Robust dual reconstruction systems and fusion frames

We study the duality of reconstruction systems, which are g-frames in a finite dimensional setting. These systems allow redundant linear encoding-decoding schemes implemented by the so-called dual reconstruction systems. We are particularly interested in the projective reconstruction systems that ar...

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Detalles Bibliográficos
Autores principales: Massey, Pedro Gustavo, Ruiz, Mariano Andrés, Stojanoff, Demetrio
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2012
Materias:
Matemática
Reconstruction systems
Dual reconstruction systems
Erasures
Fusion frames
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/127387
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-127387
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Reconstruction systems
Dual reconstruction systems
Erasures
Fusion frames
spellingShingle Matemática
Reconstruction systems
Dual reconstruction systems
Erasures
Fusion frames
Massey, Pedro Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
Robust dual reconstruction systems and fusion frames
topic_facet Matemática
Reconstruction systems
Dual reconstruction systems
Erasures
Fusion frames
description We study the duality of reconstruction systems, which are g-frames in a finite dimensional setting. These systems allow redundant linear encoding-decoding schemes implemented by the so-called dual reconstruction systems. We are particularly interested in the projective reconstruction systems that are the analogue of fusion frames in this context. Thus, we focus on dual systems of a fixed projective system that are optimal with respect to erasures of the reconstruction system coefficients involved in the decoding process. We consider two different measures of the reconstruction error in a blind reconstruction algorithm. We also study the projective reconstruction system that best approximate an arbitrary reconstruction system, based on some well known results in matrix theory. Finally, we present a family of examples in which the problem of existence of a dual projective system of a reconstruction system of this type is considered.
format Articulo
Preprint
author Massey, Pedro Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
author_facet Massey, Pedro Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
author_sort Massey, Pedro Gustavo
title Robust dual reconstruction systems and fusion frames
title_short Robust dual reconstruction systems and fusion frames
title_full Robust dual reconstruction systems and fusion frames
title_fullStr Robust dual reconstruction systems and fusion frames
title_full_unstemmed Robust dual reconstruction systems and fusion frames
title_sort robust dual reconstruction systems and fusion frames
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/127387
work_keys_str_mv AT masseypedrogustavo robustdualreconstructionsystemsandfusionframes
AT ruizmarianoandres robustdualreconstructionsystemsandfusionframes
AT stojanoffdemetrio robustdualreconstructionsystemsandfusionframes
bdutipo_str Repositorios
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