Patent ID: 7827019

Claim:
A memory tangibly embodying a program of machine-readable instructions executable by a digital processing apparatus to perform operations to obtain a macromodel of a transmission line based on Lie criteria, the operations comprising: determining electrical parameters of a transmission line to be modeled; computing a characteristic impedance matrix of the transmission line; computing a total resistance of the transmission line; selecting a predetermined tolerance value for a time-domain error criterion for a macromodel of the transmission line; and computing, as a function of the total resistance and the predetermined tolerance value, a lower bound on a number of segments into which the transmission line is to be divided in a Lie product macromodel of the transmission line, where computing the lower bound on the number of segments, m, solves the equation m > ⁢ 1 - x x ⁢ R tot 2 ⁢ Z 0 , where x is the predetermined tolerance value, R tot is the total resistance of the transmission line and Z 0 is the characteristic impedance matrix of the transmission line.