Optimal dual frames for erasures II

被引：63

作者：

Leng, Jinsong ^{[1
]}

Han, Deguang ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Sichuan, Peoples R China

[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 435卷 / 06期

关键词：

Frames; Erasures; Optimal dual frames; GABOR; REPRESENTATIONS;

D O I：

10.1016/j.laa.2011.03.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We continue the investigation on optimal dual frames for erasures. We obtain an necessary and sufficient condition under which the canonical dual frames are the unique optimal dual frames for erasures. We examine several special simple conditions under which the canonical dual is either not optimal or it is optimal dual but not unique one. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1464 / 1472

页数：9

共 17 条

[1] Optimal linear transmission by loss-insensitive packet encoding [J].

Bodmann, Bemhard G. .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2007, 22 (03) :274-285

[2] Frame paths and error bounds for sigma-delta quantization [J].

Bodmann, Bernhard G. ;

Paulsen, Vern I. .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2007, 22 (02) :176-197

[3] Frames, graphs and erasures [J].

Bodmann, BG ;

Paulsen, VI .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 404 :118-146

[4] Equal-norm tight frames with erasures [J].

Casazza, PG ;

Kovacevic, J .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 2003, 18 (2-4) :387-430

[5] Geometrically uniform frames [J].

Eldar, YC ;

Bölcskei, H .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (04) :993-1006

[6] The uniqueness of the dual of Weyl-Heisenberg subspace frames [J].

Gabardo, JP ;

Han, DG .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2004, 17 (02) :226-240

[7]

Gabardo JP, 2003, J OPERAT THEOR, V49, P223

[8] Quantized frame expansions with erasures [J].

Goyal, VK ;

Kovacevic, J ;

Kelner, JA .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2001, 10 (03) :203-233

[9] Frame representations and Parseval duals with applications to Gabor frames [J].

Han, Deguang .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 360 (06) :3307-3326

[10] Classification of finite group-frames and super-frames [J].

Han, Deguang .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2007, 50 (01) :85-96

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