CHARACTERIZATION OF ORTHONORMAL HIGH-ORDER BALANCED MULTIWAVELETS IN TERMS OF MOMENTS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 46, Issue 1, 2009, pp.183-198
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2009.46.1.183

Title & Authors

CHARACTERIZATION OF ORTHONORMAL HIGH-ORDER BALANCED MULTIWAVELETS IN TERMS OF MOMENTS

Kwon, Soon-Geol;

Kwon, Soon-Geol;

Abstract

In this paper, we derive a characterization of orthonormal balanced multiwavelets of order p in terms of the continuous moments of the multiscaling function . As a result, the continuous moments satisfy the discrete polynomial preserving properties of order p (or degree p - 1) for orthonormal balanced multiwavelets. We derive polynomial reproduction formula of degree p - 1 in terms of continuous moments for orthonormal balanced multiwavelets of order p. Balancing of order p implies that the series of scaling functions with the discrete-time monomials as expansion coefficients is a polynomial of degree p - 1. We derive an algorithm for computing the polynomial of degree p - 1.

Keywords

multiwavelets;balanced multiwavelets;characterization of balancing condition;polynomial preservation/annihilation;moments;orthonormal bases;

Language

English

Cited by

2.

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