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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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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
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
Zeitschrift
Applied and Computational Harmonic Analysis
Quellenangaben
Band: 35,
Heft: 1,
Seiten: 1-15
Verlag
Academic Press
Verlagsort
San Diego, Calif. [u.a.]
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Computational Biology (ICB)