Difference between revisions of "Dictionary:Hamming function"
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{{#category_index:H|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. | (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. | ||
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The Hamming function (different from the [[Dictionary:Hanning_function|''Hanning function'']] ) is | The Hamming function (different from the [[Dictionary:Hanning_function|''Hanning function'']] ) is | ||
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<center><math>0.54+0.46 \cos{\phi, \quad -\pi < \phi < \phi}</math>,</center> | <center><math>0.54+0.46 \cos{\phi, \quad -\pi < \phi < \phi}</math>,</center> | ||
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<center><math>0,\quad \phi<-\pi\text{ or }\phi > \pi </math>,</center> | <center><math>0,\quad \phi<-\pi\text{ or }\phi > \pi </math>,</center> | ||
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where <math>\phi</math> increases linearly from <math>-\pi</math> to <math>\pi</math> across the window. For the ''k''th element out of ''n'' elements within the window, <math>\phi=2\pi k/(n+1) + \pi</math>. | where <math>\phi</math> increases linearly from <math>-\pi</math> to <math>\pi</math> across the window. For the ''k''th element out of ''n'' elements within the window, <math>\phi=2\pi k/(n+1) + \pi</math>. | ||
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[[File:Segw12.jpg|center|thumb|600px|FIG. W-12. <b>Windows</b> in the time and frequency domains. (<b>a</b>) Window shapes in time-domain. (<b>b</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.]] | [[File:Segw12.jpg|center|thumb|600px|FIG. W-12. <b>Windows</b> in the time and frequency domains. (<b>a</b>) Window shapes in time-domain. (<b>b</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.]] | ||
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Named after R. W. Hamming. | Named after R. W. Hamming. | ||
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Latest revision as of 21:07, 19 July 2016
(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
where increases linearly from to across the window. For the kth element out of n elements within the window, .
Named after R. W. Hamming.
External links
| find literature about Hamming function |
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