Equiangular tight frames and fourth root seidel matrices

被引:12
作者
Duncan, David M. [1 ]
Hoffman, Thomas R. [1 ]
Solazzo, James P. [1 ]
机构
[1] Coastal Carolina Univ, Conway, SC USA
关键词
Equiangular tight frames; Seidel matrix; Antisymmetric matrix; ERASURES;
D O I
10.1016/j.laa.2009.12.017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we construct complex equiangular tight frames (ETFs). In particular, we study the grammian associated with an ETF whose off-diagonal entries consist entirely of fourth roots of unity. These ETFs are classified, and we also provide some computational techniques which give rise to previously undiscovered ETFs. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:2816 / 2823
页数:8
相关论文
共 12 条
[1]  
[Anonymous], INDAG MATH
[2]   Equiangular tight frames from complex Seidel matrices containing cube roots of unity [J].
Bodmann, Bernhard G. ;
Paulsen, Vern I. ;
Tomforde, Mark .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (01) :396-417
[3]   Frames, graphs and erasures [J].
Bodmann, BG ;
Paulsen, VI .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 404 :118-146
[4]   The art of frame theory [J].
Casazza, PG .
TAIWANESE JOURNAL OF MATHEMATICS, 2000, 4 (02) :129-201
[5]  
HOFFMAN K, 1971, LINEAR ALGEBRA
[6]   Optimal frames for erasures [J].
Holmes, RB ;
Paulsen, VI .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 377 (1-3) :31-51
[7]  
HOLMES RB, 2003, THESIS U HOUSTON
[8]   Complex equiangular cyclic frames and erasures [J].
Kalra, Deepti .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (2-3) :373-399
[9]   Life beyond bases: The advent of frames (part I) [J].
Kovacevic, Jelena ;
Chebira, Amina .
IEEE SIGNAL PROCESSING MAGAZINE, 2007, 24 (04) :86-104
[10]   Grassmannian frames with applications to coding and communication [J].
Strohmer, T ;
Heath, RW .
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2003, 14 (03) :257-275