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{\bf \large 
		Digital Fourier Transform of a pulse.
}
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{\bf IN PREPARATION}

The Digital Fourier Transform pair is given by:

\[
F(u) = \frac{1}{N} \Sigma_{x=0}^{N-1} f(x) e^{-j\frac{2\pi}{N}ux} 
\]
\\
\[
f(x) = \Sigma_{u=0}^{N-1} F(u) e^{j\frac{2\pi}{N}ux}
\]
\\
Given the pulse signal described as:

\[
F(u) = \frac{1}{128} e^{-j\frac{\pi}{2}u} \frac{\sin{65\pi u/128 }}{\sin{\pi u/128}}
\]

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