Wavelet Scattering on the Pitch Spiral

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.

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

Cited by in corpus (9)

• Radar-based Materials Classification Using Deep Wavelet Scattering Transform: A Comparison of Centimeter vs. Millimeter Wave Units
• Geometric Scattering Attention Networks
• Geometric Scattering for Graph Data Analysis
• Geometric Scattering on Manifolds
• The Shape of RemiXXXes to Come: Audio Texture Synthesis with Time-frequency Scattering
• One or Two Components? The Scattering Transform Answers
• Eigentriads and Eigenprogressions on the Tonnetz
• Sparse Multi-Family Deep Scattering Network
• Helicality: An Isomap-based Measure of Octave Equivalence in Audio Data