Realizability and Synthesis of a Restricted Class of Distributed RC Networks

Realizability conditions and synthesis procedures are given for a class of distributed RC networks consisting of a cascade connection of two-port RC networks (unit elements), series shortcircuited stubs, and shunt open-circuited stubs. Each element of the network is a distributed RC section where
\sqrt{RC}
is an integral multiple of some common minimum factor, (i.e., commensurate lengths). Necessary conditions have been found for realization of any shortor open-circuit immittance parameter, together with sufficient conditions for the simultaneous realization of any two such parameters. A nontrivial example of the synthesis procedure is given.