Title

Orthogonal projection decomposition of matrices and construction of fusion frames

Authors

Authors

J. S. Leng;D. G. Han

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

J. Vac. Sci. Technol. B

Keywords

Fusion frames; Positive operator; Erasures; Parseval frames; ERASURES; ROBUSTNESS; COMMUNICATION; TRANSMISSION; SYSTEMS; Mathematics, Applied

Abstract

We investigate decompositions of positive matrices as weighted sums of orthogonal projections, and apply them to the construction of fusion frames when fusion frame operators are prescribed. Examples are provided to demonstrate the simplicity and flexibility in this practical construction of fusion frames. As an application, we provide an method constructing Parseval fusion frames that are optimal for the one packet erasure problem.

Journal Title

Advances in Computational Mathematics

Volume

Adv. Comput. Math.

Issue/Number

2

Publication Date

1-1-2013

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s10444-011-9241-0

Language

English

First Page

369

Last Page

381

WOS Identifier

38

ISSN

1019-7168

Recommended Citation

"Orthogonal projection decomposition of matrices and construction of fusion frames" (2013). Faculty Bibliography 2010s. 4288.
https://stars.library.ucf.edu/facultybib2010/4288