convolution theorem

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Laplace_transform
gptkb:Fourier_transform
gptkb:Z-transform
gptkbp:describes relationship between convolution and Fourier transform
gptkbp:field gptkb:mathematics
gptkb:signal_processing
Fourier analysis
https://www.w3.org/2000/01/rdf-schema#label convolution theorem
gptkbp:namedAfter convolution
gptkbp:relatedTo gptkb:Wiener–Khinchin_theorem
gptkb:Parseval's_theorem
gptkb:Plancherel_theorem
gptkbp:state Fourier transform of a convolution is the pointwise product of Fourier transforms
Fourier transform of a product is the convolution of Fourier transforms
gptkbp:used_in partial differential equations
image processing
filter design
linear systems analysis
gptkbp:bfsParent gptkb:Laplace_transform
gptkb:Fourier_transform
gptkb:Mellin_transform
gptkbp:bfsLayer 5