Still haven't figured this out, would really appreciate any thoughts from more experienced scientists..
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Finding the strongest beat in a sound wave using autocorrelation
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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');
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!!