AN APPROXIMATION METHOD WITH RATIONAL FUNCTIONS

摘要

A general method is developed for finding functions of a single complex variables, which approximates an assigned network characteristic, within the special class of functions realizable as networks of linear lumped parameter elements. The method is based upon an interpolation technique with a series of general rational functions on the unit circle of the z-plane. A number of transformations that map the interval of interest of the s-plane into the unit circle of the z-plane are discussed.