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Next: Parzen Window Up: Window Definitions Previous: Bartlett Window

Welch Window

Another quite simple window, which uses only polynomials, is the Welch window.

\textrm{Welch}(x,\tau)=\left \{ \begin{array}{cl}
...\vert x\vert < \tau$}\\
0 & \textrm{else}
\end{array} \right.
\end{displaymath} (7)

Its frequency response is better than that of the Bartlett windowed cosc function below $\pi$, but it shows again a rather distinctive bump above.