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

Revision as of 15:28, 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.

hz2erb: r_i,j = 16.7 * log₁₀(1 + x_i,j / 165.4); x_i,j is the frequency in Hz and must be greater than 0
erb2hz: r_i,j = 165.4 * (10 ^ (0.06 * x_i,j) - 1); x_i,j is the frequency in ERB and must be greater than 0

See also: hz2mel, mel2hz, hz2bark, bark2hz, hz2cent, cent2hz, hth, lin2log, log2lin

@@ Line 6: / Line 6: @@
 ;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)
-::
+::''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)
+::''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]]
 [[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]
-=====hz2erb=====
-Hertz to Erb conversion (equivalent rectangle )
-=====Usage:=====
-<code>hz2erb(<var>x</var>)</code>