Efficient Software Implementation of the Nearly Optimal Sparse Fast Fourier Transform for the Noisy Case

Abstract

In this paper we present an optimized software implementation (sFFT-4.0)of the recently developed Nearly Optimal Sparse Fast Fourier Transform (sFFT) algorithm for the noisy case. First, we developed a modified versionof the Nearly Optimal sFFT algorithm for the noisy case, this modified algorithm solves the accuracy issues of the original version by modifying theflat window and the procedures; and second, we implemented the modifiedalgorithm on a multicore platform composed of eight cores. The experi-mental results on the cluster indicate that the developed implementation isfaster than direct calculation using FFTW library under certain conditions of sparseness and signal size, and it improves the execution times of previous implementations like sFFT-2.0. To the best knowledge ofthe authors,the developed implementation is the first one of the Nearly Optimal sFFT algorithm for the noisy case.