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→Asymmetric window functions: beta makes more sense here than gamma |
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The defining [[quadratic polynomial]] reaches a value of zero at the samples just outside the span of the window.
The Welch window is fairly close to the sine window, and just as the power-of-sine windows are a useful parameterized family, the power-of-Welch window family is similarly useful. Powers of the Welch or parabolic window are also [[Pearson type II distribution]]s and symmetric [[beta distribution]]s, and are purely algebraic functions (if the powers are rational), as opposed to most windows that are transcendental functions.
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