Tight p-fusion frames

被引：28

作者：

Bachoc, C. ^{[1
]}

Ehler, M. ^{[2
]}

机构：

[1] Univ Bordeaux, IMB, UMR 5251, F-33400 Talence, France

[2] Helmholtz Zentrum Munchen, Inst Biomath & Biometry, D-85764 Neuherberg, Germany

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2013年 / 35卷 / 01期

关键词：

Fusion frame potential; Grassmann space; Cubature formula; Design; Equiangular; Simplex bound; SPHERICAL DESIGNS; CODES; BOUNDS;

D O I：

10.1016/j.acha.2012.07.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fusion frames enable signal decompositions into weighted linear subspace components. For positive integers p, we introduce p-fusion frames, a sharpening of the notion of fusion frames. Tight p-fusion frames are closely related to the classical notions of designs and cubature formulas in Grassmann spaces and are analyzed with methods from harmonic analysis in the Grassmannians. We define the p-fusion frame potential, derive bounds for its value, and discuss the connections to tight p-fusion frames. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1 / 15

页数：15

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