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Lanczos Window

The Lanczos window is the central lobe of a sinc function scaled to a certain extend.

\textrm{Lanczos}(x,\tau)=\left \{ \begin{array}{cl}
...\vert x\vert < \tau$}\\
0 & \textrm{else}
\end{array} \right.
\end{displaymath} (11)

Turkowski [19] reported it being superior for two-dimensional image resampling tasks, i.e. using it to bound the sinc function. However, using it to bound the cosc function is also possible, although the frequency response shows a little bump above $\pi$.