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- On the state space realization of 2D (2,2)-periodic image behaviorsPublication . Aleixo, José; Napp, Diego; Pereira, Ricardo; Pinto, Raquel; Rocha, PaulaIn this paper we consider 2D behaviors with periodic image representations and provide conditions under which a simple method for obtaining state space realizations by means of 2D periodic (separable) Roesser models can be applied. For the sake of simplicity we restrict our attention to the (2; 2)-periodic case.