Difference between revisions of "Bark"

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<math>Bark = 13 \cdot \arctan{\left( \frac{0.76f}{1000} \right)} + 3.5 \cdot \arctan{\left( \frac{f} {7500} \right)^2}</math>
 
<math>Bark = 13 \cdot \arctan{\left( \frac{0.76f}{1000} \right)} + 3.5 \cdot \arctan{\left( \frac{f} {7500} \right)^2}</math>
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[[Image:Cribands.png|none|frame|Figure: Human hearing critical bands versus Layer 3 32 equal width subbands]]
 
[[Image:Cribands.png|none|frame|Figure: Human hearing critical bands versus Layer 3 32 equal width subbands]]
  
Example: Widths of the [[critical band|critical bands]] gets wider towards the higher [[frequency|frequencies]]. [[MP3]] 32 equal width [[subband|subbands]] (shown on top), based upon PQF filterbank cover the 22.05kHz [[bandwidth]]. The width of 1 [[MP3]] [[subband]] is about <math>689Hz (32*689=22.05kHz)</math>. [[Ogg Vorbis]] uses Bark scale mapping in it's filterbank decomposition. Both Bark and ERB bilinear transforms are equivalent in representing the critical bands of human auditory system.  
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Example: Widths of the [[critical band|critical bands]] gets wider towards the higher [[frequency|frequencies]]. [[MP3]] 32 equal width [[subband|subbands]] (shown on top), based upon PQF filterbank cover the 22.05kHz [[bandwidth]]. The width of 1 [[MP3]] [[subband]] is about <math> 689Hz (32*689=22.05kHz)</math>. [[Ogg Vorbis]] uses Bark Scale mapping in it's filterbank decomposition. Both Bark and ERB bilinear transforms are equivalent in representing the critical bands of human auditory system.  
  
 
==Additional reading:==
 
==Additional reading:==

Revision as of 16:15, 17 January 2006

The 'Bark is the standard unit corresponding to one of the 24 critical bands representing the width of human hearing system. Human hearing critical bands are narrow at low frequencies, but become wider at higher frequencies.

(in Hz) 0, 100, 200, 300, 400, 510, 630, 770, 920, 1080, 1270, 1480, 1720, 2000, 2320, 2700, 3150, 3700, 4400, 5300, 6400, 7700, 9500, 12000, 15500

converting a f to it's bark equivalent:

Bark = 13 \cdot \arctan{\left( \frac{0.76f}{1000} \right)} + 3.5 \cdot \arctan{\left( \frac{f} {7500} \right)^2}


Figure: Human hearing critical bands versus Layer 3 32 equal width subbands

Example: Widths of the critical bands gets wider towards the higher frequencies. MP3 32 equal width subbands (shown on top), based upon PQF filterbank cover the 22.05kHz bandwidth. The width of 1 MP3 subband is about  689Hz (32*689=22.05kHz). Ogg Vorbis uses Bark Scale mapping in it's filterbank decomposition. Both Bark and ERB bilinear transforms are equivalent in representing the critical bands of human auditory system.

Additional reading: