NEW LOOK AT THE CONSTRUCTIONS OF MULTIWAVELET FRAMES

Title & Authors
NEW LOOK AT THE CONSTRUCTIONS OF MULTIWAVELET FRAMES
Kim, Hong-Oh; Kim, Rae-Young; Lim, Jae-Kun;

Abstract
Using the fiberization technique of a shift-invariant space and the matrix characterization of the decomposition of a shift-invariant space of finite length into an orthogonal sum of singly generated shift-invariant spaces, we show that the main result in [13] can be interpreted as a statement about the length of a shift-invariant space, and give a more natural construction of multiwavelet frames from a frame multiresolution analysis of $\small{L^2(\mathbb{R}^d)}$.
Keywords
wavelet;frame;multiresolution analysis;shift-invariant space;
Language
English
Cited by
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