bark2hz

Convert from Bark scale to hertz

Syntax

hz = bark2hz(bark)

Description

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

Examples

Convert Between Bark Scale and Hz

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.

plot(barkVect,hzVect,'o')
title('Bark vs Hz')
xlabel('Bark')
ylabel('Hz')
grid on

Input Arguments

bark — Input frequency on Bark scale

scalar | vector | matrix | multidimensional array

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

Data Types: single | double

Output Arguments

hz — Output frequency in Hz

scalar | vector | matrix | multidimensional array

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

Data Types: single | double

Algorithms

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

$$\begin{array}{l}if:bark<2\to bark=\frac{\left(bark-0.3\right)}{0.85}\\ if:bark>20.1\to bark=\frac{\left(bark+4.422\right)}{1.22}\\ hz=1960\left(\frac{bark+0.53}{26.28-bark}\right)\end{array}$$

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

References

[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