Statements (22)
| 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:relatedTo |
gptkb:Wiener–Khinchin_theorem
gptkb:Fourier_transform gptkb:Parseval's_theorem gptkb:Plancherel_theorem Convolution |
| gptkbp:state |
The Fourier transform of a product is the convolution of the Fourier transforms
The Fourier transform of a convolution is the pointwise product of the Fourier transforms |
| gptkbp:usedIn |
gptkb:Probability_theory
Image processing Electrical engineering Linear systems analysis |
| gptkbp:bfsParent |
gptkb:Continuous_Fourier_Transform
|
| gptkbp:bfsLayer |
7
|