Non-Series-Parallel Realization of Symmetrical and Bisymmetrical Two-Element-Kind Two-Ports to Minimize Multiparameter Sensitivity

A non-series-parallel synthesis procedure is introduced to realize a class of two-element-kind two-port symmetrical and bisymmetrical network function specifications. Necessary and sufficient conditions for the realizability of the network functions are given. The multiparameter sensitivities of the non-series-parallel realizations and their equivalent conventional realizations are discussed. In particular, RC ladder networks (series-parallel networks) are compared with respect to multiparameter sensitivity with non-series-parallel networks which realize the same network functions. It is shown that the new networks always have smaller values of multiparameter sensitivity than two classes of equivalent ladder networks for all frequencies. Numerical examples computed on the CDC 1604 and the IBM 7094 illustrate the method.