Stability of iterated dyadic filter banks
Classical Analysis and ODEs
2022-12-22 v1 Information Theory
math.IT
Abstract
This paper examines the frame properties of finitely and infinitely iterated dyadic filter banks. It is shown that the stability of an infinitely iterated dyadic filter bank guarantees that of any associated finitely iterated dyadic filter bank with uniform bounds. Conditions under which the stability of finitely iterated dyadic filter banks with uniform bounds implies that of the infinitely iterated dyadic filter bank are also given. The main result describes a sufficient condition under which the infinitely iterated dyadic filter bank associated with a specific class of finitely supported filters is stable.
Keywords
Cite
@article{arxiv.2212.10709,
title = {Stability of iterated dyadic filter banks},
author = {Marcin Bownik and Brody Johnson and Simon McCreary-Ellis},
journal= {arXiv preprint arXiv:2212.10709},
year = {2022}
}