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http://hdl.handle.net/10773/26627
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DC Field | Value | Language |
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dc.contributor.author | Pereira, Ricardo | pt_PT |
dc.contributor.author | Napp, Diego | pt_PT |
dc.contributor.author | Pinto, Raquel | pt_PT |
dc.contributor.author | Rocha, Paula | pt_PT |
dc.date.accessioned | 2019-09-27T17:29:31Z | - |
dc.date.available | 2019-09-27T17:29:31Z | - |
dc.date.issued | 2019-09 | - |
dc.identifier.issn | 1641-876X | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/26627 | - |
dc.description.abstract | It is well-known that convolutional codes are linear systems when they are defined over a finite field. A fundamental issue in the implementation of convolutional codes is to obtain a minimal state representation of the code. In comparison to the literature on one-dimensional (1D) time-invariant convolutional codes, there exists only relatively few results on the realization problem for the time-varying 1D convolutional codes and even fewer if the convolutional codes are two-dimensional (2D). In this paper we consider 2D periodic convolutional codes and address the minimal state space realization problem for this class of codes. This is, in general, a highly nontrivial problem. Here, we focus on separable Roesser models and show that in this case it is possible to derive, under weak conditions, concrete formulas for obtaining a 2D Roesser state space representation. Moreover, we study minimility and present necessary conditions for these representations to be minimal. Our results immediately lead to constructive algorithms to build these representations. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | University of Zielona Gora Press | pt_PT |
dc.relation | UID/MAT/04106/2019 | pt_PT |
dc.relation | POCI-01-0145-FEDER-006933 | pt_PT |
dc.rights | restrictedAccess | pt_PT |
dc.subject | Periodic 2D systems | pt_PT |
dc.subject | Convolutional codes | pt_PT |
dc.subject | Realizations | pt_PT |
dc.title | Realization of 2D (2,2)-periodic encoders by means of 2D periodic separable Roesser models | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 527 | pt_PT |
degois.publication.issue | 3 | pt_PT |
degois.publication.lastPage | 539 | pt_PT |
degois.publication.title | International Journal of Applied Mathematics and Computer Science | pt_PT |
degois.publication.volume | 29 | pt_PT |
dc.relation.publisherversion | https://www.amcs.uz.zgora.pl/?action=paper&paper=1509 | pt_PT |
dc.identifier.doi | 10.2478/amcs-2019-0039 | pt_PT |
dc.identifier.essn | 2083-8492 | pt_PT |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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NappPerePintRoch19.pdf | 411.13 kB | Adobe PDF | View/Open |
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