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<dc:title xml:lang="pl"><![CDATA[Realization of 2D (2,2)-periodic encoders by means of 2D periodic separable Roesser models]]></dc:title>
<dc:creator><![CDATA[Napp, Diego]]></dc:creator>
<dc:creator><![CDATA[Pereira, Ricardo]]></dc:creator>
<dc:creator><![CDATA[Pinto, Raquel]]></dc:creator>
<dc:creator><![CDATA[Rocha, Paula]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[periodic 2D systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[convolutional codes]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[realizations]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[in the implementation of convolutional codes is to obtain a minimal state representation of the code. Compared with the literature on one-dimensional (1D) time-invariant convolutional codes, there exist relatively few results on the realization problem for time-varying 1D convolutional codes and even fewer if the convolutional codes are two-dimensional (2D).]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[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 minimality and present necessary conditions for these representations to be minimal. Our results immediately lead to constructive algorithms to build these representations.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Kulczycki, Piotr - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Kacprzyk, Janusz - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Kóczy, László T. - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Mesiar, Radko - ed.]]></dc:contributor>
<dc:date><![CDATA[2019]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/86004/AMCS_2019_29_3_9.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/100988/edition/86004/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:86004]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 29, number 3 (2019)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=113]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:100988]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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