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convolution theorem

   Also found in: Wikipedia 0.01 sec.
convolution theorem [‚kän·və′lü·shən ‚thir·əm]
(mathematics)
A theorem stating that, under specified conditions, the integral transform of the convolution of two functions is equal to the product of their integral transforms.


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Basically, the scheme utilises the convolution theorem in the following three informal steps: 1.
9), we take the Laplace transform of its both sides and then apply the well known convolution theorem for the Laplace transform to the left hand side, we easily obtain the following result with the help of (1.
The implementation of the FFT is delicate in ways not mentioned here, but the central idea derives from the convolution theorem.
 
 
 
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