I'm having a bit of an issue working out the following problem $\displaystyle p(t) =$ $\displaystyle 1, for |t|<= 0.5$ $\displaystyle 0, for |t| > 0.5$ Can someone give me some help with this please?
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Originally Posted by jezzyjez I'm having a bit of an issue working out the following problem $\displaystyle p(t) =$ $\displaystyle 1, for |t|<= 0.5$ $\displaystyle 0, for |t| > 0.5$ Can someone give me some help with this please? $\displaystyle \hat{f}(\xi) = \int_{-\infty}^{\infty} p(t) e^{-2\pi i \xi t} dt$ $\displaystyle = \int_{-0.5}^{0.5} e^{-2\pi i \xi t} dt$. can ya finish..?
Originally Posted by Deadstar $\displaystyle \hat{f}(\xi) = \int_{-\infty}^{\infty} p(t) e^{-2\pi i \xi t} dt$ $\displaystyle = \int_{-0.5}^{0.5} e^{-2\pi i \xi t} dt$. can ya finish..? Does it work through to $\displaystyle \frac {\sin \pi \omega}{2 \pi \omega}$?
Originally Posted by jezzyjez Does it work through to $\displaystyle \frac {\sin \pi \omega}{2 \pi \omega}$? I got $\displaystyle \frac{\sin(\pi \xi)}{\pi \xi}$ (by the way latex for $\displaystyle \xi$ is \xi.)
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