A General Framework for Geometrically Uniform Codes and Signal Sets Matched to Groups

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUTFPR—Universidade Técnica Federal do Paraná-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversidade Estadual de Maringá (UEM)-
Autor(es): dc.creatorGomes, Eduardo Michel Vieira-
Autor(es): dc.creatorCarvalho, Edson Donizete de-
Autor(es): dc.creatorMartins, Carlos Alexandre Ribeiro-
Autor(es): dc.creatorBrizola, Evandro Mazetto-
Autor(es): dc.creatorSilva, Eduardo Brandani da-
Data de aceite: dc.date.accessioned2025-08-21T18:27:39Z-
Data de disponibilização: dc.date.available2025-08-21T18:27:39Z-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2022-06-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.3390/sym14061214-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/240278-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/240278-
Descrição: dc.descriptionGeometrically uniform codes are fundamental in communication systems, mainly for modulation. Typically, geometrically uniform codes are dependent on a given alphabet. The current work establishes the necessary and sufficient conditions for obtaining a matched labeling between a group G and a signal set S. It introduces the concept of the G-isometric signal set, allowing for the establishment of equivalences between different types of signal sets. In particular, we obtain isometries between groups and geometrically uniform codes with a minimal generator. We also draw attention to the influence of the environment metric space, the group metric, and the matched mapping on the labeling of a signal set. The results are valid for all environment metric spaces. The alphabet emerges naturally from the relationship between the signal set S and the label group derived from its symmetry group, Γ(S).-
Descrição: dc.descriptionDepartment of Mathematics UTFPR—Universidade Técnica Federal do Paraná, PR-
Descrição: dc.descriptionDepartment of Mathematics UNESP—Universidade Estadual Paulista, SP-
Descrição: dc.descriptionDepartment of Mathematics UEM—Universidade Estadual de Maringá, Av. Colombo 5790, PR-
Descrição: dc.descriptionDepartment of Mathematics UNESP—Universidade Estadual Paulista, SP-
Idioma: dc.languageen-
Relação: dc.relationSymmetry-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectgeometrically uniform codes-
Palavras-chave: dc.subjectgroups-
Palavras-chave: dc.subjectleft invariant metric-
Palavras-chave: dc.subjectmatched labeling-
Palavras-chave: dc.subjectsignal constellations-
Palavras-chave: dc.subjectsignal sets-
Título: dc.titleA General Framework for Geometrically Uniform Codes and Signal Sets Matched to Groups-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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