Inductance, capacitance networks terminated in resistance

This paper investigates the properties of the driving point impedance of general, passive, lossless two-ports without transformers which are terminated in resistance (LC-R networks). The culmination of the work consists of synthesis procedures in two areas. 1) A wide class of impedances is characterized in terms of the locations of the zeros of , where and are even and odd polynomials, respectively. Then a method of realization as an ladder network is given for members of this class. 2) The even part synthesis problem for an arbitrary, general impedance is solved. The realization takes the forms of a series connection as well as a parallel connection of at most four ladder networks. A number of examples give concrete form to the theoretical developments.