Moment matching method for numerical solution of MTL equations in interconnect analysis

Multiconductor transmission line (MTL) analysis is a popular technique for evaluating high-speed electrical interconnects. Typically, MTLs are modeled in the Laplace domain and similarity transformations are used to decouple the MTL equations. For high-speed systems, however, direct solution of the MTL equations at a large number of frequencies is computationally very expensive. Recent studies have employed moment matching techniques to approximate the solution for the MTL equations and improve the computational efficiency. In this study, a generalization of the method of characteristics is further studied for solving the MTL equations for lossy transmission lines. An efficient recursive solution for generating the moments of eigenvalues and eigenvectors is presented. Numerical results of this moment matching technique agree with the direct solution methods up to 10GHz.