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A functional theoretical framework is reported for obtaining efficient 2-D digital filter realisations. A given 2-D transfer function having a separable denominator polynomial is developed into certain expansions which may be realised as two-stage structures. In such structures, only suitable 1-D substructures need to be searched for to obtain a complete realisation by connecting 1-D substructures using the corresponding weighting matrix.
Date of Publication: 2 July 1992