Several adaptive LMS L-lters, both constrained and unconstrained ones, are developed for noise suppression in images and being compared in this paper. First, the location-invariant LMS L-lter for a nonconstant signal corrupted by zero-mean additive white noise is derived. It is demonstrated that the location-invariant LMS L-lter can be described in terms of the generalized linearly constrained ...

We analyse the relation between innnite-dimensional frame theory and nite-dimensional models for frames as they are used for numerical algorithms. Special emphasis in this paper is on perfect reconstruction oversampled lter banks, also known as shift-invariant frames. For certain nite-dimensional models it is shown that the corresponding nite dual frame provides indeed an approximation of the d...

Recent work on lter banks and related expansions has revealed an interesting insight: diierent lter bank trees can be regarded as diierent ways of constructing or-thonormal bases for linear signal expansion. In particular , fast algorithms for nding best bases in an operational rate-distortion sense have been successfully used in image coding. Independently of this work, recent research has als...

We investigate the relationships among the Pad e table, continued fraction expansions and perfect reconstruction (PR) lter banks. We show how the Pad e table can be utilized to develop a new lattice structure for general two-channel bi-orthogonal perfect reconstruction (PR) lter banks. This is achieved through characterization of all two-channel bi-orthogonal PR lter banks. The parameterization...

In this paper it is shown how estimates of local structure and orientation can be obtained using a set of spherically separable quadrature lters. The method is applicable to signals of any dimensionality the only requirement being that the lter set spans the corresponding orientation space. The estimates produced are 2:nd order tensors, the size of the tensors corresponding to the dimensionalit...

In this article the design framework for an Adaptive Inverse Lattice Controller(AILC) with learning attributes, applicable to linear Auto Regressive (AR) systems, is presented. The utilized controller structure relies on the principle of Inverse Model Control (IMC) and its topology resembles that of a lattice lter. The adaptation rules depend on the iden ti edsystem dynamics through an adaptive...

This paper is concerned with the problem of designing optimal multirate lter banks. Three design criteria are considered for linear phase FIR lter banks: H 2 measure, H 1 and the mixture of them. A closed-form solution is presented for optimal H 2 lter bank design. For optimal H 1 lter bank design, two algorithms are given which involve solving the design problem using positive semi-deenite pro...

A new method of co-channel interference rejection for digital television receivers is presented that uses a di erent rejection lter from the comb lter that was used in the prototype built by Zenith. This lter is optimized for rejection of co-channel NTSC interference in the presence of white noise and hence su ers a penalty of only 0.4 dB in AWGN as compared to 3.5 dB with the comb. The receive...

We show how the Pad e table can be utilized to develop a new lattice structure for general two-channel bi-orthogonal perfect reconstruction (PR) lter banks. This is achieved through characterization of all two-channel bi-orthogonal PR lter banks. The parameter space found using this method is unique for each lter bank. Similarly to any other lattice structure, the PR property is achieved struct...