A NEW FAST METHOD FOR LADDER NETWORKS CHARACTERIZATION

This paper presents a new method to write directly, from both a numerical and symbolic point of view, some of the main electrical characteristics (such as the node voltages, the branch currents, the input and output impedances) of a ladder network formed from a cascade of n identical elementary cells, once the type of cell impedances and the number of cells are known. These characteristics can be written in terms of the coefficients of two numerical triangles, named DFF and DFFz, from the authors' names. Then, voltages, currents, and impedances are determined in the case of real and unit series to shunt impedance ratio and for the significant case of a semi-infinite length ladder network.