Spectral Models for the Estimation of Delay and Crosstalk in High-Speed Interconnects

In this paper, a closed-form rational model is presented for the computation of the finite ramp response of multiconductor transmission lines, which allows the numerical estimation of delay and crosstalk of coupled dispersive and lossy interconnects. The proposed method is based on the closed-form dyadic Green´s function of the 1-D wave-propagation problem and allows to incorporate inductive as well as dispersive effects in a straightforward way. The proposed solution is obtained by combining the state-space models of the interconnect and terminations with no restriction as to the number of poles and nature of interconnect or terminations. The methodology is tested by comparison of the results with those obtained by using the Spice solver, the standard transmission-line theory and the inverse Fourier transform as well as lumped network models.