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The objective of this article is to investigate whether or not a network containing one capacitor, one inductor, and three resistors is able to realize a given biquadratic function. This information should be sought before any synthesis procedure is attempted. It is hoped that the technique may be extended to higher order networks.
An iterative numerical method is used to synthesize a given non-series-parallel minimal LC network with a prescribed driving-point function. Converting the given network to a series-parallel network by a certain reduction method produces the initial element values. The concept of sensitivities of a network's evaluating equations with respect to the element values is used to achieve a convergent solution. The procedure is applicable to canonic and non-canonic networks alike. The element values can be determined to any degree of accuracy desired.