A New Method for Pulse Approximation

A simple and efficient method to approximate a given pulse shape by the impulse response of a two-port with rational transfer function is described. The criterion of approximation is least mean-square error. The approximation can be performed very simply by using poles from atable and by determining the numerator of the transfer function, from which the zeros can be determined by solving a linear set of equations. The obtained result may be improved by optimizing poles and zeros simultaneously. This can be carried out by means of the same procedure used for finding the zeros.