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A stepwise approach to computing the multidimensional fast Fourier transform of large arrays

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1 Author(s)
Anderson, G. ; Exxon Production Research Company, Houston, TX

We consider the problem of performing a two-dimensional fast Fourier transform (FFT) on a very large matrix in limited core memory. We propose a decomposition of the Cooley-Tukey algorithm to allow efficient utilization of core memory and mass storage. The number of input/output operations is greatly reduced, with no increase in the computational burden. The method is suitable for nonsquare matrices and arrays of three or more dimensions.

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Acoustics, Speech and Signal Processing, IEEE Transactions on  (Volume:28 ,  Issue: 3 )