Discrete Fourier Transform for 360/67 Computing System (Cooley-Tukey FFT Method).
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The paper describes a mathematical subroutine FORIER written for use on an IBM 360370 computing system. FORIER computes a discrete Fourier transform. The algorithm used evaluates the complex Fourier series for complex functions. It is a version of the Cooley-Tukey method adapted from the theory of I. J. Good, and modified to leave the transformed results in a non-permitted order. The time required to transform N complex samples utilizing this method is proportional to N log N, rather than N squared required for a discrete Fourier transform employing a direct summation. Author
- Theoretical Mathematics
- Computer Programming and Software