The pyramid algorithm for computing single wavelet transform coefficients is well known. The pyramid algorithm can be implemented by using tree-structured multirate filter banks. In this paper, we propose a general algorithm to compute multiwavelet transform coeficients by adding proper premultirate filter banks before the vector filter banks that generate multiwavelets. The proposed algorithm ...

This paper presents conventional and emerging applications of orthogonal synthesis/analysis transform configurations (transmultiplexer) in communications. It emphasizes that orthogonality is the underlying concept in the design of many communication systems. It is shown that orthogonal filter banks (subband transforms) with proper time–frequency features can play a more important role in the de...

We present a design scheme to generate tight and semi-tight frames in the space of discrete-time periodic signals, which are originated from four-channel perfect reconstruction periodic filter banks. The filter banks are derived from interpolating and quasi-interpolating polynomial and discrete splines. Each filter bank comprises one linear phase low-pass filter (in most cases interpolating) an...

It has been proposed that all M -channel paraunitary (PU) multirate filter banks over GF(2) can be described using the product of basic lattice blocks. In this paper this conjecture is proven by considering a redefinition of degree-0 lattice blocks. A factorisation algorithm that factors all degree-J PU filter banks over GF(2) is presented. In the course of this work M -channel type-I matrices ...

The symmetric extension method hqs recently been shown to be an eMicient way for subband processing of finitelength sequences. This paper presents an extension of this method to general linear-phase perfect-reconstruction filter banks. We derive constraints on the length and symmetry polarity of the permissible filter banks and propose a new design algorithm. In the algorithm, different symmetr...

This paper explores the contributions of all reconstruction combinations of the synthesis delay filters in adaptive synthesis filter banks and their effects on objective performance in image compression. It presents a novel comprehensive approach to manage all reconstruction combinations and their placing configuration in the adaptive synthesis filter banks. Based on the contributions of recons...