Bump Window

$$w(t)= \begin{cases} e^{-\frac{1}{1-t^2}} & \vert t\vert<1, \\ 0 & \textrm{otherwise} \end{cases}$$

• Infinitely differentiable everywhere (then sample)
• Roll-off rate unbounded (faster than any polynomial)
• Aliasing progressively slows the decay