Fast Fourier Transform

GPTKB entity

Statements (103)
Predicate Object
gptkbp:instanceOf gptkb:algorithm
gptkb:transformation
gptkbp:abbreviation gptkb:FFT
gptkb:DST
gptkbp:alternativeName Discrete_Sine_Transform
fast_Fourier_transform_algorithm
gptkbp:application data compression
image processing
audio signal processing
spectral analysis
audio signal analysis
solving partial differential equations
video coding
audio coding
image coding
gptkbp:basisFor sine function
gptkbp:category numerical analysis
digital signal processing
gptkbp:complexity O(N log N)
O(n log n)
gptkbp:computes gptkb:Discrete_Fourier_Transform
gptkbp:field gptkb:mathematics
gptkb:signal_processing
computer science
numerical analysis
image processing
gptkbp:firstDescribed 1974
gptkbp:form orthogonal transform
energy compaction
real-valued output
gptkbp:hasType gptkb:DST-I
gptkb:DST-II
gptkb:DST-III
gptkb:DST-IV
https://www.w3.org/2000/01/rdf-schema#label Fast Fourier Transform
gptkbp:input complex numbers
finite sequence
gptkbp:introduced gptkb:John_Tukey
gptkb:James_Cooley
gptkbp:introducedIn 1965
gptkbp:inventedBy gptkb:Cooley
gptkb:Tukey
gptkb:Nasir_Ahmed
gptkbp:inverseTransform Inverse Discrete Sine Transform
gptkbp:notableFor 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:output frequency components
finite sequence
gptkbp:purpose compute discrete Fourier transform efficiently
efficient computation of DFT
gptkbp:relatedStandard gptkb:JPEG
gptkb:MPEG
gptkbp:relatedTo gptkb:Fourier_Transform
gptkb:discrete_Fourier_transform
gptkb:Discrete_Fourier_Transform
gptkb:Bluestein's_algorithm
gptkb:Cooley–Tukey_algorithm
gptkb:chirp_z-transform
gptkb:Discrete_Cosine_Transform
gptkb:Inverse_Fast_Fourier_Transform
radix-2 algorithm
inverse fast Fourier transform
gptkbp:type gptkb:algorithm
divide and conquer algorithm
gptkbp:usedFor data compression
solving partial differential equations
spectral methods
gptkbp:usedIn gptkb:astronomy
gptkb:machine_learning
gptkb:radar
acoustics
audio engineering
biomedical engineering
cryptography
seismology
speech recognition
telecommunications
wireless communications
audio compression
image compression
pattern recognition
speech synthesis
medical imaging
music analysis
vibration analysis
image filtering
modulation analysis
gptkbp:bfsParent gptkb:FFT
gptkb:Fourier_Transform
gptkb:Schönhage–Strassen_algorithm
gptkb:Particle_Mesh_Ewald
gptkb:Smooth_Particle_Mesh_Ewald
gptkb:Digital_Signal_Processing
gptkb:Radix-2_algorithm
gptkb:Radix-4_algorithm
gptkb:Cooley-Tukey_algorithm
gptkb:Radix-2_FFT
gptkb:Discrete_Cosine_Transform
gptkbp:bfsLayer 6