High Balanced Biorthogonal Multiwavelets with Symmetry

The structure of balanced multivariate biorthogonal multiwavelets and dual multiframelets

Multiwavelets and multiframelets are of interest in several applications such as numerical algorithms and signal processing, due to their desirable properties such as high smoothness and vanishing moments with relatively small supports of their generating functions and masks. In order to process and represent vector-valued discrete data efficiently and sparsely by a multiwavelet transform, a mu...

Balanced multiwavelets

This paper deals with multiwavelets which are a recent generalization of wavelets in the context of multirate lter banks and their applications to signal processing and especially compression. By their inherent structure, multiwavelets are t for processing multi-channel signals. First, we will recall some general results on multiwavelets and the convergence of the iterated matrix product. Then,...

Balanced multiwavelets theory and design

This correspondence deals with multiwavelets which are a recent generalization of wavelets in the context of time-varying lter banks and with their applications to signal processing and especially compression. By their inherent structure, multiwavelets are t for processing multi-channel signals. This is the main issue we will be interested in here. The outline of the paper is as follow. First, ...

Image Compression Using Balanced Multiwavelets

High-order balanced multiwavelets: theory, factorization, and design

This paper deals with multiwavelets and the different properties of approximation and smoothness associated with them. In particular, we focus on the important issue of the preservation of discrete-time polynomial signals by multifilterbanks. We introduce and detail the property of balancing for higher degree discrete-time polynomial signals and link it to a very natural factorization of the re...