Edge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g - 6; 3} for signal set design

Detalhes bibliográficos
Autor(a) principal: Souza, Mário José de
Data de Publicação: 2012
Outros Autores: Faria, Mercio Botelho, Palazzo Jr., Reginaldo, Firer, Marcelo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1016/j.jfranklin.2012.01.004
http://www.locus.ufv.br/handle/123456789/21750
Resumo: In this paper we present a systematic procedure for the establishment of edge-pairing isometries in order to achieve the largest possible number (2g+1) of transformations pairing diametrically opposite edges and the angle between any two adjacent edges being equal to 2PI/3 as well as a procedure for counting the number of Dirichlet domains on the densest tessellation {12g - 6,3} for signal set design with applications in space-time block codes.
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spelling Souza, Mário José deFaria, Mercio BotelhoPalazzo Jr., ReginaldoFirer, Marcelo2018-09-11T17:53:38Z2018-09-11T17:53:38Z2012-0400160032https://doi.org/10.1016/j.jfranklin.2012.01.004http://www.locus.ufv.br/handle/123456789/21750In this paper we present a systematic procedure for the establishment of edge-pairing isometries in order to achieve the largest possible number (2g+1) of transformations pairing diametrically opposite edges and the angle between any two adjacent edges being equal to 2PI/3 as well as a procedure for counting the number of Dirichlet domains on the densest tessellation {12g - 6,3} for signal set design with applications in space-time block codes.engJournal of the Franklin Institutev. 349, n. 3, p. 1139- 1152, april 2012Elsevier Ltd.info:eu-repo/semantics/openAccessEdge-pairing isometriesCounting Dirichlet domainsEdge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g - 6; 3} for signal set designinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf393958https://locus.ufv.br//bitstream/123456789/21750/1/artigo.pdf6bc0249e434ee8cb483345338ddc2bf2MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/21750/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg5528https://locus.ufv.br//bitstream/123456789/21750/3/artigo.pdf.jpg45751a297419d96cf9c4482ac906c6a4MD53123456789/217502018-09-11 23:00:44.18oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-09-12T02:00:44LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Edge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g - 6; 3} for signal set design
title Edge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g - 6; 3} for signal set design
spellingShingle Edge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g - 6; 3} for signal set design
Souza, Mário José de
Edge-pairing isometries
Counting Dirichlet domains
title_short Edge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g - 6; 3} for signal set design
title_full Edge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g - 6; 3} for signal set design
title_fullStr Edge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g - 6; 3} for signal set design
title_full_unstemmed Edge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g - 6; 3} for signal set design
title_sort Edge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g - 6; 3} for signal set design
author Souza, Mário José de
author_facet Souza, Mário José de
Faria, Mercio Botelho
Palazzo Jr., Reginaldo
Firer, Marcelo
author_role author
author2 Faria, Mercio Botelho
Palazzo Jr., Reginaldo
Firer, Marcelo
author2_role author
author
author
dc.contributor.author.fl_str_mv Souza, Mário José de
Faria, Mercio Botelho
Palazzo Jr., Reginaldo
Firer, Marcelo
dc.subject.pt-BR.fl_str_mv Edge-pairing isometries
Counting Dirichlet domains
topic Edge-pairing isometries
Counting Dirichlet domains
description In this paper we present a systematic procedure for the establishment of edge-pairing isometries in order to achieve the largest possible number (2g+1) of transformations pairing diametrically opposite edges and the angle between any two adjacent edges being equal to 2PI/3 as well as a procedure for counting the number of Dirichlet domains on the densest tessellation {12g - 6,3} for signal set design with applications in space-time block codes.
publishDate 2012
dc.date.issued.fl_str_mv 2012-04
dc.date.accessioned.fl_str_mv 2018-09-11T17:53:38Z
dc.date.available.fl_str_mv 2018-09-11T17:53:38Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1016/j.jfranklin.2012.01.004
http://www.locus.ufv.br/handle/123456789/21750
dc.identifier.issn.none.fl_str_mv 00160032
identifier_str_mv 00160032
url https://doi.org/10.1016/j.jfranklin.2012.01.004
http://www.locus.ufv.br/handle/123456789/21750
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 349, n. 3, p. 1139- 1152, april 2012
dc.rights.driver.fl_str_mv Elsevier Ltd.
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Elsevier Ltd.
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Journal of the Franklin Institute
publisher.none.fl_str_mv Journal of the Franklin Institute
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
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reponame_str LOCUS Repositório Institucional da UFV
collection LOCUS Repositório Institucional da UFV
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