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Bartlett Window

A Bartlett Window is simply a tent function, i.e.

\textrm{Bartlett}(x,\tau)=\left \{ \begin{array}{cl}
1 - \fr...
...\vert x\vert < \tau$}\\
0 & \textrm{else}
\end{array} \right.
\end{displaymath} (6)

The frequency response approaches zero more smoothly but does not approximate the ideal frequency response below $\pi$ as good as the truncated cosc function. This rather simple windowing function, although said to be sufficient in the Numerical Recipes in C (used in another context) [17], performs quite poor when used for gradient reconstruction.