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=== Other polynomial windows ===
==== Welch window ====
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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|sine window]], and just as the [[#Power-of-sine/cosine windows|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. If different exponents are used on the two factors in the Welch polynomial, the result is a general beta distribution, which is useful for making [[#Asymmetric window functions|asymmetric window functions]].
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