An efficient low order model for two-dimensional digital systems: Application to the 2D digital filters

The work presented in this paper concerns with analysis and synthesis of the two-dimensional (2D) digital systems based on model order reduction, and application to the 2D-digital filters. The synthesis of the 2D-systems is performed with two methods, the Prony’s method (Prony modified) and Iterative method, in the spatial domain, and with the method of Semi-Definite iterative Programming (SDP), in the frequency domain. After synthesis, we make an order reduction of the synthesized model by the quasi-Gramians method. From several results and their interpretations, the 2D filter synthesized by the model reduction proposed method, presents advantages compared to the conventional direct synthesized filters.