Parzen Window

The Parzen window is a piece-wise cubic approximation of the Gaussian Window of extend two. It is the only window, that is discussed in this paper, that is fixed to a certain width.

$$\textrm{Parzen}(x)=\frac{1}{4}\left \{ \begin{array}{cl} (2 ... ...extrm{$1 \leq x < 2$}\\ 0 & \textrm{else} \end{array} \right.$$ (8)

However, its frequency response is not really promising for it is worse than that of the Bartlett windowed cosc function (generally, when compared to all other frequency responses, it approximates the ideal one most poorly above $\pi$ and is not really good below).