Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces
We first investigate the construction of a fusion frame system in a finite-dimensional Hilbert space 𝔽n when its fusion frame operator matrix is given and provides a corresponding algorithm. The matrix representations of its local frame operators and inverse frame operators are naturally obtained. W...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/836731 |
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| _version_ | 1832551518887215104 |
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| author | Jinsong Leng Tingzhu Huang |
| author_facet | Jinsong Leng Tingzhu Huang |
| author_sort | Jinsong Leng |
| collection | DOAJ |
| description | We first investigate the construction of a fusion frame system in a finite-dimensional Hilbert space 𝔽n when its fusion frame operator matrix is given and provides a corresponding algorithm. The matrix representations of its local frame operators and inverse frame operators are naturally obtained. We then study the related properties of the constructed fusion frame systems. Finally, we implement the construction of fusion frame systems which behave optimally for erasures in some special sense in signal transmission. |
| format | Article |
| id | doaj-art-29cedf8a3b0c40b0bb85a96ede94816e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-29cedf8a3b0c40b0bb85a96ede94816e2025-02-03T06:01:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/836731836731Construction of Fusion Frame Systems in Finite Dimensional Hilbert SpacesJinsong Leng0Tingzhu Huang1School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610054, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610054, ChinaWe first investigate the construction of a fusion frame system in a finite-dimensional Hilbert space 𝔽n when its fusion frame operator matrix is given and provides a corresponding algorithm. The matrix representations of its local frame operators and inverse frame operators are naturally obtained. We then study the related properties of the constructed fusion frame systems. Finally, we implement the construction of fusion frame systems which behave optimally for erasures in some special sense in signal transmission.http://dx.doi.org/10.1155/2014/836731 |
| spellingShingle | Jinsong Leng Tingzhu Huang Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces Abstract and Applied Analysis |
| title | Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces |
| title_full | Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces |
| title_fullStr | Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces |
| title_full_unstemmed | Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces |
| title_short | Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces |
| title_sort | construction of fusion frame systems in finite dimensional hilbert spaces |
| url | http://dx.doi.org/10.1155/2014/836731 |
| work_keys_str_mv | AT jinsongleng constructionoffusionframesystemsinfinitedimensionalhilbertspaces AT tingzhuhuang constructionoffusionframesystemsinfinitedimensionalhilbertspaces |