Programmer Guide/Command Reference/EVAL/hz2erb: Difference between revisions

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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''.  
:;'''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


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


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.
[[../#Functions|<function list>]]
: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]]
 
[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]
 
=====hz2erb=====
 
Hertz to Erb conversion (equivalent rectangle )
 
=====Usage:=====
 
<code>hz2erb(<var>x</var>)</code>

Latest revision as of 11:54, 21 April 2011

Convert all elements of x from Hertz to ERB (equivalent rectangulare bandwidth) and vice versa.

Usage
hz2erb(x)
erb2hz(x)
x
a scalar, vector or matrix
Result
The result r has the same type as x and contains the converted elements of x.
hz2erb
ri,j = 16.7 * log10(1 + xi,j / 165.4)
xi,j is the frequency in Hz and must be greater than 0
erb2hz
ri,j = 165.4 * (10 ^ (0.06 * xi,j) - 1)
xi,j is the frequency in ERB and must be greater than 0
See also
hz2mel, mel2hz, hz2bark, bark2hz, hz2cent, cent2hz, hth, lin2log, log2lin

<function list>

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