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Conference Paper: Constructions and existence of tight fusion frames

TitleConstructions and existence of tight fusion frames
Authors
KeywordsFrames
Fusion
Tight
Issue Date2009
Citation
Proceedings of SPIE the International Society for Optical Engineering, 2009, v. 7446, article no. 744613 How to Cite?
AbstractFusion frames are an emerging topic of frame theory, with applications to communications and distributed processing. However, until recently, little was known about the existence of tight fusion frames, much less how to construct them. We discuss a new method for constructing tight fusion frames which is akin to playing Tetris with the spectrum of the frame operator. When combined with some easily obtained necessary conditions, these Spectral Tetris constructions provide a near complete characterization of the existence of tight fusion frames. © 2009 SPIE.
Persistent Identifierhttp://hdl.handle.net/10722/363124
ISSN
2023 SCImago Journal Rankings: 0.152

 

DC FieldValueLanguage
dc.contributor.authorCasazza, Peter G.-
dc.contributor.authorFickus, Matthew-
dc.contributor.authorMixon, Dustin G.-
dc.contributor.authorWang, Yang-
dc.contributor.authorZhou, Zhengfang-
dc.date.accessioned2025-10-10T07:44:43Z-
dc.date.available2025-10-10T07:44:43Z-
dc.date.issued2009-
dc.identifier.citationProceedings of SPIE the International Society for Optical Engineering, 2009, v. 7446, article no. 744613-
dc.identifier.issn0277-786X-
dc.identifier.urihttp://hdl.handle.net/10722/363124-
dc.description.abstractFusion frames are an emerging topic of frame theory, with applications to communications and distributed processing. However, until recently, little was known about the existence of tight fusion frames, much less how to construct them. We discuss a new method for constructing tight fusion frames which is akin to playing Tetris with the spectrum of the frame operator. When combined with some easily obtained necessary conditions, these Spectral Tetris constructions provide a near complete characterization of the existence of tight fusion frames. © 2009 SPIE.-
dc.languageeng-
dc.relation.ispartofProceedings of SPIE the International Society for Optical Engineering-
dc.subjectFrames-
dc.subjectFusion-
dc.subjectTight-
dc.titleConstructions and existence of tight fusion frames-
dc.typeConference_Paper-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1117/12.825645-
dc.identifier.scopuseid_2-s2.0-70449468316-
dc.identifier.volume7446-
dc.identifier.spagearticle no. 744613-
dc.identifier.epagearticle no. 744613-

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