State Space Modeling of 2-d Recursive Digital Filters

In this paper, a novel technique is introduced for the design of recursive digital filters in the state space form. The Roesser’s state space model has been used for the spatial domain representation of the 2-D causal recursive digital filters. This model divides the local state into a horizontal and a vertical state which are propagated in horizontal and vertical directions respectively. The design approach for the 2-D recursive filter is realized as approximation problem in time domain. This problem is solved by standard gradient type optimization procedure. The effectiveness of this method has been demonstrated by modeling of the first quadrant Gaussian 2-D IIR filter.