A NEW METHOD FOR SOLVING BROAD-BAND MATCHING PROBLEMS

A new method for computing the component values of LC ladder equalizer s for broadband matching purposes is presented. The method is inspired by the theory of recursive identification and results in a very compa ct algorithm. As in the usual real frequency technique, the load and g enerator impedances have to be known only at a small number of frequen cies. Starting from an assumed topology for the equalizer with random values for the components, the equalizer components are iteratively bu ilt with a recursive identification algorithm, in order to satisfy asy mptotically a least mean squares criterion. In contrast to the usual d eterministic least mean squares algorithms used in existing equalizati on techniques a stochastic algorithm has been developed. This stochast ic treatment leads to very simple equalization techniques. On the basi s of the solution found with the stochastic recursive identification a lgorithm a random search of a limited region of the component hyperspa ce is initiated in order to refine the solution. The paper includes ma ny examples in which the above method has been successfully applied. A s a special feature, the method has been applied to equalizers made up of series and parallel resonant circuits.