fast Fourier transform (FFT)

URI: https://gptkb.org/entity/fast_Fourier_transform_(FFT)
GPTKB entity
AI-created image of fast Fourier transform (FFT)
AI-created image
Statements (51)
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