On the implementation of 2-D separable-in-denominator recursive filters

Realization and implementation of a class of two-dimensional (2-D) separable-in-denominator recursive digital (SDRD) filters are discussed in this paper. First, we present five modular structures of 2-D SDRD filters which possess a high degree of modularity, parallelism and regularity in their building blocks for easy hardware and software implementation. Second, we analyze the performance of each realization in term of computational complexity and data throughput delay for both parallel and serial processing. This work provides a comprehensive framework on the selection of realization structures and implementation techniques for any 2-D SDRD filters.