Parallel and separable 2-D FIR digital filter design

This paper develops a technique to design 2-D filters by approximating an ideal frequency response with sums of separable FIR components. The technique is independent of the nature of the ideal response, and can accommodate the inclusion of a weighting function. This approach gives the designer flexibility in selecting the 1-D filter orders and the number of parallel filters to be used for best results. The problem is presented here for the weighted least squares case and includes a brief analysis of computational complexity. Simulation results are used to demonstrate the effectiveness of this design algorithm.