Computational complexity of the FFT in n dimensions

a 夏天 提交于 2019-11-26 21:54:04

问题


What is the computational complexity of the n-dimensional FFT with m points along each dimension?


回答1:


For a 1D FFT it's O(m log m).

For a 2D FFT you have to do m x 1D FFTs in each axis so that's O(2 m^2 log m) = O(m^2 log m).

It's too early in the morning here to get my head round n >= 3 but I'm guessing it's probably:

O(m^n log m)


来源:https://stackoverflow.com/questions/6514861/computational-complexity-of-the-fft-in-n-dimensions

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