Transient simulation of on-chip transmission lines via exact pole extraction

An accurate and efficient solution for the transient response at the far end of a transmission line is proposed in this paper. Unlike approximating the poles by truncating the transfer function or matching moments, the exact poles of an interconnect system are analytically extracted. Excellent match is observed between the proposed method and Spectre simulations. With two pairs of poles, the average error for the 50% delay is 1%. Higher accuracy can be obtained with additional pairs of poles. The computational complexity of the model is proportional to the number of pole pairs.