Decoding of MDP convolutional codes over the erasure channel under linear systems point of view
This paper attempts to highlight the decoding capabilities of MDP convolutional codes over the erasure channel by defining them as discrete linear dynamical systems, with which the controllability property and the observability characteristics of linear system theory can be applied, in particular th...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/417084 |
| Acceso en línea: | https://hdl.handle.net/2117/417084 https://dx.doi.org/10.3390/math12142159 |
| Access Level: | acceso abierto |
| Palabra clave: | Convolutional codes Maximum distance separable codes Decoding Erasure channel. Classificació AMS::94 Information And Communication, Circuits::94B Theory of error-correcting codes and error-detecting codes Classificació AMS::93 Systems Theory Control::93C Control systems, guided systems Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | This paper attempts to highlight the decoding capabilities of MDP convolutional codes over the erasure channel by defining them as discrete linear dynamical systems, with which the controllability property and the observability characteristics of linear system theory can be applied, in particular those of output observability, easily described using matrix language. Those are viewed against the decoding capabilities of MDS block codes over the same channel. Not only is the time complexity better but the decoding capabilities are also increased with this approach because convolutional codes are more flexible in handling variable-length data streams than block codes, where they are fixed-length and less adaptable to varying data lengths without padding or other adjustments. |
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