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Convert from Bark scale to hertz



hz = bark2hz(bark) converts values on the Bark frequency scale to values in hertz.


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Set two bounding frequencies in Hz and then convert them to the Bark scale.

b = hz2bark([20,8000]);

Generate a row vector of 32 values uniformly spaced on the Bark scale.

barkVect = linspace(b(1),b(2),32);

Convert the row vector of values into equivalent frequencies in Hz.

hzVect = bark2hz(barkVect);

Plot the two vectors for comparison. As Bark values increase linearly, Hz values increase exponentially.

title('Bark vs Hz')
grid on

Input Arguments

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Input frequency on the Bark scale, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: single | double

Output Arguments

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Output frequency in Hz, returned as a scalar, vector, matrix, or multidimensional array the same size as bark.

Data Types: single | double


The frequency conversion from the Bark scale to Hz uses the following formula:


The Bark value correction occurs before the conversion from the Bark scale to Hz.


[1] Traunmüller, Hartmut. "Analytical Expressions for the Tonotopic Sensory Scale." Journal of the Acoustical Society of America. Vol. 88, Issue 1, 1990, pp. 97–100.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Version History

Introduced in R2019a