@misc{Napp_Diego_Realization,
 author={Napp, Diego and Pereira, Ricardo and Pinto, Raquel and Rocha, Paula},
 howpublished={online},
 publisher={Zielona Góra: Uniwersytet Zielonogórski},
 language={eng},
 abstract={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).},
 abstract={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.},
 type={artykuł},
 title={Realization of 2D (2,2)-periodic encoders by means of 2D periodic separable Roesser models},
 keywords={periodic 2D systems, convolutional codes, realizations},
}