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4.3.6 Real-to-Real Transform Kinds

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FFTW currently supports 11 different r2r transform kinds, specified by Chris@82: one of the constants below. For the precise definitions of these Chris@82: transforms, see What FFTW Really Computes. For a more colloquial Chris@82: introduction to these transform kinds, see More DFTs of Real Data. Chris@82:

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For dimension of size n, there is a corresponding “logical” Chris@82: dimension N that determines the normalization (and the optimal Chris@82: factorization); the formula for N is given for each kind below. Chris@82: Also, with each transform kind is listed its corrsponding inverse Chris@82: transform. FFTW computes unnormalized transforms: a transform followed Chris@82: by its inverse will result in the original data multiplied by N Chris@82: (or the product of the N’s for each dimension, in Chris@82: multi-dimensions). Chris@82: Chris@82:

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