Synthesis of series/parallel RLC one-port networks

A special class of RLC networks, minimal series/parallel networks, which may be amenable to a systemic solution, is investigated. A minimal network is one containing the minimum number of capacitors and inductors and as many elements as there are independent coefficients in the impedance function. The prescribed driving-point function is resolved into component functions corresponding to the driving-point functions of the series or parallel subnetworks. The most straightforward case occurs when all the subnetworks are minimal, i.e., each component function is potentially realizable. In other cases in which some of the subnetworks are not minimal, different possibilities exist and require a thorough investigation