Waveform relaxation synthesis of distributed-lumped network characteristic models

A novel method for deriving the characteristic models of linear distributed-lumped networks from step-voltage responses is presented. The method consists of convolution and deconvolution of time series by recursion and synthetic division and the Prony´s expansion of time-series is employed to reduce the cost of the model synthesis. The characteristic model synthesis extracts model parameters by measurement and reduces model complexity via simulation so that transient responses of linear distributed-lumped networks with active nonlinear terminations can be much efficiently simulated by applying the recursive convolution. Examples are given to illustrate the model synthesis procedure