Synthesis of non-series-parallel LC one-port networks

An extrapolation technique is used to synthesise a given canonic inductor-capacitor network with a prescribed driving-point function. The method is based on the concept of shunt-or series-reduction of the network, and involves the solution of linear simultaneous algebraic equations. The numerical precision can be high, and depends on the degree of rigour employed in carrying out the computation. In the two examples presented, the given networks realise the set of prescribed critical frequencies to within ± 0.27%.