Abstract
A separable-denominator 2-D digital filter (SD-2DDF) can be decomposed into the cascade form of a pair of 1-D digital filters (1DDFs) with different delay elements. Based on this reduced-dimensional decomposition, in this paper, we propose a new technique for designing SD-2DDFs in the spatial domain. The technique determines the coefficient matrices of 1DDFs by nonlinear optimization techniques first, and then a SD-2DDF can be easily synthesized. In addition, since the existent 1-D linear system realization techniques can be used to choose a good starting point for the optimization, extremely accurate design results can be easily achieved.
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Deng, TB., Kawamata, M. Design of separable-denominator 2-D digital filters using the reduced-dimensional decomposition model. Multidim Syst Sign Process 3, 89–96 (1992). https://doi.org/10.1007/BF01941020
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DOI: https://doi.org/10.1007/BF01941020