Window function: Difference between revisions

Revision as of 22:19, 21 May 2025

Revision as of 04:40, 22 May 2025

Line 528:

=== Asymmetric window functions ===

The <math>w_0(x)</math> form, according to the convention above, is symmetric around <math>x = 0</math>. However, there are window functions that are asymmetric, such as the [[Gammagamma distribution]] used in FIR implementations of [[Gammatonegammatone filter]]s. These asymmetries are used to reduce the delay when using large window sizes, or to emphasize the initial transient of a decaying pulse.{{citation needed|date=January 2023}}

Any [[bounded function]] with [[compact support]], including asymmetric ones, can be readily used as a window function. Additionally, there are ways to transform symmetric windows into asymmetric windows by transforming the time coordinate, such as with the below formula