Dual-Butterfly Parallel Access Constant Geometry Pipeline Radix-2 FNT Algorithm

Abstract

A dual-butterfly parallel access constant geometry pipeline radix-2 FNT (Fermat Number Transform) is proposed to enhance the computing performance of FNT. By the extending the conventional constant geometry FNT, two radix-2 butterflies could be calculated simultaneously in each stage, and the address generating method for parallel access without conflicts is deduced to make the dual-butterfly’s four operators fetched and stored at the same time. Compared with other single data stream FNT, the efficiency is enhanced by 3 times. Compared with the traditional convolution and the convolution based on conventional FNT, the convolution based on the proposed algorithm has the advantage in computing efficiency, which also indicates the efficiency of the proposed algorithm.