Synthesis of Paralleled 3-Terminal R-C Networks to Provide Complex Zeros in the Transfer Function

A method is given whereby a transfer ratio that contains complex zeros can be realized by means of R-C (resistance-capacitance) ladder networks connected in parallel. It is an improvement on the method previously given by Guillemin in that fewer paralleled networks are required and the level of the transfer ratio is greater. The general procedure is (1) to convert the desired transfer ratio into the sum of several transfer ratios, each of which can be realized with a single ladder network, (2) to develop the theory of paralleling ladders, and (3) to develop the method of synthesis of the individual ladder networks in terms of a common driving-point admittance function.