Title

Optimal dual frames for erasures

Authors

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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