{"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/frequency-sliding-generalized-cross","title":"Frequency-Sliding Generalized Cross-Correlation: A Sub-band Time Delay Estimation Approach","arxiv_id":"1910.08838","date":"2020-03-24","proceeding":null,"authors":[],"abstract":"The generalized cross correlation (GCC) is regarded as the most popular\napproach for estimating the time difference of arrival (TDOA) between the\nsignals received at two sensors. Time delay estimates are obtained by\nmaximizing the GCC output, where the direct-path delay is usually observed as a\nprominent peak. Moreover, GCCs play also an important role in steered response\npower (SRP) localization algorithms, where the SRP functional can be written as\nan accumulation of the GCCs computed from multiple sensor pairs. Unfortunately,\nthe accuracy of TDOA estimates is affected by multiple factors, including\nnoise, reverberation and signal bandwidth. In this paper, a sub-band approach\nfor time delay estimation aimed at improving the performance of the\nconventional GCC is presented. The proposed method is based on the extraction\nof multiple GCCs corresponding to different frequency bands of the cross-power\nspectrum phase in a sliding-window fashion. The major contributions of this\npaper include: 1) a sub-band GCC representation of the cross-power spectrum\nphase that, despite having a reduced temporal resolution, provides a more\nsuitable representation for estimating the true TDOA; 2) such matrix\nrepresentation is shown to be rank one in the ideal noiseless case, a property\nthat is exploited in more adverse scenarios to obtain a more robust and\naccurate GCC; 3) we propose a set of low-rank approximation alternatives for\nprocessing the sub-band GCC matrix, leading to better TDOA estimates and source\nlocalization performance. An extensive set of experiments is presented to\ndemonstrate the validity of the proposed approach.","url_abs":"http://arxiv.org/abs/1910.08838v2","url_pdf":"http://arxiv.org/pdf/1910.08838v2.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":"frequency-sliding-generalized-cross","repo_url":"https://github.com/spatUV/fs-gcc","is_official":1,"mentioned_in_paper":1,"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}