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

Revision as of 16:20, 6 April 2011

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

Usage

hz2erb(x)

erb2hz(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:; r_i,j = 13 * atan(0.76*x_i,j/1000) + 3.5 * atan((x_i,j/7500)^2)
bark2hz: Because the above formula is not directly invertable, an iteration algorithm is used to convert the x_i,j from Bark to the result r_i,j in Hz.

Note: Both functions are also available in the expressions used in the NUM and INT command.

See also: hz2mel, mel2hz, hz2erb, erb2hz, hz2cent, cent2hz, hth, lin2log, log2lin

Hertz to Erb conversion (equivalent rectangle )

hz2erb(x)

@@ Line 1: / Line 1: @@
-{{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=====