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.