Dimensionless Fast Fourier Transforms
نویسندگان
چکیده
This paper shows that there are fast Fourier transform (FFT) algorithms that work, for a fixed number of points, independent of the dimension. Changing the dimension is achieved by relabeling the input and the output and changing the “twiddle factors.” An important consequence of this result, is that a program designed to compute the 1-dimensional Fourier transform can be easily modified to compute the 2-dimensional and 3-dimensional Fourier transform on the same number of points.
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