Grassmannian Fusion Frames
Information Theory
2013-01-23 v2 math.IT
Abstract
Transmitted data may be corrupted by both noise and data loss. Grassmannian frames are in some sense optimal representations of data transmitted over a noisy channel that may lose some of the transmitted coefficients. Fusion frame (or frame of subspaces) theory is a new area that has potential to be applied to problems in such fields as distributed sensing and parallel processing. Grassmannian fusion frames combine elements from both theories. A simple, novel construction of Grassmannian fusion frames with an extension to Grassmannian fusion frames with local frames shall be presented. Some connections to sparse representations shall also be discussed.
Cite
@article{arxiv.1004.1086,
title = {Grassmannian Fusion Frames},
author = {Emily J. King},
journal= {arXiv preprint arXiv:1004.1086},
year = {2013}
}
Comments
13 pages