Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces

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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Main Authors: Jinsong Leng, Tingzhu Huang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/836731
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spelling doaj-29cedf8a3b0c40b0bb85a96ede94816e2020-11-25T00:18:38ZengHindawi LimitedAbstract 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
collection DOAJ
language English
format Article
sources DOAJ
author Jinsong Leng
Tingzhu Huang
spellingShingle Jinsong Leng
Tingzhu Huang
Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces
Abstract and Applied Analysis
author_facet Jinsong Leng
Tingzhu Huang
author_sort Jinsong Leng
title Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces
title_short 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_sort construction of fusion frame systems in finite dimensional hilbert spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/836731
work_keys_str_mv AT jinsongleng constructionoffusionframesystemsinfinitedimensionalhilbertspaces
AT tingzhuhuang constructionoffusionframesystemsinfinitedimensionalhilbertspaces
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