Fourier Analysis

GPTKB entity

Statements (51)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo Signals
Functions
gptkbp:basisFor Complex exponentials
Cosine functions
Sine functions
gptkbp:developedBy 19th century
gptkbp:field gptkb:Mathematics
gptkb:Physics
gptkb:signal_processing
Engineering
gptkbp:generalizes gptkb:Trigonometric_series
Fourier series
gptkbp:hasApplication gptkb:Optics
gptkb:Probability_theory
gptkb:Control_theory
gptkb:Acoustics
gptkb:Quantum_mechanics
Astronomy
Economics
Telecommunications
Statistics
Speech recognition
Cryptography
Communications
Electrical engineering
Medical imaging
Radar
Heat transfer
Music analysis
Seismology
Weather forecasting
Vibration analysis
https://www.w3.org/2000/01/rdf-schema#label Fourier Analysis
gptkbp:includes gptkb:Fourier_transform
gptkb:Discrete_Fourier_transform
gptkb:Fast_Fourier_transform
Fourier series
gptkbp:namedAfter gptkb:Joseph_Fourier
gptkbp:relatedTo gptkb:Laplace_transform
gptkb:Wavelet_transform
Harmonic analysis
Spectral analysis
gptkbp:usedFor Audio processing
Image processing
Data compression
Frequency analysis
Solving partial differential equations
Decomposing functions into sinusoids
gptkbp:bfsParent gptkb:Harmonic_Oscillator
gptkbp:bfsLayer 7