Convolution theorem
Theorem that under suitable conditions the Fourier transform of a convolution of two signals is the pointwise product of their Fourier transforms
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Uncommon · Knowledge
Convolution theorem
Theorem that under suitable conditions the Fourier transform of a convolution of two signals is the pointwise product of their Fourier transforms
In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the product of their Fourier transforms. More generally, convolution in one domain (e.g., time domain) equals point-wise multiplication in the other domain (e.g., frequency domain).
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From Wikipedia
In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the product of their Fourier transforms. More generally, convolution in one domain (e.g., time domain) equals point-wise multiplication in the other domain (e.g., frequency domain). Other versions of the convolution theorem are applicable to various Fourier-related transforms.
Text: Wikipédia, CC BY-SA 4.0. ·
