Bark - Revision history

HotshotGG: /* References */

2007-02-17T19:43:12Z

References

← Older revision		Revision as of 19:43, 17 February 2007
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	==References==		==References==

	* [http://citeseer.ist.psu.edu/smith99bark.html ~~Bark and ERB Bilinear Transforms~~, Julius O. ~~Smith and Johnathen Abel~~ (~~1999~~)]		* Smith, O. Julius. Abel, Johnathen. "Bark and ERB Bilinear Transforms". Dec 1999
	* [http://ccrma.stanford.edu/~jos/bbt/Bark_Frequency_Scale.html ~~The Bark Frequency Scale (condensed), Julius O. Smith~~ (~~2005~~)]		:<http://citeseer.ist.psu.edu/smith99bark.html> (17 Feb 2007)
			* Smith, O. Julius. "The Bark Frequency Scale (condensed)". 3 Jan. 2006.
			:<http://ccrma.stanford.edu/~jos/bbt/Bark_Frequency_Scale.html> (17 Feb 2007)

	[[Category:Psychoacoustics]]		[[Category:Psychoacoustics]]

HotshotGG at 22:33, 7 September 2006

2006-09-07T22:33:20Z

← Older revision		Revision as of 22:33, 7 September 2006
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	* [http://citeseer.ist.psu.edu/smith99bark.html Bark and ERB Bilinear Transforms, Julius O. Smith and Johnathen Abel (1999)]		* [http://citeseer.ist.psu.edu/smith99bark.html Bark and ERB Bilinear Transforms, Julius O. Smith and Johnathen Abel (1999)]
	* [http://ccrma.stanford.edu/~jos/bbt/Bark_Frequency_Scale.html The Bark Frequency Scale (condensed), Julius O. Smith (2005)]		* [http://ccrma.stanford.edu/~jos/bbt/Bark_Frequency_Scale.html The Bark Frequency Scale (condensed), Julius O. Smith (2005)]

			[[Category:Psychoacoustics]]

HotshotGG at 10:02, 2 September 2006

2006-09-02T10:02:42Z

← Older revision		Revision as of 10:02, 2 September 2006
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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.		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:~~==		==References==

	* [http://citeseer.ist.psu.edu/smith99bark.html Bark and ERB Bilinear Transforms, Julius O. Smith and Johnathen Abel (1999)]		* [http://citeseer.ist.psu.edu/smith99bark.html Bark and ERB Bilinear Transforms, Julius O. Smith and Johnathen Abel (1999)]
	* [http://ccrma.stanford.edu/~jos/bbt/Bark_Frequency_Scale.html The Bark Frequency Scale (condensed), Julius O. Smith (2005)]		* [http://ccrma.stanford.edu/~jos/bbt/Bark_Frequency_Scale.html The Bark Frequency Scale (condensed), Julius O. Smith (2005)]

HotshotGG: I have seen two ways to write the equation. This one should be fine. The Bark ranges might be well suited organized into a table.

2006-01-17T17:47:56Z

I have seen two ways to write the equation. This one should be fine. The Bark ranges might be well suited organized into a table.

← Older revision		Revision as of 17:47, 17 January 2006
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	converting a ''f'' to it's bark equivalent:		converting a ''f'' to it's bark equivalent:

	<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{0.0076f}{1000} \right)} + 3.5 \cdot \arctan{\left( \frac{f} {7500} \right)^2}</math>

HotshotGG at 16:20, 17 January 2006

2006-01-17T16:20:32Z

← Older revision		Revision as of 16:20, 17 January 2006
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	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 [[frequency\|frequencies]], but become wider at higher [[frequency\|frequencies]].		The ''Bark'' is the standard unit corresponding to one of the 24 [[critical band\|critical bands]] representing the width of human hearing system. Human hearing critical bands are narrow at low [[frequency\|frequencies]], but become wider at higher [[frequency\|frequencies]].

	''(in Hz) <math>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 </math>''		''(in Hz) <math>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 </math>''

HotshotGG at 16:18, 17 January 2006

2006-01-17T16:18:23Z

← Older revision		Revision as of 16:18, 17 January 2006
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	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 [[frequency\|frequencies]], but become wider at higher [[frequency\|frequencies]].		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 [[frequency\|frequencies]], but become wider at higher [[frequency\|frequencies]].

	''(in Hz) <math>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 </math>''		''(in Hz) <math>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 </math>''

	converting a ''f'' to it's bark equivalent:		converting a ''f'' to it's bark equivalent:

	<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>

HotshotGG at 16:15, 17 January 2006

2006-01-17T16:15:21Z

← Older revision		Revision as of 16:15, 17 January 2006
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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>


	[[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.		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:==

Jan at 14:13, 17 January 2006

2006-01-17T14:13:04Z

← Older revision		Revision as of 14:13, 17 January 2006
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	''(in Hz) <math>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 </math>''		''(in Hz) <math>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 </math>''

	converting a ''f'' to it's bark equivalent:		converting a ''f'' to it's bark equivalent:

	<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>

Jan: Made the LaTex a little more pretty

2006-01-17T14:12:54Z

Made the LaTex a little more pretty

← Older revision		Revision as of 14:12, 17 January 2006
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	converting a ''f'' to it's bark equivalent:		converting a ''f'' to it's bark equivalent:
			<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{(\frac{0.76f}{1000})} + 3.5 \cdot \arctan{(\frac{f} {7500})^2}</math>

	[[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]]

Jan at 14:05, 17 January 2006

2006-01-17T14:05:33Z

← Older revision		Revision as of 14:05, 17 January 2006
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	converting a ''f'' to it's bark equivalent:		converting a ''f'' to it's bark equivalent:

	<math>Bark = 13\arctan{(0.76f ~~\div~~ 1000)} + 3.5\arctan{((f ~~\div~~ 7500)^2)}</math>		<math>Bark = 13 \cdot \arctan{(\frac{0.76f}{1000})} + 3.5 \cdot \arctan{(\frac{f} {7500})^2}</math>

	[[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]]