Blackman Window

The Blackman window is quite similar, too, to Hann and Hamming window, but it has one additional cosine term to further reduce the ripple ratio.

$$\textrm{Blackman}(x,\tau)=\left \{ \begin{array}{cl} 0.42+\f... ...\vert x\vert < \tau$}\\ 0 & \textrm{else} \end{array} \right.$$ (10)

Although its frequency response is slightly worse below $\pi$, it approaches zero more smoothly above and turns out to produce quite satisfying results.