State representations of convolutional codes over a finite ring
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| Título: | State representations of convolutional codes over a finite ring |
|---|---|
| Autor/es: | Napp, Diego | Pinto, Raquel | Rocha, Conceição |
| Grupo/s de investigación o GITE: | Grupo de Álgebra y Geometría (GAG) |
| Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
| Palabras clave: | Finite rings | Realization theory | Convolutional |
| Área/s de conocimiento: | Álgebra |
| Fecha de publicación: | 1-may-2022 |
| Editor: | Elsevier |
| Cita bibliográfica: | Linear Algebra and its Applications. 2022, 640: 48-66. https://doi.org/10.1016/j.laa.2021.12.006 |
| Resumen: | In this paper we study finite support convolutional codes over Zpr by means of an input-state-output representation. We show that the set of finite weight input-state-output trajectories associated to this type of representations has the structure of a Zpr-submodule of Znpr and therefore is a (finite support) convolutional code. Fundamental system-theoretical properties such as observability, reachability or minimality, are investigated in this context. |
| Patrocinador/es: | This work is supported by The Center for Research & Development in Mathematics and Applications (CIDMA) through the Portuguese Foundation for Science and Technology (FCT - Fundação para a Ciência e a Tecnologia), references UIDB/04106/2020 and UIDP/04106/2020. Diego Napp is partially supported by Ministerio de Ciencia e Innovación via the grant with ref. PID2019-108668GB-I00. |
| URI: | http://hdl.handle.net/10045/125001 |
| ISSN: | 0024-3795 (Print) | 1873-1856 (Online) |
| DOI: | 10.1016/j.laa.2021.12.006 |
| Idioma: | eng |
| Tipo: | info:eu-repo/semantics/article |
| Derechos: | © 2021 Published by Elsevier Inc. |
| Revisión científica: | si |
| Versión del editor: | https://doi.org/10.1016/j.laa.2021.12.006 |
| Aparece en las colecciones: | INV - GAG - Artículos de Revistas |
Archivos en este ítem:
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
 Napp_etal_2022_LinearAlgebraAppl_final.pdf | Versión final (acceso restringido) | 400,98 kB | Adobe PDF | Abrir Solicitar una copia |
 Napp_etal_2022_LinearAlgebraAppl_preprint.pdf | Preprint (acceso abierto) | 412,08 kB | Adobe PDF | Abrir Vista previa |
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