Refined support and entropic uncertainty inequalities
Information Theory
2012-10-30 v1 math.IT
Abstract
Generalized versions of the entropic (Hirschman-Beckner) and support (Elad-Bruckstein) uncertainty principle are presented for frames representations. Moreover, a sharpened version of the support inequality has been obtained by introducing a generalization of the coherence. In the finite dimensional case and under certain conditions, minimizers of this inequalities are given as constant functions on their support. In addition, -norms inequalities are introduced as byproducts of the entropic inequalities.
Keywords
Cite
@article{arxiv.1210.7711,
title = {Refined support and entropic uncertainty inequalities},
author = {Benjamin Ricaud and Bruno Torrésani},
journal= {arXiv preprint arXiv:1210.7711},
year = {2012}
}