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Bachoc, C.* ; Ehler, M.

Tight p-fusion frames.

Appl. Comput. Harmon. Anal. 35, 1-15 (2013)
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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.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Cubature formula; Design; Equiangular; Fusion frame potential; Grassmann space; Simplex bound; Grassmannian Spaces ; Jacobi-polynomials ; Spherical Designs ; Codes ; Packings ; Systems ; Bounds ; Lines
ISSN (print) / ISBN 1063-5203
e-ISSN 1096-603X
Quellenangaben Volume: 35, Issue: 1, Pages: 1-15 Article Number: , Supplement: ,
Publisher Academic Press
Publishing Place San Diego, Calif. [u.a.]
Reviewing status Peer reviewed