Minimal State-Space Representation of Convolutional Product Codes
Por favor, use este identificador para citar o enlazar este ítem:
http://hdl.handle.net/10045/116158
| Título: | Minimal State-Space Representation of Convolutional Product Codes |
|---|---|
| Autor/es: | Climent, Joan-Josep | Napp, Diego | Pinto, Raquel | Requena Arévalo, Verónica |
| Grupo/s de investigación o GITE: | Grupo de Álgebra y Geometría (GAG) |
| Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
| Palabras clave: | Convolutional code | Generator matrix | State-space representation | Minimal representation | Product code |
| Área/s de conocimiento: | Álgebra |
| Fecha de publicación: | 17-jun-2021 |
| Editor: | MDPI |
| Cita bibliográfica: | Climent J-J, Napp D, Pinto R, Requena V. Minimal State-Space Representation of Convolutional Product Codes. Mathematics. 2021; 9(12):1410. https://doi.org/10.3390/math9121410 |
| Resumen: | In this paper, we study product convolutional codes described by state-space representations. In particular, we investigate how to derive state-space representations of the product code from the horizontal and vertical convolutional codes. We present a systematic procedure to build such representation with minimal dimension, i.e., reachable and observable. |
| Patrocinador/es: | The research of the first, second, and fourth authors was supported by Spanish grants PID2019-108668GB-I00 of the Ministerio de Ciencia e Innovación of the Gobierno de España and VIGROB-287 of the Universitat d’Alacant. The research of the third author was supported by The Center for Research and 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. |
| URI: | http://hdl.handle.net/10045/116158 |
| ISSN: | 2227-7390 |
| DOI: | 10.3390/math9121410 |
| Idioma: | eng |
| Tipo: | info:eu-repo/semantics/article |
| Derechos: | © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
| Revisión científica: | si |
| Versión del editor: | https://doi.org/10.3390/math9121410 |
| Aparece en las colecciones: | INV - GAG - Artículos de Revistas |
Archivos en este ítem:
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
 Climent_etal_2021_Mathematics.pdf | 816,18 kB | Adobe PDF | Abrir Vista previa | |
Ver citas en Google Académico
Este ítem está licenciado bajo Licencia Creative Commons
