On the synthesis of any RC-realizable rational transfer function using a nonuniform RC distributed circuit

A synthesis procedure that can realize any RCrealizable rational transfer function as the open-circuit-voltage transfer ratio of a nonuniform, passive RC distributed circuit is presented. The resulting circuits have a simple, standardized topology and can be readily constructed by thin-film techniques. The synthesis procedure has been completely programmed on a digital computer. From the specification of the transfer function and the electrical properties of the construction materials, the computer produces the complete geometry for the construction of the distributed circuit.