Approximation of nonuniform RC-distributed networks for frequency- and time-domain computations

Two methods for the calculation of the frequencyand time-domain behavior of networks containing nonuniform <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">RC</tex> lines are described. Successive approximations reduce the error involved. Unlike previous approximations of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">RC</tex> -distributed lines the order of the network parameters, which are entire functions, is preserved. For the second method, the type of the network parameters is also preserved. Bounds from above and below are given. Timedomain analysis is performed, by numerically inverting the corresponding Laplace transform.