Speeding-up fast fourier transform

Abstract

This work proposes a restructure of FFT algorithm to be more hardware friendly. The proposed algorithm is modeled as a combinatorial optimization problem. This paper presents two sub-optimal schemes of the proposed FFT restructure: one-stage and two-stage optimization. The proposed FFT algorithm is applied on 1024-point Radix-2 Single-Path Delay Feedback (R2SDF) architecture. The one-stage and two-stage optimization schemes achieve reduction in the multipliers area by 40.8% and 62.5%, respectively, compared with the conventional algorithm.