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

Revision as of 15:27, 6 April 2011

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

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, hz2bark, bark2hz, hz2cent, cent2hz, hth, lin2log, log2lin

Hertz to Erb conversion (equivalent rectangle )

hz2erb(x)

@@ Line 1: / Line 1: @@
 {{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>
 :'''<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:
+:;'''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.