A new method of inhomogeneous ladder network synthesis

Abstract

AbstractA procedure to synthesize ladder networks in which each series arm impedance is fiz(s) and each shunt arm admittance is giy(s) is presented. Given a specified network function T(s), the function G = z(s)y(s) is first established by a polynomial decomposition. Then the appropriate chain parameters associated with T(s) are constructed as polynomials in G. The constants fi, gi are determined from a straightforward continued fraction expansion of a related RL impedance function in G. Necessary and sufficient conditions for the steps in the procedure are established and examples are included.