(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi, I need to find the Fourier Transform of: [tex]g(t)=\frac{1}{x}e^{\frac{-\pi t^2}{x^2}}[/tex]

2. Relevant equations

[tex]G(f)=\int_{-\infty}^{\infty }g(t)e^{-j2\pi ft}dt

\therefore

G(f)=\int_{-\infty}^{\infty }\frac{1}{x}e^{\frac{-\pi t^2}{x^2}-j2\pi ft}dt[/tex]

3. The attempt at a solution

[tex]G(f)=\frac{1}{x}[\frac{x^2e^{-t(\frac{\pi t}{x^2}+j2\pi f)}}{-2\pi t-j2\pi fx^2}] (limits:t=\infty,t=-\infty)[/tex]

If you sub in t=infinity or t=-infinity, both will give you 0 because t is on the denominator.

Thanks for the help in advance! :)

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# Homework Help: Fourier Transform and Infinity Problem

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