Title: Orthogonal projection decomposition of matrices and construction of fusion frames.
Authors: Leng, Jinsong; Han, Deguang
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.
Subjects: MATHEMATICAL decomposition; ORTHOGRAPHIC projection; MATRICES (Mathematics); UNIVERSAL algebra; ABSTRACT algebra
Publication: Advances in Computational Mathematics, 2013, Vol 38, Issue 2, p369
ISSN: 1019-7168
Publication type: Academic Journal
DOI: 10.1007/s10444-011-9241-0

Orthogonal projection decomposition of matrices and construction of fusion frames.

Leng, Jinsong; Han, Deguang