Laguerre-domain adaptive filters

Using a tapped-delay-line as an adaptive fitter, the complexity of the filter increases with increasing correlation length of input and reference signal. The author seeks simple adaptive filter structures such that for a long correlation length only a minor complexity of the filter is needed. He considers adaptive mechanisms governed by an exponentially weighted squared-error criterion. Laguerre-domain adaptive filters are introduced, which lead to a tapped IIR-filter line. These filters contain a discount factor as a free variable, which makes it possible to set the memory and the number of adaptive coefficients independently. Convergence properties of the proposed adaptive filters are discussed