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Concatenated linear systems over rings and their application to construction of concatenated families of convolutional codes
dc.contributor.author | deCastro Garcia, Noemi |
dc.contributor.author | García Planas, María Isabel |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2018-02-07T11:06:19Z |
dc.date.available | 2019-12-18T01:25:45Z |
dc.date.issued | 2017-01-01 |
dc.identifier.citation | deCastro, N., Garcia-Planas, M.I. Concatenated linear systems over rings and their application to construction of concatenated families of convolutional codes. "Linear algebra and its applications", 1 Gener 2017, vol. 542, p. 624-647. |
dc.identifier.issn | 0024-3795 |
dc.identifier.uri | http://hdl.handle.net/2117/113879 |
dc.description.abstract | © 2017 Elsevier Inc. We present a generalization of the theory of concatenated linear systems to commutative rings with identity. Moreover, we highlight sufficient conditions to obtain reachable and observable concatenated linear systems. This approach provides us with minimal input-state-output representations by means of which we can construct observable concatenated families of convolutional codes with different parameters over some particular rings. This work focuses on the characterization of models of serial, systematic serial and parallel concatenation. |
dc.language.iso | eng |
dc.publisher | Elsevier |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Algebras, Linear |
dc.subject.lcsh | Linear systems |
dc.subject.other | Concatenation |
dc.subject.other | control properties |
dc.subject.other | convolutional codes |
dc.subject.other | linear representations |
dc.subject.other | linear systems |
dc.title | Concatenated linear systems over rings and their application to construction of concatenated families of convolutional codes |
dc.type | Article |
dc.subject.lemac | Sistemes lineals |
dc.subject.lemac | Àlgebra lineal |
dc.contributor.group | Universitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals: estudi Geomètric |
dc.identifier.doi | 10.1016/j.laa.2017.12.009 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0024379517306791?via%3Dihub |
dc.rights.access | Open Access |
local.identifier.drac | 21695250 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | deCastro, N.; Garcia-Planas, M.I. |
local.citation.publicationName | Linear algebra and its applications |
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