Convolution theorem
In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the pointwise 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.
Convolution theoremBispectrumChirp Z-transformCircular convolutionCoherence (physics)ConvoluteConvolutionConvolution for optical broad-beam responses in scattering mediaConvolution powerCross-correlationDFT matrixDebye–Waller factorDeconvolutionDielectricDirac combDirichlet convolutionDiscrete-time Fourier transformDiscrete Fourier transformDiscrete Fourier transform (general)DiscretizationDistribution (mathematics)Electric displacement fieldElectric susceptibilityFIR transfer functionFast Fourier transformFilter (signal processing)Finite impulse responseFourier analysisFourier inversion theoremFourier opticsFourier transformGabor filterHartley transformHilbert transformHusimi Q representationJohn Horvath (mathematician)Katchalski-Katzir algorithmKüpfmüller's uncertainty principleLaplace transformLaplace–Stieltjes transform
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Convolution theorem
In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the pointwise 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.
has abstract
Em matemática, o teorema da co ...... para multiplicação de funções.
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En matemàtica, el teorema de c ...... a de Fourier , podem escriure:
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En matemática, el teorema de c ...... de Fourier , podemos escribir:
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In matematica, il teorema di c ...... ell'ambito delle reti lineari.
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In mathematics, the convolutio ...... us Fourier-related transforms.
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卷积定理指出，函数卷积的傅里叶变换是函数傅里叶变换的乘积。即 ...... 后，总的计算复杂度为。这一结果可以在快速乘法计算中得到应用。
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label
Convolution theorem
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Teorema da convolução
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Teorema de convolució
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Teorema de convolución
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Teorema di convoluzione
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卷积定理
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title
Circular convolution
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Convolution theorem
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Em matemática, o teorema da co ...... recíproca também é verdadeira:
@pt
En matemàtica, el teorema de c ...... a de Fourier , podem escriure:
@ca
En matemática, el teorema de c ...... de Fourier , podemos escribir:
@es
In matematica, il teorema di c ...... ell'ambito delle reti lineari.
@it
In mathematics, the convolutio ...... us Fourier-related transforms.
@en
卷积定理指出，函数卷积的傅里叶变换是函数傅里叶变换的乘积。即 ...... 后，总的计算复杂度为。这一结果可以在快速乘法计算中得到应用。
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