mel2hz

Convert from mel scale to hertz

Syntax

hz = mel2hz(mel)

Description

hz = mel2hz(mel) converts values on the mel frequency scale to values in hertz.

Examples

Convert Between Mel Scale and Hz

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

b = hz2mel([20,8000]);

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

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

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

hzVect = mel2hz(melVect);

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

plot(melVect,hzVect,'o')
title('Mel vs Hz')
xlabel('Mel')
ylabel('Hz')
grid on

Input Arguments

mel — Input frequency on mel scale

scalar | vector | matrix | multidimensional array

Input frequency on the mel 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 mel.

Data Types: single | double

Algorithms

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

$$hz=700\left({10}^{\frac{mel}{2595}}-1\right)$$

References

[1] O'Shaghnessy, Douglas. Speech Communication: Human and Machine. Reading, MA: Addison-Wesley Publishing Company, 1987.

Extended Capabilities

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