Here’s the reference where I learned about this approximation to differentiation that’s superior to taking the first-order difference:
Alonso, Miguel, Bertrand David, and Gaël Richard. 2004. Tempo and beat estimation of musical signals. In Proceedings of the 5th International Conference on Music Information Retrieval (ISMIR) (Barcelona): 158–163.
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Re: smoother+derivitive
Here’s the reference where I learned about this approximation to differentiation that’s superior to taking the first-order difference:
Alonso, Miguel, Bertrand David, and Gaël Richard. 2004. Tempo and beat estimation of musical signals. In Proceedings of the 5th International Conference on Music Information Retrieval (ISMIR) (Barcelona): 158–163.
Matt Wright, CNMAT’s Musical Systems Designer