On the design of equiripple multidimensional FIR digital filters

Abstract

This paper introduce a new approach for designing 2-D FIR digital filters with good computational efficiency using weighted least square (WLS) technique. The conventional weighted least squares (WLS) technique rearranges the filter parameters of 2D form into their corresponding 1-D form that results in expensive computation. In this paper an updating desired function implicitly includes the weighting function such that the sum of weighted square errors to be minimized can be represented in an 2-D matrix form. This makes it possible to keep all filter parameters in their natural 2-D form. It is confirmed through design example that the suggested approach is computationally efficient and leads to nearly optimal approximations.