View source for Programmer Guide/Command Reference/EVAL/hz2bark

{{DISPLAYTITLE:hz2bark, bark2hz}}
Convert all elements of ''x'' from Hertz to Bark and vice versa.
;Usage: '''<code>hz2bark(<var>x</var>)</code>
:'''<code>bark2hz(<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.

''fac'' * log<sub>10</sub>(''x''<sub>i,j</sub> / ''ref'')
::*'''log2lin''': ''r''<sub>i,j</sub> = ''ref'' * 10 ^ (''x''<sub>i,j</sub> / ''fac'')
: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/hth|hth]], [[Programmer_Guide/Command_Reference/EVAL/lin2log|lin2log, log2lin]]

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