# hz2mel

Convert from hertz to mel scale

Since R2019a

## Description

example

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

## Examples

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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

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

Data Types: single | double

## Output Arguments

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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:

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

## References

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

## Version History

Introduced in R2019a