hz2mel

Convert from hertz to mel scale

Since R2019a

Syntax

mel = hz2mel(hz)

Description

mel = hz2mel(hz) converts values in hertz to values on the mel frequency scale.

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

hz — Input frequency in Hz

scalar | vector | matrix | multidimensional array

Input frequency in Hz, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: single | double

Output Arguments

mel — Output frequency on mel scale

scalar | vector | matrix | multidimensional array

Output frequency on the mel scale, returned as a scalar, vector, matrix, or multidimensional array the same size as hz.

Data Types: single | double

Algorithms

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

$$mel=2595{\log }_{10}\left(1+\frac{hz}{700}\right)$$

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™.

Version History

Introduced in R2019a