This paper presents a low complexity two dimensional (2D) circular symmetric Finite Impulse Response (FIR) filter design and implementation of architecture. The optimized circular symmetric 2D FIR filter is designed using a modified Park–McClellan transformation method and filter coefficients are quantized using a canonical signed digit (CSD) binary number format. The CSD encoded coefficients are optimized to reduce the number of adder/subtractors using common subexpression elimination (CSE) algorithms. Based on the modified filter coefficients, the two structures fully direct form and hybrid-II form 2D FIR filter architectures are implemented using CSD and CSD with Horizontal CSE and Vertical CSE techniques. The proposed architectures compared with the conventional symmetry 2D filters and state-of-the-art architectures in terms of area, power, and speed.

中文翻译：

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低复杂度循环对称二维 FIR 滤波器架构的设计与实现

本文介绍了一种低复杂度的二维 (2D) 圆形对称有限脉冲响应 (FIR) 滤波器设计和架构实现。优化的圆形对称 2D FIR 滤波器使用改进的 Park-McClellan 变换方法设计，滤波器系数使用规范有符号数字 (CSD) 二进制数格式进行量化。使用通用子表达式消除 (CSE) 算法优化 CSD 编码系数以减少加法器/减法器的数量。基于修改后的滤波器系数，使用 CSD 和 CSD 以及水平 CSE 和垂直 CSE 技术实现了两种结构的完全直接形式和混合 II 形式的 2D FIR 滤波器架构。所提出的架构与传统的对称二维滤波器和最先进的架构在面积、功率、