1997 | Supplement | Buchkapitel
Cooley—Tukey and Good—Thomas
verfasst von : Richard Tolimieri, Myoung An, Chao Lu
Erschienen in: Mathematics of Multidimensional Fourier Transform Algorithms
Verlag: Springer New York
Enthalten in: Professional Book Archive
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The abstract definition of the Fourier transform and the statement of Fourier transform duality as expressed by the periodization-decimation results of chapter 4 provide a unifying principle underlying most 1-dimensional and multidimensional FFTs. The C-T FFTs of chapters 1 and 2 are expressions of this duality. In [1], a vector-radix FFT was derived, extending this duality relative to groups of affine motions on the indexing set. This class of FFT is highly parallelizable.