Cooley-Tukey FFT algorithm

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:algorithm gptkb:Fast_Fourier_Transform
gptkbp:category	Fourier analysis Numerical algorithms Signal processing algorithms
gptkbp:complexity	O(N log N)
gptkbp:field	numerical analysis digital signal processing
gptkbp:generalizes	gptkb:fast_Fourier_transform
gptkbp:hasRadixVariants	mixed-radix radix-2 radix-4
https://www.w3.org/2000/01/rdf-schema#label	Cooley-Tukey FFT algorithm
gptkbp:implementedIn	gptkb:MATLAB gptkb:CUFFT gptkb:FFTW gptkb:Intel_MKL gptkb:KissFFT gptkb:NumPy gptkb:SciPy gptkb:FFTPACK
gptkbp:input	sequence of complex numbers
gptkbp:introducedIn	1965
gptkbp:inventedBy	gptkb:John_Tukey gptkb:James_Cooley
gptkbp:method	divide and conquer
gptkbp:notablePublication	gptkb:An_algorithm_for_the_machine_calculation_of_complex_Fourier_series 1965
gptkbp:output	discrete Fourier transform of input
gptkbp:purpose	efficient computation of discrete Fourier transform
gptkbp:relatedTo	gptkb:Fourier_transform gptkb:Bluestein's_FFT_algorithm gptkb:Discrete_Fourier_transform gptkb:Winograd_FFT_algorithm Prime-factor FFT algorithm
gptkbp:type	radix-2 algorithm
gptkbp:usedIn	communications data compression image processing audio signal processing spectral analysis
gptkbp:bfsParent	gptkb:Rader's_FFT gptkb:Radix-2_FFT
gptkbp:bfsLayer	6