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http://hdl.handle.net/10773/23899
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DC Field | Value | Language |
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dc.contributor.author | Napp, Diego | pt_PT |
dc.contributor.author | Pereira, Ricardo | pt_PT |
dc.contributor.author | Pinto, Raquel | pt_PT |
dc.contributor.author | Rocha, Paula | pt_PT |
dc.date.accessioned | 2018-07-31T15:59:18Z | - |
dc.date.available | 2018-07-31T15:59:18Z | - |
dc.date.issued | 2019-07 | - |
dc.identifier.issn | 1936-2447 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/23899 | - |
dc.description.abstract | In this paper we study the representation of periodically time-varying convolutional codes by means of periodic input-state-output models. In particular, we focus on period two and investigate under which conditions a given two-periodic convolutional code (obtained by alternating two time-invariant encoders) can be represented by a periodic input-state-output system. We first show that one cannot expect, in general, to obtain a periodic input-state-output representation of a periodic convolutional code by means of the individual realizations of each of the associated time-invariant codes. We, however, provide sufficient conditions for this to hold in terms of the column degrees of the associated column reduced generator matrices. Moreover, we derive a sufficient condition to obtain a periodic state-space realization that is minimal. Finally, examples to illustrate the results are presented. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Springer Verlag | 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 | Convolutional codes | pt_PT |
dc.subject | Periodically time-varying codes | pt_PT |
dc.subject | Input-state- output representations | pt_PT |
dc.title | Periodic state-space representations of periodic convolutional codes | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 585 | pt_PT |
degois.publication.issue | 4 | - |
degois.publication.lastPage | 595 | pt_PT |
degois.publication.title | Cryptography and Communications | pt_PT |
degois.publication.volume | 11 | - |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s12095-018-0313-6 | pt_PT |
dc.identifier.doi | 10.1007/s12095-018-0313-6 | pt_PT |
dc.identifier.essn | 1936-2455 | pt_PT |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Cryptography and Communications -DiegoRicardoPaulaRaquel-final.pdf | 267.32 kB | Adobe PDF | View/Open |
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