ϵ-Algorithm for Transient Analysis of Lossy and Dispersive Multiconductor Transmission Lines

A novel approach for transient analysis of coupled transmission line circuits is presented. A recursive ϵ-algorithm is constructed to accelerate the evaluation of the generalized inverse matrix Pade approximation to exponential function (GIMPAe). Then the frequency-domain responses is transformed into the time domain. Both transient responses on the ends of the transmission lines and along the transmission lines are given. The numerical results prove the new approach is efficient and accurate for treating coupled, lossy, nonuniform and dispersive multiconductor transmission line circuits.