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

[PLAIN]http://img600.imageshack.us/img600/161/parcq.png [Broken]

2. Relevant equations

Parseval's Theorem using FT's for this is [itex]∫^{\infty}_{-\infty}[/itex] [itex]|f(t)|^{2}[/itex]dx = [itex]∫^{\infty}_{-\infty}[/itex] [itex]|\tilde{f}(w)|^{2}[/itex]dw

3. The attempt at a solution

From what I know, the fourier transform of f(t) = [itex]e^{-a|t|}[/itex] is [itex]\tilde{f} (w) = \frac{2a}{w^{2}+a^{2}}[/itex]

So for my answer I would simply evaluate [itex]∫^{\infty}_{-\infty}[/itex] [itex]|f(t)|^{2}[/itex]dx for f(t) = [itex]e^{-a|t|}[/itex]

However in the question there is no "2a" term on the top so I'm confused as how to proceed

[itex]|\tilde{f}(w)|^{2}[/itex] does not equal [itex]\frac{dw}{w^{2}+a^{2}}[/itex] as given in the question where [itex]\tilde{f} (w) = \frac{2a}{w^{2}+a^{2}}[/itex]

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# Homework Help: Parseval's Relation w/ Fourier Transform

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