Wavelet Scattering on the Pitch Spiral
Sound
2016-01-05 v1 Artificial Intelligence
Abstract
We present a new representation of harmonic sounds that linearizes the dynamics of pitch and spectral envelope, while remaining stable to deformations in the time-frequency plane. It is an instance of the scattering transform, a generic operator which cascades wavelet convolutions and modulus nonlinearities. It is derived from the pitch spiral, in that convolutions are successively performed in time, log-frequency, and octave index. We give a closed-form approximation of spiral scattering coefficients for a nonstationary generalization of the harmonic source-filter model.
Cite
@article{arxiv.1601.00287,
title = {Wavelet Scattering on the Pitch Spiral},
author = {Vincent Lostanlen and Stéphane Mallat},
journal= {arXiv preprint arXiv:1601.00287},
year = {2016}
}
Comments
Proceedings of the 18th International Conference on Digital Audio Effects (DAFx-15), Trondheim, Norway, Nov 30 - Dec 3, 2015, pp. 429--432. 4 pages, 3 figures