Chen, C. (Changzhong), Saraswat, D. (Dharmendra), Achar, R, Gad, E. (Emad), Nakhla, M.S, & Yagoub, M.C.E. (Mustapha C. E.). (2008). A robust algorithm for passive reduced-order macromodeling of MTLs with FD-PUL parameters using integrated congruence transform. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 27(3), 574–578. doi:10.1109/TCAD.2008.915535