Recent content by malevolence19
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Fourier Transform of a Gaussian With Non-Zero Mean
Thank you. I always forget about these nice shifting formulae.- malevolence19
- Post #6
- Forum: Calculus and Beyond Homework Help
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Fourier Transform of a Gaussian With Non-Zero Mean
Ahhhh, nevermind I see it!- malevolence19
- Post #4
- Forum: Calculus and Beyond Homework Help
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Fourier Transform of a Gaussian With Non-Zero Mean
That's what I meant r=\sigma. I typed it in two different ways and I had them mixed up :/ And omitting the 1/sqrt(2 pi) gives me: \sqrt{\frac{\pi}{2 \sigma^2}}e^{-(\frac{\sigma^2 \omega^2}{2}+\sigma^2 i \omega)} They have the sigma in the numerator some how.- malevolence19
- Post #3
- Forum: Calculus and Beyond Homework Help
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Fourier Transform of a Gaussian With Non-Zero Mean
Homework Statement I am looking at finding the Fourier transform of: f(t)=\exp \left[ \frac{-(t-m)^2}{2 \sigma^2}\right] Homework Equations \hat{f}(t)=\frac{1}{\sqrt{2 \pi}} \int_{-\infty}^{\infty} f(t) e^{-i \omega t} dt The Attempt at a Solution I did it a little differently that my...- malevolence19
- Thread
- Fourier Fourier transform Gaussian Mean Transform
- Replies: 5
- Forum: Calculus and Beyond Homework Help