Classification of finite group-frames and super-frames

被引:24
作者
Han, Deguang [1 ]
机构
[1] Univ Cent Florida, Dept Math, Orlando, FL 32163 USA
来源
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2007年 / 50卷 / 01期
关键词
frames; group-frames; frame representations; disjoint frames;
D O I
10.4153/CMB-2007-008-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a finite group G, we examine the classification of all frame representations of G and the classification of all G-frames, i.e., frames induced by group representations of G. We show that the exact number of equivalence classes of G-frames and the exact number of frame representations can be explicitly calculated. We also discuss how to calculate the largest number L such that there exists an L-tuple of strongly disjoint G-frames.
引用
收藏
页码:85 / 96
页数:12
相关论文
共 19 条
[1]   Geometric aspects of frame representations of abelian groups [J].
Aldroubi, A ;
Larson, D ;
Tang, WS ;
Weber, E .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (12) :4767-4786
[2]  
[Anonymous], 2004, WAVELETS FRAMES OPER
[3]  
Balan R., 1999, CONT MATH, V247, P29, DOI DOI 10.1090/conm/247/03796
[4]  
BALAN R, 1998, THESIS PRINCETON U
[5]   Finite normalized tight frames [J].
Benedetto, JJ ;
Fickus, M .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2003, 18 (2-4) :357-385
[6]  
CASAZZA P, 2006, IN PRESS OPERATOR TH
[7]   Equal-norm tight frames with erasures [J].
Casazza, PG ;
Kovacevic, J .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2003, 18 (2-4) :387-430
[8]  
CASAZZA PG, 2001, P SPIE C WAV APPL SI, P512
[9]   Geometrically uniform frames [J].
Eldar, YC ;
Bölcskei, H .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (04) :993-1006
[10]   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