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Conference Paper: Spectral tetris fusion frame constructions
| Title | Spectral tetris fusion frame constructions |
|---|---|
| Authors | |
| Keywords | Frames fusion frames spectral tetris |
| Issue Date | 2011 |
| Citation | Proceedings of SPIE the International Society for Optical Engineering, 2011, v. 8138, article no. 813816 How to Cite? |
| Abstract | A fusion frame is a collection of subspaces in a Hilbert space, generalizing the idea of a frame for signal representation. A tool to construct fusion frames is the spectral tetris algorithm, a flexible and elementary method to construct unit norm frames with a given frame operator having all of its eigenvalues greater than or equal to two. We discuss how spectral tetris can be used to construct fusion frames with prescribed eigenvalues for its fusion frame operator and with prescribed dimensions for its subspaces. © 2011 Copyright Society of Photo-Optical Instrumentation Engineers (SPIE). |
| Persistent Identifier | http://hdl.handle.net/10722/363146 |
| ISSN | 2023 SCImago Journal Rankings: 0.152 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Casazza, Peter G. | - |
| dc.contributor.author | Fickus, Matthew | - |
| dc.contributor.author | Heinecke, Andreas | - |
| dc.contributor.author | Wang, Yang | - |
| dc.contributor.author | Zhou, Zhengfang | - |
| dc.date.accessioned | 2025-10-10T07:44:50Z | - |
| dc.date.available | 2025-10-10T07:44:50Z | - |
| dc.date.issued | 2011 | - |
| dc.identifier.citation | Proceedings of SPIE the International Society for Optical Engineering, 2011, v. 8138, article no. 813816 | - |
| dc.identifier.issn | 0277-786X | - |
| dc.identifier.uri | http://hdl.handle.net/10722/363146 | - |
| dc.description.abstract | A fusion frame is a collection of subspaces in a Hilbert space, generalizing the idea of a frame for signal representation. A tool to construct fusion frames is the spectral tetris algorithm, a flexible and elementary method to construct unit norm frames with a given frame operator having all of its eigenvalues greater than or equal to two. We discuss how spectral tetris can be used to construct fusion frames with prescribed eigenvalues for its fusion frame operator and with prescribed dimensions for its subspaces. © 2011 Copyright Society of Photo-Optical Instrumentation Engineers (SPIE). | - |
| dc.language | eng | - |
| dc.relation.ispartof | Proceedings of SPIE the International Society for Optical Engineering | - |
| dc.subject | Frames | - |
| dc.subject | fusion frames | - |
| dc.subject | spectral tetris | - |
| dc.title | Spectral tetris fusion frame constructions | - |
| dc.type | Conference_Paper | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1117/12.892708 | - |
| dc.identifier.scopus | eid_2-s2.0-80055046442 | - |
| dc.identifier.volume | 8138 | - |
| dc.identifier.spage | article no. 813816 | - |
| dc.identifier.epage | article no. 813816 | - |