Short‐circuit admittance matrix synthesis with rc common‐ground networks and a minimum number of grounded finite‐gain phase‐inverting voltage‐controlled voltage sources

摘要

AbstractA new procedure for the synthesis of active RC networks when grounded finite‐gain phase‐inverting voltage‐controlled voltage sources serve as active elements is developed. It is proved that an arbitraryn × nmatrix of real rational functions of the complex frequency variable can be realized as the short‐circuit admittance matrix of a grounded transformerless active RCn‐port network containing (n+1) grounded finite‐gain phase‐inverting voltage‐controlled voltage sources (VCVSs). In general all the (n+1) grounded VCVSs are necessary.The structure proposed to prove a general theorem is later simplified for the realization of a restricted but important class of real rational matrices to obtain considerable savings in the computation volume and in the number of passive components used for the realization of the network.Examples are given to illustrate presented synt