Transient response of cascaded networks using numerical inversion of the Laplace transform

Time-domain analysis of general parameter filters is carried out by first analysing the circuit in theS-domain for integer values ofSand then using numerical inversion of the Laplace transform to obtain transient response. The inversion technique follows the line given by Bellman et al. (1966) and leads to solution of the Fredholm integral equation of the first kind. The method in applied to time-domain analysis of second-order systems and to general parameter filters.