Window function: Difference between revisions

Revision as of 20:41, 26 August 2023

Revision as of 20:07, 1 October 2023

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==== Generalized adaptive polynomial (GAP) window ====

The GAP window<ref name=Justo/> is a family of adjustable window functions that are based on a symmetrical polynomial expansion of order <math>K</math>. It is continuous with continuous derivative everywhere. With the appropriate set of expansion coefficients and expansion order, the GAP window can mimic all the known window functions, reproducing accurately their spectral properties.

:<math>w_0[n] = a_{0} + \sum_{k=1}^{K} a_{2k}\left(\frac{n}{\sigma}\right)^{2k}, \quad -\frac{N}{2} \le n \le \frac{N}{2},</math> &nbsp;<ref name=Beccaro/>

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{{cite journal |last1=Justo |first1=J. F. |last2=Beccaro |first2=W. |title= Generalized Adaptive Polynomial Window Function |journal=IEEE Access |date=2020-10-26 |volume=8 |pages=187584–187589 |doi=10.1109/ACCESS.2020.3030903|s2cid=225050036 |doi-access=free }}</ref>

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