A new fast method for ladder networks characterization

The authors present a method for writing directly, from both a numerical and a symbolic point of view, some of the main electrical characteristics (such as the node voltages, the branch currents, and 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. 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.<
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