Computational SIMD framework: split-radix SIMD-FFT algorithm, derivation, implementation and performance

A general framework to develop efficient single instruction multiple data (SIMD) compliant algorithms was previously proposed. In this paper a split-radix SIMD-FFT algorithm is derived under this framework and compared against the radix-2 SIMD-FFT algorithm, proven to have very efficient implementation. Regardless of the intrinsic irregular pattern present in the split-radix algorithm, it is shown that its performance improvement, when compared to the radix-2 algorithm, ranges from 2.5% up to 8.1%.