An Approach to the Synthesis of Linear Networks Through Use of Normal Coordinate Transformations Leading to More General Topological Configurations

The proposed procedure presents a method of determining parameter matrices from given impedance functions through use of normal coordinate transformations, and realizes the pertinent network by identical tree configurations in single-element-kind networks having a general topological structure. Essentially the same procedure is applicable to passive bilateral networks end to non-passive and/or non-bilateral ones, differing only in the appropriate normal coordinate transformation. Although tedious computations are involved, the availability of modern computers makes this method feasible and thus opens up a more general and potentially useful approach to network synthesis.