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Tight p-fusion frames.
Appl. Comput. Harmon. Anal. 35, 1-15 (2013)
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
Publisher
Academic Press
Publishing Place
San Diego, Calif. [u.a.]
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)