Orthogonal projection decomposition of matrices and construction of fusion frames
Abbreviated Journal Title
J. Vac. Sci. Technol. B
Fusion frames; Positive operator; Erasures; Parseval frames; ERASURES; ROBUSTNESS; COMMUNICATION; TRANSMISSION; SYSTEMS; Mathematics, Applied
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.
Advances in Computational Mathematics
Adv. Comput. Math.
"Orthogonal projection decomposition of matrices and construction of fusion frames" (2013). Faculty Bibliography 2010s. 4288.