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Design and implementation of low complexity circularly symmetric 2D FIR filter architectures

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Abstract

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.

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Correspondence to Venkata Krishna Odugu.

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Odugu, V.K., Venkata Narasimhulu, C. & Satya Prasad, K. Design and implementation of low complexity circularly symmetric 2D FIR filter architectures. Multidim Syst Sign Process 31, 1385–1410 (2020). https://doi.org/10.1007/s11045-020-00714-3

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