A note on scalable frames
Functional Analysis
2013-01-31 v1
Abstract
We study the problem of determining whether a given frame is scalable, and when it is, understanding the set of all possible scalings. We show that for most frames this is a relatively simple task in that the frame is either not scalable or is scalable in a unique way, and to find this scaling we just have to solve a linear system. We also provide some insight into the set of all scalings when there is not a unique scaling. In particular, we show that this set is a convex polytope whose vertices correspond to minimal scalings.
Cite
@article{arxiv.1301.7292,
title = {A note on scalable frames},
author = {Jameson Cahill and Xuemei Chen},
journal= {arXiv preprint arXiv:1301.7292},
year = {2013}
}