Abstract
A new structure for the block realization of IIR, 2-D digital filters is proposed. This approach is based on a matrix representation of 2-D convolutions and results in a 2-D state variable description with block feedback. The block recursive equation in a matrix form is first extracted for the quarter-plane filters and in the sequel it is extended in the most general and powerful case of half-plane filters. Finally the computational cost of the proposed method is studied in terms of the multiplication efficiencies. It is shown that the proposed block realization method can become more efficient for filters with orders exceeding approximately (5, 6), while the corresponding filters' order in the 1-D case is 25. Therefore, the advantages of the 2-D block realization parallel the known advantages of block realization in the 1-D case and they are much more remarkable.
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