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http://hdl.handle.net/10773/24656
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DC Field | Value | Language |
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dc.contributor.author | Fornasini, Ettore | pt_PT |
dc.contributor.author | Pinho, Telma | pt_PT |
dc.contributor.author | Pinto, Raquel | pt_PT |
dc.contributor.author | Rocha, Paula | pt_PT |
dc.date.accessioned | 2018-11-16T15:10:32Z | - |
dc.date.available | 2018-11-16T15:10:32Z | - |
dc.date.issued | 2017-01-01 | - |
dc.identifier.issn | 1930-5346 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/24656 | - |
dc.description.abstract | In this paper we introduce a special class of 2D convolutional codes, called composition codes, which admit encoders G(d1,d2) that can be decomposed as the product of two 1D encoders, i.e., G(d1,d2)=G2(d2)G1(d1). Taking into account this decomposition, we obtain syndrome formers of the code directly from G1(d1) andG2(d2), in case G1(d1) andG2(d2) are right prime. Moreover we consider 2D state-space realizations by means of a separable Roesser model of the encoders and syndrome formers of a composition code and we investigate the minimality of such realizations. In particular, we obtain minimal realizations for composition codes which admit an encoder G(d1,d2)=G2(d2)G1(d1) withG2(d2) a systematic 1D encoder. Finally, we investigate the minimality of 2D separable Roesser state-space realizations for syndrome formers of these codes. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | American Institute of Mathematical Sciences | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Encoders and syndrome formers | pt_PT |
dc.subject | 2D composition codes | pt_PT |
dc.subject | Minimal 2D state-space models | pt_PT |
dc.title | Composition codes | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 163 | pt_PT |
degois.publication.issue | 1 | pt_PT |
degois.publication.lastPage | 177 | pt_PT |
degois.publication.title | Advances in Mathematics of Communications | pt_PT |
degois.publication.volume | 10 | pt_PT |
dc.identifier.doi | DOI:10.3934/amc.2016.10.163 | pt_PT |
dc.identifier.essn | 1930-5338 | pt_PT |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Composition codes.pdf | 537.8 kB | Adobe PDF | View/Open |
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