Optimal dual frames for erasures

    Authors

    J. Lopez;D. G. Han

    Comments

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    Abbreviated Journal Title

    Linear Alg. Appl.

    Keywords

    Frames; Erasures; Optimal dual frames; REPRESENTATIONS; GABOR; Mathematics, Applied; Mathematics

    Abstract

    For any given frame (for the purpose of encoding) in a finite dimensional Hilbert space, we investigate its dual frames that are optimal for erasures (for the purpose of decoding). We show that in general the canonical dual is not necessarily optimal. Moreover, optimal dual frames are not necessarily unique. We present some sufficient conditions under which the canonical dual is the unique optimal dual frame for the erasure problem. As an application, we get that the canonical dual is the only optimal dual when either the frame is induced by a group representation or the frame is uniform tight. (C) 2009 Elsevier Inc. All rights reserved.

    Journal Title

    Linear Algebra and Its Applications

    Volume

    432

    Issue/Number

    1

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    471

    Last Page

    482

    WOS Identifier

    WOS:000272954400041

    ISSN

    0024-3795

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