Type-3 2-D Multimode IIR Filter Architecture and the Corresponding Symmetry Filter's Error Analysis

Abstract

In this paper, we propose a low-cost high-speed Type-3 two-dimensional (2-D) multimode symmetry IIR filter architecture including four different operation modes: diagonal symmetry mode (DSM), fourfold rotational symmetry mode (FRSM), quadrantal symmetry mode (QSM), and octagonal symmetry mode (OSM). For multimode purpose, the Type-3 transfer function is applied and the interconnections to achieve corresponding four symmetry filter architectures are proposed. The proposed 2-D IIR filter structure has lower number of adders and shorter critical path than the published Type-1 IIR filter structure without sacrificing multipliers. Furthermore, the theoretical error analysis of 2-D IIR filter architectures with diagonal symmetry and four-fold rotational symmetry is studied.