Dictionary:Hamming function

{{#category_index:H|Hamming function}}

(ham’ ∂ng) A function used to shape the cutoff of a window or gate in data processing to avoid the undesirable effects of sharp truncation.

The Hamming function (different from the Hanning function ) is

$0.54+0.46\cos {\phi ,\quad -\pi <\phi <\phi }$, $0,\quad \phi <-\pi {\text{ or }}\phi >\pi$,

where $\phi$ increases linearly from $-\pi$ to $\pi$ across the window. For the kth element out of n elements within the window, $\phi =2\pi k/(n+1)+\pi$.

FIG. W-12. Windows in the time and frequency domains. (a) Window shapes in time-domain. (b) Spectral shapes. The effective width of the boxcar is greater than that for the other window shapes and hence the central lobe is sharper.

Named after R. W. Hamming.

External links

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