The paper proposes an efficient technique for designing three-dimensional (3-D) FIR digital filters, which is based on the decomposition of the complex design specification constructed from the given 3-D magnitude design specification and constant group delay specifications. At first, we propose a new method to decompose the 3-D complex design specification into one-dimensional (1-D) complex design specifications that can be regarded as frequency response specifications of 1-D FIR filters. Then a set of 1-D FIR filters are designed to approximate them. Finally, connecting the resulting 1-D filters can obtain a linear phase 3-D filter with parallel structure. The technique can obtain linear phase 3-D filters by merely designing 1-D ones, thus it is very efficient and straightforward. [References: 12]
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