Hann and Hamming Window

The Hann (due to Julius van Hann, often wrongly referred to as Hanning window [20], sometimes just cosine bell window) and Hamming window are quite similar, they only differ in the choice of one parameter $\alpha$:

$$\textrm{H}(x,\tau,\alpha)=\left \{ \begin{array}{cl} \alpha ... ...\vert x\vert < \tau$}\\ 0 & \textrm{else} \end{array} \right.$$ (9)

with $\alpha=\frac{1}{2}$ being the Hann window and $\alpha=0.54$ the Hamming Window. The Hamming window also has the disadvantage of being discontinuous at the edges (and has therefore a, however not so severe, bump above $\pi$), which leads to clearly visible artifacts in the images.