Fast recursive basis function algorithms for identification of time-varying processes

When system parameters vary rapidly with time the weighted least squares filters are not capable of following the changes satisfactorily - some more elaborate estimation schemes, based on the method of basis functions, have to be used instead. The basis function estimators have increased tracking capabilities but are computationally very demanding. The paper introduces a new class of adaptive filters, based on the concept of post filtering, which have improved parameter tracking capabilities, typical of the basis function algorithms, but at the same time, have rather low computational requirements, typical of the weighted least squares algorithms.