Network Design by First-Order Predistortion Technique

A new predistortion technique based on perturbation theory is applied to the synthesis of slightly dissipative networks. The basic idea is to predistort the design of the dissipationless network in such a way that when the slight loss of the reactive elements is taken into account, the resulting transmittance has the same zeros and poles as those of the prescribed transmittance (except for second-order terms). As a result, the difference between the resulting transmittance and the prescribed one is a flat loss. One feature of the method is that the elements need not have identical Q's. A numerical example is included.