Lanczos Window

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

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