Programmer Guide/Command Reference/EVAL/hz2erb - Revision history

193.171.195.48 at 09:54, 21 April 2011

2011-04-21T09:54:28Z

← Older revision		Revision as of 11:54, 21 April 2011
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	::''x''<sub>i,j</sub> is the frequency in ERB and must be greater than 0		::''x''<sub>i,j</sub> is the frequency in ERB and must be greater than 0

	;See also: [[../hz2mel\|hz2mel, mel2hz]], [[../hz2bark\|hz2bark, bark2hz]], [[../hz2cent\|hz2cent, cent2hz]], [[..~~/EVAL~~/hth\|hth]], [[../log2lin\|lin2log, log2lin]]		;See also: [[../hz2mel\|hz2mel, mel2hz]], [[../hz2bark\|hz2bark, bark2hz]], [[../hz2cent\|hz2cent, cent2hz]], [[../hth\|hth]], [[../log2lin\|lin2log, log2lin]]

	[[../#Functions\|<function list>]]		[[../#Functions\|<function list>]]

193.171.195.48 at 09:53, 21 April 2011

2011-04-21T09:53:37Z

← Older revision		Revision as of 11:53, 21 April 2011
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	{{DISPLAYTITLE:hz2erb, erb2hz}}		{{DISPLAYTITLE:hz2erb, erb2hz}}
	Convert all elements of ''x'' from Hertz to ERB (equivalent rectangulare bandwidth) and vice versa.		Convert all elements of ''x'' from Hertz to ERB (equivalent rectangulare bandwidth) and vice versa.
	;Usage: ~~'''~~<code>hz2erb(<var>x</var>)</code>		;Usage: <code>hz2erb(<var>x</var>)</code>
	:~~'''~~<code>erb2hz(<var>x</var>)</code>		:<code>erb2hz(<var>x</var>)</code>
	:;<var>x</var>: a scalar, vector or matrix		:;<var>x</var>: a scalar, vector or matrix
	;Result: The result ''r'' has the same type as ''x'' and contains the converted elements of ''x''.		;Result: The result ''r'' has the same type as ''x'' and contains the converted elements of ''x''.
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	::''x''<sub>i,j</sub> is the frequency in ERB and must be greater than 0		::''x''<sub>i,j</sub> is the frequency in ERB and must be greater than 0

	;See also: [[~~Programmer_Guide/Command_Reference/EVAL~~/hz2mel\|hz2mel, mel2hz]], [[~~Programmer_Guide/Command_Reference/EVAL~~/hz2bark\|hz2bark, bark2hz]], [[~~Programmer_Guide/Command_Reference/EVAL~~/hz2cent\|hz2cent, cent2hz]], [[~~Programmer_Guide/Command_Reference~~/EVAL/hth\|hth]], [[~~Programmer_Guide/Command_Reference/EVAL~~/log2lin\|lin2log, log2lin]]		;See also: [[../hz2mel\|hz2mel, mel2hz]], [[../hz2bark\|hz2bark, bark2hz]], [[../hz2cent\|hz2cent, cent2hz]], [[../EVAL/hth\|hth]], [[../log2lin\|lin2log, log2lin]]

	[[~~Programmer_Guide~~/~~Command_Reference/EVAL~~#Functions\|<function list>]]		[[../#Functions\|<function list>]]

Toni at 14:28, 6 April 2011

2011-04-06T14:28:27Z

← Older revision		Revision as of 16:28, 6 April 2011
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	;Result: The result ''r'' has the same type as ''x'' and contains the converted elements of ''x''.		;Result: The result ''r'' has the same type as ''x'' and contains the converted elements of ''x''.
	:;'''hz2erb''': ''r''<sub>i,j</sub> = 16.7 * log<sub>10</sub>(1 + ''x''<sub>i,j</sub> / 165.4)		:;'''hz2erb''': ''r''<sub>i,j</sub> = 16.7 * log<sub>10</sub>(1 + ''x''<sub>i,j</sub> / 165.4)
	::		::''x''<sub>i,j</sub> is the frequency in Hz and must be greater than 0
	:;'''erb2hz''': ''r''<sub>i,j</sub> = 165.4 * (10 ^ (0.06 * ''x''<sub>i,j</sub>) - 1)		:;'''erb2hz''': ''r''<sub>i,j</sub> = 165.4 * (10 ^ (0.06 * ''x''<sub>i,j</sub>) - 1)
			::''x''<sub>i,j</sub> is the frequency in ERB and must be greater than 0

	~~Because the above formula is not directly invertable, an iteration algorithm is used to convert the~~ ''x''<sub>i,j</sub> ~~from Bark to the result ''r''<sub>i,j</sub> in Hz.~~
	~~:Note: Both functions are also available in~~ the ~~expressions used~~ in ~~the [[Programmer_Guide/Command_Reference/NUM\|NUM]]~~ and ~~[[Programmer_Guide/Command_Reference/INT\|INT]] command.~~

	;See also: [[Programmer_Guide/Command_Reference/EVAL/hz2mel\|hz2mel, mel2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2bark\|hz2bark, bark2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2cent\|hz2cent, cent2hz]], [[Programmer_Guide/Command_Reference/EVAL/hth\|hth]], [[Programmer_Guide/Command_Reference/EVAL/log2lin\|lin2log, log2lin]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/hz2mel\|hz2mel, mel2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2bark\|hz2bark, bark2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2cent\|hz2cent, cent2hz]], [[Programmer_Guide/Command_Reference/EVAL/hth\|hth]], [[Programmer_Guide/Command_Reference/EVAL/log2lin\|lin2log, log2lin]]

	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

	~~=====hz2erb=====~~

	~~Hertz to Erb conversion (equivalent rectangle )~~

	~~=====Usage:=====~~

	~~<code>hz2erb(<var>x</var>)</code>~~

Toni at 14:27, 6 April 2011

2011-04-06T14:27:29Z

← Older revision		Revision as of 16:27, 6 April 2011
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	{{DISPLAYTITLE:hz2erb, erb2hz}}		{{DISPLAYTITLE:hz2erb, erb2hz}}
	Convert all elements of ''x'' from Hertz to ERB (equivalent rectangulare bandwidth) ~~Bark~~ and vice versa.		Convert all elements of ''x'' from Hertz to ERB (equivalent rectangulare bandwidth) and vice versa.
	;Usage: '''<code>hz2erb(<var>x</var>)</code>		;Usage: '''<code>hz2erb(<var>x</var>)</code>
	:'''<code>erb2hz(<var>x</var>)</code>		:'''<code>erb2hz(<var>x</var>)</code>
	:;<var>x</var>: a scalar, vector or matrix		:;<var>x</var>: a scalar, vector or matrix
	;Result: The result ''r'' has the same type as ''x'' and contains the converted elements of ''x''.		;Result: The result ''r'' has the same type as ''x'' and contains the converted elements of ''x''.
	:;'''~~hz2bark~~'''~~: Uses the algorithm published by Zwicker and Fastl (1990) to convert frequencies from Hz to Bark:~~		:;'''hz2erb''': ''r''<sub>i,j</sub> = 16.7 * log<sub>10</sub>(1 + ''x''<sub>i,j</sub> / 165.4)
	::''r''<sub>i,j</sub> = 13 * ~~atan~~(0.76''x''<sub>i,j</sub>/~~1000~~) ~~+ 3~~.5 ~~atan~~((''x''<sub>i,j</sub>~~/7500~~)^2)		::
	~~:;'''bark2hz''':~~ Because the above formula is not directly invertable, an iteration algorithm is used to convert the ''x''<sub>i,j</sub> from Bark to the result ''r''<sub>i,j</sub> in Hz.		:;'''erb2hz''': ''r''<sub>i,j</sub> = 165.4 * (10 ^ (0.06 * ''x''<sub>i,j</sub>) - 1)


			Because the above formula is not directly invertable, an iteration algorithm is used to convert the ''x''<sub>i,j</sub> from Bark to the result ''r''<sub>i,j</sub> in Hz.
	:Note: Both functions are also available in the expressions used in the [[Programmer_Guide/Command_Reference/NUM\|NUM]] and [[Programmer_Guide/Command_Reference/INT\|INT]] command.		:Note: Both functions are also available in the expressions used in the [[Programmer_Guide/Command_Reference/NUM\|NUM]] and [[Programmer_Guide/Command_Reference/INT\|INT]] command.

Toni at 14:21, 6 April 2011

2011-04-06T14:21:09Z

← Older revision		Revision as of 16:21, 6 April 2011
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	:Note: Both functions are also available in the expressions used in the [[Programmer_Guide/Command_Reference/NUM\|NUM]] and [[Programmer_Guide/Command_Reference/INT\|INT]] command.		:Note: Both functions are also available in the expressions used in the [[Programmer_Guide/Command_Reference/NUM\|NUM]] and [[Programmer_Guide/Command_Reference/INT\|INT]] command.

	;See also: [[Programmer_Guide/Command_Reference/EVAL/hz2mel\|hz2mel, mel2hz]], [[Programmer_Guide/Command_Reference/EVAL/~~hz2erb~~\|~~hz2erb~~, ~~erb2hz~~]], [[Programmer_Guide/Command_Reference/EVAL/hz2cent\|hz2cent, cent2hz]], [[Programmer_Guide/Command_Reference/EVAL/hth\|hth]], [[Programmer_Guide/Command_Reference/EVAL/log2lin\|lin2log, log2lin]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/hz2mel\|hz2mel, mel2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2bark\|hz2bark, bark2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2cent\|hz2cent, cent2hz]], [[Programmer_Guide/Command_Reference/EVAL/hth\|hth]], [[Programmer_Guide/Command_Reference/EVAL/log2lin\|lin2log, log2lin]]

	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

Toni at 14:20, 6 April 2011

2011-04-06T14:20:27Z

← Older revision		Revision as of 16:20, 6 April 2011
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	{{DISPLAYTITLE:~~{{SUBPAGENAME}}~~}}		{{DISPLAYTITLE:hz2erb, erb2hz}}
			Convert all elements of ''x'' from Hertz to ERB (equivalent rectangulare bandwidth) Bark and vice versa.
			;Usage: '''<code>hz2erb(<var>x</var>)</code>
			:'''<code>erb2hz(<var>x</var>)</code>
			:;<var>x</var>: a scalar, vector or matrix
			;Result: The result ''r'' has the same type as ''x'' and contains the converted elements of ''x''.
			:;'''hz2bark''': Uses the algorithm published by Zwicker and Fastl (1990) to convert frequencies from Hz to Bark:
			::''r''<sub>i,j</sub> = 13 * atan(0.76''x''<sub>i,j</sub>/1000) + 3.5 atan((''x''<sub>i,j</sub>/7500)^2)
			:;'''bark2hz''': Because the above formula is not directly invertable, an iteration algorithm is used to convert the ''x''<sub>i,j</sub> from Bark to the result ''r''<sub>i,j</sub> in Hz.
			:Note: Both functions are also available in the expressions used in the [[Programmer_Guide/Command_Reference/NUM\|NUM]] and [[Programmer_Guide/Command_Reference/INT\|INT]] command.

			;See also: [[Programmer_Guide/Command_Reference/EVAL/hz2mel\|hz2mel, mel2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2erb\|hz2erb, erb2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2cent\|hz2cent, cent2hz]], [[Programmer_Guide/Command_Reference/EVAL/hth\|hth]], [[Programmer_Guide/Command_Reference/EVAL/log2lin\|lin2log, log2lin]]

			[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

	=====hz2erb=====		=====hz2erb=====

Admin: 1 revision: Initial import

2010-11-18T16:31:39Z

1 revision: Initial import

← Older revision	Revision as of 18:31, 18 November 2010
(No difference)

193.171.195.8: initial import

2010-05-17T13:05:27Z

initial import

New page

{{DISPLAYTITLE:{{SUBPAGENAME}}}}
=====hz2erb=====

Hertz to Erb conversion (equivalent rectangle )

=====Usage:=====

<code>hz2erb(<var>x</var>)</code>

← Older revision		Revision as of 16:21, 6 April 2011
Line 10:		Line 10:
	:Note: Both functions are also available in the expressions used in the [[Programmer_Guide/Command_Reference/NUM\|NUM]] and [[Programmer_Guide/Command_Reference/INT\|INT]] command.		:Note: Both functions are also available in the expressions used in the [[Programmer_Guide/Command_Reference/NUM\|NUM]] and [[Programmer_Guide/Command_Reference/INT\|INT]] command.

	;See also: [[Programmer_Guide/Command_Reference/EVAL/hz2mel\|hz2mel, mel2hz]], [[Programmer_Guide/Command_Reference/EVAL/~~hz2erb~~\|~~hz2erb~~, ~~erb2hz~~]], [[Programmer_Guide/Command_Reference/EVAL/hz2cent\|hz2cent, cent2hz]], [[Programmer_Guide/Command_Reference/EVAL/hth\|hth]], [[Programmer_Guide/Command_Reference/EVAL/log2lin\|lin2log, log2lin]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/hz2mel\|hz2mel, mel2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2bark\|hz2bark, bark2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2cent\|hz2cent, cent2hz]], [[Programmer_Guide/Command_Reference/EVAL/hth\|hth]], [[Programmer_Guide/Command_Reference/EVAL/log2lin\|lin2log, log2lin]]

	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]