New 2-D Quadrantal- and Diagonal-Symmetry Filter Architectures Using Delta Operator

Abstract

In this paper, we propose two new two-dimensional (2-D) IIR filter architectures with quadrantal and diagonal magnitude symmetry using delta operator. These filter architectures can attain lower coefficient sensitivity in comparison with the traditional shift operator formulation (i.e., the conventional z-domain filters). The IIR filter structures presented not only achieve lower coefficient sensitivity without sacrificing the number of multipliers, but in fact reducing the number of multipliers by 36.36% compared with the previous corresponding quadrantal symmetry filter structures using delta operator with order N=3.