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 Z(p)=[A(p)+ B(p)]/[C(p)+ D(p)] is characterized in terms of the locations of the zeros of (AC-BD), where A,C and B,D are even and odd polynomials, respectively. Then a method of realization as an-LC-R 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 LC-R ladder networks. A number of examples give concrete form to the theoretical developments. Copyright © 1979 by The Institute of Electrical and Electronics Engineers, Inc.