The one "fastest" I know of is "Fastest Fourier Transform of the West". The abstract for the 1997 paper starts:
> This paper describes FFTW, a portable C package for computing the one- and multidimensional complex discrete Fourier transform (DFT). FFTW is typically faster than all other publicly available DFT software, including the well-known FFTPACK and the code from Numerical Recipes. More interestingly, FFTW is competitive with or better than proprietary, highly-tuned codes such as Sun’s Performance Library and IBM’s ESSL library.
If a "fastest" paper comes in with a good, robust benchmark and tests against the top performing and the most accepted implementations, then it would be worthwhile. And rare as hen's teeth.
> This paper describes FFTW, a portable C package for computing the one- and multidimensional complex discrete Fourier transform (DFT). FFTW is typically faster than all other publicly available DFT software, including the well-known FFTPACK and the code from Numerical Recipes. More interestingly, FFTW is competitive with or better than proprietary, highly-tuned codes such as Sun’s Performance Library and IBM’s ESSL library.
If a "fastest" paper comes in with a good, robust benchmark and tests against the top performing and the most accepted implementations, then it would be worthwhile. And rare as hen's teeth.