Oblique Dual Fusion Frames

We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals considered as elements in a Hilbert space are, under certain requirements, analyzed in one subspace and r...

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Detalles Bibliográficos
Autores principales: Heineken, S.B., Morillas, P.M.
Formato: JOUR
Materias:
Consistent reconstruction
frames
fusion frames
oblique dual frames
oblique dual fusion frames
oblique projections
Functional analysis
Mathematical techniques
Dual frames
Fusion frames
Oblique projections
Signal processing
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01630563_v39_n7_p800_Heineken
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_01630563_v39_n7_p800_Heineken
record_format dspace
spelling todo:paper_01630563_v39_n7_p800_Heineken2023-10-03T15:01:37Z Oblique Dual Fusion Frames Heineken, S.B. Morillas, P.M. Consistent reconstruction frames fusion frames oblique dual frames oblique dual fusion frames oblique projections Functional analysis Mathematical techniques Consistent reconstruction Dual frames frames Fusion frames Oblique projections Signal processing We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals considered as elements in a Hilbert space are, under certain requirements, analyzed in one subspace and reconstructed in another subspace. The requirements are, on one side, the uniqueness of the reconstructed signal, and on the other what we call consistency of the sampling for fusion frames. Both conditions are naturally related to oblique projections. We study the main properties of oblique dual fusion frames and oblique dual fusion frame systems introduced in this work and present several results that provide alternative methods for their construction. © 2018 Taylor & Francis. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01630563_v39_n7_p800_Heineken
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Consistent reconstruction
frames
fusion frames
oblique dual frames
oblique dual fusion frames
oblique projections
Functional analysis
Mathematical techniques
Consistent reconstruction
Dual frames
frames
Fusion frames
Oblique projections
Signal processing
spellingShingle Consistent reconstruction
frames
fusion frames
oblique dual frames
oblique dual fusion frames
oblique projections
Functional analysis
Mathematical techniques
Consistent reconstruction
Dual frames
frames
Fusion frames
Oblique projections
Signal processing
Heineken, S.B.
Morillas, P.M.
Oblique Dual Fusion Frames
topic_facet Consistent reconstruction
frames
fusion frames
oblique dual frames
oblique dual fusion frames
oblique projections
Functional analysis
Mathematical techniques
Consistent reconstruction
Dual frames
frames
Fusion frames
Oblique projections
Signal processing
description We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals considered as elements in a Hilbert space are, under certain requirements, analyzed in one subspace and reconstructed in another subspace. The requirements are, on one side, the uniqueness of the reconstructed signal, and on the other what we call consistency of the sampling for fusion frames. Both conditions are naturally related to oblique projections. We study the main properties of oblique dual fusion frames and oblique dual fusion frame systems introduced in this work and present several results that provide alternative methods for their construction. © 2018 Taylor & Francis.
format JOUR
author Heineken, S.B.
Morillas, P.M.
author_facet Heineken, S.B.
Morillas, P.M.
author_sort Heineken, S.B.
title Oblique Dual Fusion Frames
title_short Oblique Dual Fusion Frames
title_full Oblique Dual Fusion Frames
title_fullStr Oblique Dual Fusion Frames
title_full_unstemmed Oblique Dual Fusion Frames
title_sort oblique dual fusion frames
url http://hdl.handle.net/20.500.12110/paper_01630563_v39_n7_p800_Heineken
work_keys_str_mv AT heinekensb obliquedualfusionframes
AT morillaspm obliquedualfusionframes
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