Difference between revisions of "Dictionary:Hanning function"

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{{#category_index:H|Hanning function}}
 
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(han&#x2019; &#x2202;ng)  
 
(han&#x2019; &#x2202;ng)  
 
A function used to shape the cutoff of a window in data processing to avoid undesirable effects of sharp truncation:  
 
A function used to shape the cutoff of a window in data processing to avoid undesirable effects of sharp truncation:  
  
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<center><math>\frac{1}{2} + \frac{\cos{\phi}}{2}, \quad -\pi<\phi<\pi</math>,</center>
 
<center><math>\frac{1}{2} + \frac{\cos{\phi}}{2}, \quad -\pi<\phi<\pi</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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[[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 Julius von Hann (1839-1921), Austrian meteorologist. Slightly different from [[Dictionary:Hamming_function|''Hamming function'']] (q.v.).
 
Named after Julius von Hann (1839-1921), Austrian meteorologist. Slightly different from [[Dictionary:Hamming_function|''Hamming function'']] (q.v.).
  
==External links==
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Latest revision as of 16:10, 24 July 2016

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(han’ ∂ng) A function used to shape the cutoff of a window in data processing to avoid undesirable effects of sharp truncation:

,
.
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 Julius von Hann (1839-1921), Austrian meteorologist. Slightly different from Hamming function (q.v.).

External links

find literature about
Hanning function
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