# spectralCentroid

Spectral centroid for audio signals and auditory spectrograms

## Syntax

## Description

specifies options using one or more name-value arguments.`centroid`

= spectralCentroid(`x`

,`f`

,`Name=Value`

)

`spectralCentroid(___)`

with no output arguments plots
the spectral centroid. You can specify an input combination from any of the previous syntaxes.

If the input is in the time domain, the spectral centroid is plotted against time.

If the input is in the frequency domain, the spectral centroid is plotted against frame number.

## Examples

## Input Arguments

## Output Arguments

## Algorithms

The spectral centroid is calculated as described in [1]:

$$\text{centroid}=\frac{{\displaystyle \sum _{k={b}_{1}}^{{b}_{2}}{f}_{k}{s}_{k}}}{{\displaystyle \sum _{k={b}_{1}}^{{b}_{2}}{s}_{k}}}$$

where

*f*is the frequency in Hz corresponding to bin_{k}*k*.*s*is the spectral value at bin_{k}*k*.*b*_{1}and*b*_{2}are the band edges, in bins, over which to calculate the spectral centroid.

## References

[1] Peeters, G. "A Large Set of Audio Features for Sound Description (Similarity and Classification) in the CUIDADO Project." Technical Report; IRCAM: Paris, France, 2004.

## Extended Capabilities

## Version History

**Introduced in R2019a**