A simplified real frequency computation method for broadband matching

The authors present a new method for computing the component values of LC ladder equalizers for broadband matching purposes. The method is inspired by the theory of recursive identification and results in a very compact algorithm. The load has to be known only at a small number of frequencies. Starting from an assumed topology for the equalizer with small random values for the components, the equalizer components are iteratively built to satisfy asymptotically a least mean-square criterion. The method is based on the theory of recursive approximation. The key parameter which must be calculated is the transducer power gain sensitivity with respect to the components of the equalizer. As the vector of sensitivities can be found with ease using two networks the recursive method turns out to be very simple. This is an advantage compared with the great complexity of other known methods, notably Carlin´s real frequency technique and the Yarman and Fettweis parametric technique