Convergence properties of an adaptive noise cancelling lattice structure

Abstract

This paper presents the results of a preliminary analysis designed to predict the properties of an adaptive noise-cancelling filter which is implemented using a lattice structure. Previous work in this area has been restricted to adaptive filters implemented using tapped-delay-lines. The comparison given shows that the lattice form has a time constant of convergence which is independent of the eigenvalue spread of the input data. Further, misadjustment values are shown to depend upon both filter length and the normalized adaptive step size.