Window Transform:

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$\displaystyle W_{BH}(\omega) = \sum_{k=-(L-1)}^{L-1}\alpha_k W_R(\omega + k\Omega_M)$

where $W_R(\omega) = M\cdot\hbox{asinc}_M(\omega)$ denotes the rectangular-window transform, and $\Omega_M = 2\pi/M$ .

Note that for , we obtain the rectangular window, and for , the BH family specializes to the generalized Hamming family.

written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.

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