Apparatus for computing two-dimensional discrete Fourier transfo

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G06F 1531

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043285554

ABSTRACT:
An apparatus for computing the two-dimensional discrete Fourier transform (DFT) of an image comprised of N.times.N samples. The samples within each row are respectively multiplied by W.sup.-n.sbsp.1, n.sub.1 =0, 1, . . . , N-1 and stored in a memory 17. A device 20 derives therefrom N polynomials of N terms by means of a polynomial transform. The terms of each of these polynomials are multiplied by W.sup.n.sbsp.1 and a device 28 computes the one-dimensional DFT thereof, thereby providing the N.sup.2 terms of the transform of said image.

REFERENCES:
patent: 3952186 (1976-04-01), Speiser et al.
Nussbaumer "Implementation of Discrete Fourier Transforms with Polynomial Transforms" IBM Technical Disclosure Bulletin, vol. 21, No. 7 Dec. 78, pp. 2862-2865.
Quandalle "Multidimensional Discrete Fourier Transform Calculated Through Polynomial Transforms" IBM Technical Diclosure Bulletin, vol. 21, No. 7, Dec. 1978, pp. 2859-2861.

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