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The authors present a novel design algorithm for 3-D orthogonal filters. Both separable and non-separable cases are discussed. In the separable case, the synthesis leads to a cascade connection of 1-D systems. In the latter case, one obtains 2-D systems followed by a 1-D one. Realization techniques for these systems are presented which utilize Givens rotations and delay elements. The results are illustrated by examples of separable and non-separable 3-D system designs, i.e., Gaussian and Laplacian filters.

In the paper, a novel implementation technique of orthogonal FIR systems is proposed. Starting from a state-space model of such a system, presented algorithm computes a fully pipeline structure consisting of Givens Rotations. This technique is illustrated by an FPGA hardware design example of a low-pass FIR filter.

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