Correntropy function for fundamental frequency determination of musical instrument samples

Fundamental frequency or pitch determination is one of the main issues in the transcription of music. In this paper, we determined the fundamental frequencies of isolated musical instrument samples by computing the correntropy functions. As the correntropy function depends on kernel methods, we demonstrated its performance using various kernel sizes. We presented the better resolution of the correntropy function than the conventional and the summary autocorrelation functions by calculating the full-width-at-half-maximum of the peaks of the functions. The superiority was confirmed for the samples of 20 different instruments based on the average width of the peaks.