fast Fourier transform (FFT)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:algorithm
gptkbp:application	data compression image processing spectral analysis audio signal analysis solving partial differential equations
gptkbp:category	Fourier analysis applied mathematics computational mathematics data analysis engineering physics statistics time series analysis numerical linear algebra digital electronics algorithmic efficiency frequency analysis
gptkbp:complexity	O(N log N)
gptkbp:field	gptkb:mathematics gptkb:signal_processing computer science
https://www.w3.org/2000/01/rdf-schema#label	fast Fourier transform (FFT)
gptkbp:input	sequence of complex numbers
gptkbp:introducedIn	1965
gptkbp:inventedBy	gptkb:John_Tukey gptkb:James_Cooley
gptkbp:output	frequency components
gptkbp:purpose	compute discrete Fourier transform efficiently
gptkbp:relatedTo	gptkb:discrete_Fourier_transform_(DFT) gptkb:inverse_fast_Fourier_transform_(IFFT)
gptkbp:type	gptkb:algorithm
gptkbp:usedIn	gptkb:radar gptkb:JPEG_compression gptkb:MPEG_compression gptkb:OFDM_(orthogonal_frequency-division_multiplexing) communications seismology speech recognition wireless networks digital signal processing medical imaging music analysis
gptkbp:variant	gptkb:Bluestein's_FFT gptkb:Cooley-Tukey_algorithm gptkb:Rader's_FFT gptkb:Radix-2_FFT gptkb:Radix-4_FFT gptkb:Split-radix_FFT
gptkbp:bfsParent	gptkb:John_Tukey
gptkbp:bfsLayer	4