A new discrete transmission line model for passive model order reduction and macromodeling of high-speed interconnections

A new, computationally efficient, discrete model is presented for passive m odel order reduction of high-speed interconnections. The proposed discrete model is based on the use of the theory of compact finite differences for t he development of the discrete approximation to the transmission Line equat ions that govern wave propagation on the interconnections. Thus result in a discrete model that utilizers only a few unknown per wavelength and yet pr ovides highly accurate waveform resolution. In addition to improved computa tional efficiency, the generated discrete model is passive, and compatible with the passive reduced-order interconnect modeling algorithm (PRIMA). Thu s, if is suitable for the development of passive reduced-order models of in terconnection networks of high complexity. Numerical experiments from the s imulation and model order reduction of coupled interconnections are used to illustrate the validity and efficiency of the proposed model.