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.