Realization of multidimensional signal processing systems given in natural k-D state space description

The paper addresses design, analysis, and realization of linear, discrete domain k-D signal processing systems based on a natural state space description. The latter is chosen to overcome restrictions by widely known Givone-Roesser and Fornasini-Marchesini models. It is capable of describing noncausal systems as well as shift operations with respect to more than one coordinate direction. It thus provides a system description that offers better compliance with possible hardware realizations than existing models and thus allows evaluation and consideration of many realization specific effects.