- #1
sleventh
- 64
- 0
fourier transform of the gaussian (1/[tex]\sqrt{2 pi \sigma}[/tex]) e ^ ([tex]^{x^2/2\sigma^2}[/tex])
now the Fourier of a gaussian is said to equal another gaussian as shown by equation (4) here:
http://mathworld.wolfram.com/FourierTransform.html
but when i also did it using equation (1) here:
http://mathworld.wolfram.com/FourierTransform.html
i find a completely different answer.
im wondering how i am doing the calculations wrong using the normal definition of Fourier transforms.
fourier transforms are very new to me so any help is much appreciated thank you.
now the Fourier of a gaussian is said to equal another gaussian as shown by equation (4) here:
http://mathworld.wolfram.com/FourierTransform.html
but when i also did it using equation (1) here:
http://mathworld.wolfram.com/FourierTransform.html
i find a completely different answer.
im wondering how i am doing the calculations wrong using the normal definition of Fourier transforms.
fourier transforms are very new to me so any help is much appreciated thank you.