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Fourier Transform operation does not agree with Wolfram Mathworld page

Posted 8 years ago
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Hi everyone,

I was wondering if anyone can shed any light on the following.

The request "Fourier transform of sin(2* pi * k *x)" seems to give an incorrect answer when compared to this website: http://mathworld.wolfram.com/FourierTransformSine.html

The answer given is as follows: enter image description here

When the website says the answer is: enter image description here

This error also occurs when cosine is used.

Could someone please explain where the root(pi) comes from?

POSTED BY: James Richardson
4 Replies

Hi,

you have to adjust the option FourierParameters, see documentation.

Henrik

POSTED BY: Henrik Schachner

Thank you very much.

James

POSTED BY: James Richardson

There are different conventions for the Fourier Transform regarding where the sqrt(2 pi ) goes.

POSTED BY: Frank Kampas

It also appears to give an incorrect answer for the fourier transform of exp(jwt). The answer it gives has a factor of root(2pi) which simply shouldn't be there! I should be 2pi.

POSTED BY: James Richardson
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