Abstract
In this paper we introduce methods to model brief audio signals with cubic splines, presupposing a fundamental frequency \(f_0\). The signal is broken up into cycles using zero-crossings, and each cycle is modeled with a \(C^2\) cubic interpolating spline based on some target number of interpolation points. We reduce the data in the model by reducing the number of key cycles which are used to generate intermediate cycles by the method of interpolation of B-spline coefficients, or cycle interpolation.
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Klassen, M. (2022). Spline Modeling of Audio Signals with Cycle Interpolation. In: Montiel, M., AgustÃn-Aquino, O.A., Gómez, F., Kastine, J., Lluis-Puebla, E., Milam, B. (eds) Mathematics and Computation in Music. MCM 2022. Lecture Notes in Computer Science(), vol 13267. Springer, Cham. https://doi.org/10.1007/978-3-031-07015-0_13
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DOI: https://doi.org/10.1007/978-3-031-07015-0_13
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