duff2013 il y a 9 ans
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>Many optimizations have been done to the [YIN] algorithm for frequencies between 29-360Hz.
>>While its still using a brute force method ( n<sup>2</sup> ) for finding the fundamental frequency f<sub>o</sub>, it is tuned to skip certain <b>tau</b> (<img src="http://rogercortesi.com/eqn/tempimagedir/eqn2874.jpg"/>) values and focus mostly on frequencies found in the bass and guitar.
>>While its still using a brute force method ( n<sup>2</sup> ) for finding the fundamental frequency f<sub>o</sub>, it is tuned to skip certain <b>tau</b> (<img src="http://rogercortesi.com/eqn/tempimagedir/eqn7483.png"/></img>) values and focus mostly on frequencies found in the bass and guitar.
>>>The input is double buffered so while you are processing one buffer it is filling the other to double throughput.
>>>>There are a few parameters that can be adjusted to "dial in" the algorithm for better estimations. The defaults are what I found that have the best trade off for speed and accuracy.

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<div>
<b>YIN Algorithm</b>
<ol>
<li><b>Difference Function -</b> Squared difference of the (signal - signal lag(<img src="http://rogercortesi.com/eqn/tempimagedir/eqn2874.jpg"/>))</li>
<li><b>Difference Function -</b> Squared difference of the (signal - signal lag(<img src="http://rogercortesi.com/eqn/tempimagedir/eqn7483.png"/></img>))</li>
<img src="http://rogercortesi.com/eqn/tempimagedir/eqn1752.png" />
<li><b>Cumulative Mean Normalized Difference Function -</b> Calculate the cumulative mean on the normalized difference signal</li>
<img src="http://rogercortesi.com/eqn/tempimagedir/eqn3269.png" />
<li><b>Absolute Threshold -</b> Fix for subharmonic error with Autocorrelation, choose (<img src="http://rogercortesi.com/eqn/tempimagedir/eqn2874.jpg"/>) that gives a minimum <img src="http://rogercortesi.com/eqn/tempimagedir/eqn3518.png"/></li>
<li><b>Absolute Threshold -</b> Fix for subharmonic error with Autocorrelation, choose (<img src="http://rogercortesi.com/eqn/tempimagedir/eqn7483.png"/></img>) that gives a minimum <img src="http://rogercortesi.com/eqn/tempimagedir/eqn3518.png"/></li>
</ol>
</div>


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