This paper describes a new algorithm for the analysis of high-speed interconnects characterized by frequency-dependent perunit-length parameter matrices. The proposed technique is based on using the idea of integrated congruence transform to construct a reduced-order system for the interconnect. The reduced-order system offers simple time-domain ordinary differential equations that can be embedded into conventional circuit simulators. The proposed algorithm provides a new approach to perform implicit moment matching on a system described by a mixed set of linear differential algebraic equations. This feature offers a high accuracy in the reduced system over a wide frequency range. The passivity of the reduced-order system is guaranteed. Numerical results demonstrate the validity of the proposed technique.

Frequency-dependent PUL parameters, High-speed interconnects, Integrated congruence transform (ICT), Model order reduction (MOR), Passivity
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Department of Electronics

Chen, C. (Changzhong), Gad, E. (Emad), Nakhla, M.S, & Achar, R. (2007). Analysis of frequency-dependent interconnects using integrated congruence transform. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 26(6), 1139–1149. doi:10.1109/TCAD.2006.884489