{"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/the-demodulated-band-transform","title":"The demodulated band transform","arxiv_id":"1510.03113","date":"2016-01-19","proceeding":null,"authors":[],"abstract":"Background: Windowed Fourier decompositions (WFD) are widely used in\nmeasuring stationary and non-stationary spectral phenomena and in describing\npairwise relationships among multiple signals. Although a variety of WFDs see\nfrequent application in electrophysiological research, including the short-time\nFourier transform, continuous wavelets, band-pass filtering and\nmultitaper-based approaches, each carries certain drawbacks related to\ncomputational efficiency and spectral leakage. This work surveys the advantages\nof a WFD not previously applied in electrophysiological settings.\n  New Methods: A computationally efficient form of complex demodulation, the\ndemodulated band transform (DBT), is described.\n  Results: DBT is shown to provide an efficient approach to spectral estimation\nwith minimal susceptibility to spectral leakage. In addition, it lends itself\nwell to adaptive filtering of non-stationary narrowband noise.\n  Comparison with existing methods: A detailed comparison with alternative WFDs\nis offered, with an emphasis on the relationship between DBT and Thomson's\nmultitaper. DBT is shown to perform favorably in combining computational\nefficiency with minimal introduction of spectral leakage.\n  Conclusion: DBT is ideally suited to efficient estimation of both stationary\nand non-stationary spectral and cross-spectral statistics with minimal\nsusceptibility to spectral leakage. These qualities are broadly desirable in\nmany settings.","url_abs":"http://arxiv.org/abs/1510.03113v4","url_pdf":"http://arxiv.org/pdf/1510.03113v4.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":"the-demodulated-band-transform","repo_url":"https://github.com/ckovach/DBT","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"computational-efficiency","task_name":"Computational Efficiency"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}