Practical selection of a basis from a redundant tree structure

Autores
Bria, Oscar N.
Año de publicación
1997
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
The problem of selecting a basis within a redundant tree structure naturally arises in the frameworks of wavelet packet transform (WPT) and cosine packet transform (CPT) for signal representation. The "actual" tree has to be consider before performing that selection using suitable information cost functions for the branches. The "actual" redundant tree has many constraints. Among them is the bit overhead for coding explicitly the name of the resulting non redundant (prune) tree. Besides, from computational or real time constraints it is convenient to perform sub-optimal top-down tree computation/search instead of the optimal bottom-up tree search after computing the complete tree. Even when a optimal coding of the tree remains an open join coding problem, a practical selection algorithm is reported here that takes the above and others considerations into account. The algorithm has been implemented an tested in the framework of a wavelet based audio coding system. Variations of the algorithm can be used in many practical situations where a subset from an redundant structure has to be chosen with the constraint of minimal bit cost.
Eje: Procesamiento distribuido y paralelo. Tratamiento de señales
Red de Universidades con Carreras en Informática (RedUNCI)
Materia
Ciencias Informáticas
Practical Selection
Redundant Tree Structure
Distributed
Parallel processing
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/23904

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spelling Practical selection of a basis from a redundant tree structureBria, Oscar N.Ciencias InformáticasPractical SelectionRedundant Tree StructureDistributedParallel processingThe problem of selecting a basis within a redundant tree structure naturally arises in the frameworks of wavelet packet transform (WPT) and cosine packet transform (CPT) for signal representation. The "actual" tree has to be consider before performing that selection using suitable information cost functions for the branches. The "actual" redundant tree has many constraints. Among them is the bit overhead for coding explicitly the name of the resulting non redundant (prune) tree. Besides, from computational or real time constraints it is convenient to perform sub-optimal top-down tree computation/search instead of the optimal bottom-up tree search after computing the complete tree. Even when a optimal coding of the tree remains an open join coding problem, a practical selection algorithm is reported here that takes the above and others considerations into account. The algorithm has been implemented an tested in the framework of a wavelet based audio coding system. Variations of the algorithm can be used in many practical situations where a subset from an redundant structure has to be chosen with the constraint of minimal bit cost.Eje: Procesamiento distribuido y paralelo. Tratamiento de señalesRed de Universidades con Carreras en Informática (RedUNCI)1997info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/23904enginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/ar/Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T16:37:10Zoai:sedici.unlp.edu.ar:10915/23904Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 16:37:10.362SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Practical selection of a basis from a redundant tree structure
title Practical selection of a basis from a redundant tree structure
spellingShingle Practical selection of a basis from a redundant tree structure
Bria, Oscar N.
Ciencias Informáticas
Practical Selection
Redundant Tree Structure
Distributed
Parallel processing
title_short Practical selection of a basis from a redundant tree structure
title_full Practical selection of a basis from a redundant tree structure
title_fullStr Practical selection of a basis from a redundant tree structure
title_full_unstemmed Practical selection of a basis from a redundant tree structure
title_sort Practical selection of a basis from a redundant tree structure
dc.creator.none.fl_str_mv Bria, Oscar N.
author Bria, Oscar N.
author_facet Bria, Oscar N.
author_role author
dc.subject.none.fl_str_mv Ciencias Informáticas
Practical Selection
Redundant Tree Structure
Distributed
Parallel processing
topic Ciencias Informáticas
Practical Selection
Redundant Tree Structure
Distributed
Parallel processing
dc.description.none.fl_txt_mv The problem of selecting a basis within a redundant tree structure naturally arises in the frameworks of wavelet packet transform (WPT) and cosine packet transform (CPT) for signal representation. The "actual" tree has to be consider before performing that selection using suitable information cost functions for the branches. The "actual" redundant tree has many constraints. Among them is the bit overhead for coding explicitly the name of the resulting non redundant (prune) tree. Besides, from computational or real time constraints it is convenient to perform sub-optimal top-down tree computation/search instead of the optimal bottom-up tree search after computing the complete tree. Even when a optimal coding of the tree remains an open join coding problem, a practical selection algorithm is reported here that takes the above and others considerations into account. The algorithm has been implemented an tested in the framework of a wavelet based audio coding system. Variations of the algorithm can be used in many practical situations where a subset from an redundant structure has to be chosen with the constraint of minimal bit cost.
Eje: Procesamiento distribuido y paralelo. Tratamiento de señales
Red de Universidades con Carreras en Informática (RedUNCI)
description The problem of selecting a basis within a redundant tree structure naturally arises in the frameworks of wavelet packet transform (WPT) and cosine packet transform (CPT) for signal representation. The "actual" tree has to be consider before performing that selection using suitable information cost functions for the branches. The "actual" redundant tree has many constraints. Among them is the bit overhead for coding explicitly the name of the resulting non redundant (prune) tree. Besides, from computational or real time constraints it is convenient to perform sub-optimal top-down tree computation/search instead of the optimal bottom-up tree search after computing the complete tree. Even when a optimal coding of the tree remains an open join coding problem, a practical selection algorithm is reported here that takes the above and others considerations into account. The algorithm has been implemented an tested in the framework of a wavelet based audio coding system. Variations of the algorithm can be used in many practical situations where a subset from an redundant structure has to be chosen with the constraint of minimal bit cost.
publishDate 1997
dc.date.none.fl_str_mv 1997
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info:eu-repo/semantics/publishedVersion
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dc.language.none.fl_str_mv eng
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dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)
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rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)
dc.format.none.fl_str_mv application/pdf
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