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dc.contributor.authordeCastro Garcia, Noemi
dc.contributor.authorGarcía Planas, María Isabel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationdeCastro, 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.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.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshAlgebras, Linear
dc.subject.lcshLinear systems
dc.subject.othercontrol properties
dc.subject.otherconvolutional codes
dc.subject.otherlinear representations
dc.subject.otherlinear systems
dc.titleConcatenated linear systems over rings and their application to construction of concatenated families of convolutional codes
dc.subject.lemacSistemes lineals
dc.subject.lemacÀlgebra lineal
dc.contributor.groupUniversitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals: estudi Geomètric
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (author's final draft)
upcommons.citation.authordeCastro, N., Garcia-Planas, M.I.
upcommons.citation.publicationNameLinear algebra and its applications

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