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Finding the strongest beat in a sound wave using autocorrelation

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AwedBy Matlab
AwedBy Matlab on 25 Nov 2012
I have a sound wave representing a piano piece played at a steady tempo, and would like to get a graph of the saliency of each beat. I understand that this is done by plotting the autocorrelation function, however I don't quite understand why a graph of r coefficients against each possible lag value (which is, as far as I udnerstand, the deffinition of an autocorrelogram) would have anything to do with beats.
The following code produces a graph that doesn't in any way suggest anything to do with the actual steady beat of the piece (60 BPM):
[y,Fs] = wavread('d:\bach.wav');
[r,lags]=xcorr(y,'coeff');
plot(lags,r)
Clearly I'm understanding autocorrelation wrongly. For instance, in this very simple example http://upload.wikimedia.org/wikipedia/commons/e/ed/Acf_new.svg, the frequency of the sine hidden in noise is nowhere visible from the autocorrelation graph - or is it? Furthermore, that frequency would actually be the pitch of the sound, and not any rhythm-related measure!
Anticipated thanks for any clarifications!!
  2 Comments
AwedBy Matlab
AwedBy Matlab on 26 Nov 2012
Thanks for your input Daniel, however I do want to get this problem solved in Matlab (with or without clarification on the theoretical aspect), so if you don't mind could you leave the question open, I appreciate it.

Answers (1)

AwedBy Matlab
AwedBy Matlab on 26 Nov 2012
Still haven't figured this out, would really appreciate any thoughts from more experienced scientists..

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