Spectral centroid for audio signals and auditory spectrograms
The spectral centroid is calculated as described in [1]:
where
fk is the frequency in Hz corresponding to bin k.
sk is the spectral value at bin k.
b1 and b2 are the band edges, in bins, over which to calculate the spectral centroid.
[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.