Orthogonal projection decomposition of matrices and construction of fusion frames

    Authors

    J. S. Leng;D. G. Han

    Comments

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    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

    Language

    English

    First Page

    369

    Last Page

    381

    WOS Identifier

    38

    ISSN

    1019-7168

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