Abstract
An efficient design method for three-dimensional digital filters by outer product expansion is proposed. Specifications of three-dimensional digital filters are decomposed into specifications of one-dimensional digital filters by the outer product expansion, and each specification of one-dimensional digital filters is designed. This procedure can be applied to both space-domain and frequency-domain specifications. Diagonal symmetries of three-dimensional digital filters can be exploited to reduce computations in the design procedure. The parallel separable structure produced by this method has high parallelism, regularity and modularity, making it suitable for parallel and VLSI implementation of 3-D digital filters. >
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