IEEE Transactions on Computers · 1974 · 265 citations · 13 references
EngineeringComputer EngineeringComputer ScienceAlgorithmsComputer ArchitectureTheory Of ComputationDigital Signal ProcessingFourier AnalysisHardware AccelerationComplexityCordic AlgorithmsData Processing AlgorithmsFast Fourier TransformFourier TransformFourier Transform TheoryFrequency Domain ProcessingTransform
The CORDIC iteration is applied to several Fourier transform algorithms. The number of operations is found as a function of transform method and radix representation. Using these representations, several hardware configurations are examined for cost, speed, and complexity tradeoffs. A new, especially attractive FFT computer architecture is presented as an example of the utility of this technique. Compensated and modified CORDIC algorithms are also developed.
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An algorithm for the machine calculation of complex Fourier series
J.W. Cooley, John W. Tukey · Mathematics of Computation · 1965 · 12.2K citations
A unified algorithm for elementary functions
John Stephen Walther · 1971 · 1K citations · Full text
W. Morven Gentleman, Gordon Sande · 1966 · 522 citations · Full text