Patent ID: 7818149

Claim:
A computer system comprising: a first computer portion structured and/or programmed to receive input characteristics of a transmission line to be simulated as a distributed resistance-capacitance (RC) interconnect, with the input characteristics being sufficient to define a transfer function for the simulated RC interconnect; and a second computer portion structured and/or programmed to determine at least one pole of the transfer function such that the transfer function is not truncated in the determination of the at least one pole; wherein: the transmission line has negligible inductance and is simulated as an RC interconnect; the input characteristics comprise interconnect resistance (R), interconnect capacitance (C), driver resistance (R d ), load capacitance (C L ) and input signal waveform; the transfer function is given by the following equation: H(s)=1/(1+Aθ 2 )cos h(θ)+Bθ sin h(θ) where A=R T C T , B=R T +C T , R T =R d /R, C T =C L /C, θ=√{square root over (RCs)}= jx n where j is the imaginary unit and x n is the coefficient of the imaginary number jx n corresponding to the nth pole in the series of poles n=0,1,2, . . . , s=frequency variable of the transfer function, and p n =the nth pole in the series of poles n=0,1,2, . . . ; the second computer portion determines the at least one pole by transforming the denominator of the transfer function into terms of a variable x, finding at least one value for x such that the transformed denominator is equal to zero and using the at least one value for x to determine the at least one pole of the transfer function; and the at least one pole of the transfer function is solved in terms of variable x as: p n = - x n 2 R ⁢ ⁢ C , n = 0 , 1 , 2 , … ⁢ .