Block optimal structures for 2-D separable-in-denominator digital filters

In this paper, the problem of block optimal realizations of separable-in-denominator 2-D filters are considered. A general partial fraction expansion of a denominator separable 2-D transfer function is presented. Based on such expansion a new block optimal realization is derived with emphasis on real time processing in a multiprocessor environment. A criterion for the absence of limit cycles for a second order 2-D block is proposed