{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/wavelet-scattering-on-the-pitch-spiral","title":"Wavelet Scattering on the Pitch Spiral","arxiv_id":"1601.00287","date":"2016-01-03","proceeding":null,"authors":["Vincent Lostanlen","Stéphane Mallat"],"abstract":"We present a new representation of harmonic sounds that linearizes the\ndynamics of pitch and spectral envelope, while remaining stable to deformations\nin the time-frequency plane. It is an instance of the scattering transform, a\ngeneric operator which cascades wavelet convolutions and modulus\nnonlinearities. It is derived from the pitch spiral, in that convolutions are\nsuccessively performed in time, log-frequency, and octave index. We give a\nclosed-form approximation of spiral scattering coefficients for a nonstationary\ngeneralization of the harmonic source-filter model.","url_abs":"http://arxiv.org/abs/1601.00287v1","url_pdf":"http://arxiv.org/pdf/1601.00287v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"wavelet-scattering-on-the-pitch-spiral","repo_url":"https://github.com/lostanlen/dafx2015","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}