SYSTEM-IDENTIFICATION USING DISCRETE ORTHOGONAL FUNCTIONS

In this paper a novel method is described for the design of adaptive I IR filters used in system identification. The adaptive filter is imple mented as a parallel connection of subsections whose transfer function s constitute a set of discrete orthogonal systems. The adaptation algo rithm used, which is of the Gauss-Newton type, adjusts the parameters of these discrete orthogonal systems in order to match the desired out put data of the unknown plant in a least squares sense. Owing to the o rthogonality property, which ensures complete independence of subseque nt sections, convergence is very rapid. Closed-form expressions for th e gradient signals required to update the filter are given. Illustrati ve examples have shown that this method always results in much improve d adaptation properties compared with the already existing approaches.