Delay-rational model of lossy and dispersive multiconductor transmission lines

In this paper, the transient analysis of lossy and dispersive multiconductor transmission lines is considered. The existing Green's function-based method is extended to explicitly include delays extraction, thus leading to a significant compressed time-domain state-space model. The proposed method is mainly based on poles and residues asymptotic analysis and lossless delays extraction. The resulting hybrid state-space model incorporates Dirac-combs in the input and results into a reduced number of state variables. A test case has been considered in order to clearly demonstrate the effectiveness of the proposed methodology. The results are compared with the original rational Green's function method, and with the standard inverse fast Fourier transform technique.