On refinement masks of tight wavelet frames
Classical Analysis and ODEs
2020-08-21 v1
Abstract
In the paper we obtain sufficient conditions for a trigonometric polynomial to be a refinement mask corresponding to a tight wavelet frame. The condition is formulated in terms of the roots of a mask. In particular, it is proved that any trigonometric polynomial can serve as a mask if its associated algebraic polynomial has only negative roots (at least one of them, of course, equals ).
Keywords
Cite
@article{arxiv.2008.08632,
title = {On refinement masks of tight wavelet frames},
author = {E. A. Lebedeva and I. A. Shcherbakov},
journal= {arXiv preprint arXiv:2008.08632},
year = {2020}
}
Comments
11 pages