{"id":"https://openalex.org/W2191157981","doi":"https://doi.org/10.1109/tsp.2016.2593690","title":"TDOA Matrices: Algebraic Properties and Their Application to Robust Denoising With Missing Data","display_name":"TDOA Matrices: Algebraic Properties and Their Application to Robust Denoising With Missing Data","publication_year":2016,"publication_date":"2016-07-21","ids":{"openalex":"https://openalex.org/W2191157981","doi":"https://doi.org/10.1109/tsp.2016.2593690","mag":"2191157981"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2016.2593690","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2593690","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1601.04485","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050078991","display_name":"Jose Velasco","orcid":null},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jose Velasco","raw_affiliation_strings":["Department of Electronics, Escuela Polit\u00e9cnica Superior, University of Alcal\u00e1, Alcal\u00e1 de Henares, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Escuela Polit\u00e9cnica Superior, University of Alcal\u00e1, Alcal\u00e1 de Henares, Spain","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014421885","display_name":"Daniel Pizarro","orcid":"https://orcid.org/0000-0003-0622-4884"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Daniel Pizarro","raw_affiliation_strings":["Department of Electronics, Escuela Polit\u00e9cnica Superior, University of Alcal\u00e1, Alcal\u00e1 de Henares, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Escuela Polit\u00e9cnica Superior, University of Alcal\u00e1, Alcal\u00e1 de Henares, Spain","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078597967","display_name":"Javier Mac\u00edas-Guarasa","orcid":"https://orcid.org/0000-0002-3303-3963"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Javier Macias-Guarasa","raw_affiliation_strings":["Department of Electronics, Escuela Polit\u00e9cnica Superior, University of Alcal\u00e1, Alcal\u00e1 de Henares, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Escuela Polit\u00e9cnica Superior, University of Alcal\u00e1, Alcal\u00e1 de Henares, Spain","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063249055","display_name":"Afsaneh Asaei","orcid":"https://orcid.org/0000-0002-1917-601X"},"institutions":[{"id":"https://openalex.org/I7495430","display_name":"Idiap Research Institute","ror":"https://ror.org/05932h694","country_code":"CH","type":"facility","lineage":["https://openalex.org/I7495430"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Afsaneh Asaei","raw_affiliation_strings":["Idiap Research Institute, Martigny, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Idiap Research Institute, Martigny, Switzerland","institution_ids":["https://openalex.org/I7495430"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3484,"has_fulltext":true,"cited_by_count":50,"citation_normalized_percentile":{"value":0.92453875,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"64","issue":"20","first_page":"5242","last_page":"5254"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multilateration","display_name":"Multilateration","score":0.9483113288879395},{"id":"https://openalex.org/keywords/fdoa","display_name":"FDOA","score":0.5747801065444946},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.5381532311439514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5380977988243103},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.510761022567749},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45981985330581665},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.42665237188339233},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39155247807502747},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2847643792629242}],"concepts":[{"id":"https://openalex.org/C104037064","wikidata":"https://www.wikidata.org/wiki/Q1640884","display_name":"Multilateration","level":3,"score":0.9483113288879395},{"id":"https://openalex.org/C14774633","wikidata":"https://www.wikidata.org/wiki/Q5425288","display_name":"FDOA","level":4,"score":0.5747801065444946},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.5381532311439514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5380977988243103},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.510761022567749},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45981985330581665},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.42665237188339233},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39155247807502747},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2847643792629242},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C159737794","wikidata":"https://www.wikidata.org/wiki/Q124274","display_name":"Azimuth","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tsp.2016.2593690","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2593690","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1601.04485","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.04485","pdf_url":"https://arxiv.org/pdf/1601.04485","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:ebuah.uah.es:10017/64566","is_oa":true,"landing_page_url":"http://hdl.handle.net/10017/64566","pdf_url":"https://ebuah.uah.es/dspace/bitstream/10017/64566/5/TDOAMatrices_Velasco_IEEETransSP_2016.pdf","source":{"id":"https://openalex.org/S7407055200","display_name":"e_Buah","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/aceptedVersion"},{"id":"pmh:oai:infoscience.epfl.ch:214718","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/214718","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1601.04485","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.04485","pdf_url":"https://arxiv.org/pdf/1601.04485","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1658292130","display_name":null,"funder_award_id":"200021-153507","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4876857319","display_name":null,"funder_award_id":"TIN2013-47630-C2-1-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G5256785375","display_name":null,"funder_award_id":"200021-","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G8114585233","display_name":"PHASER: Parsimonious Hierarchical Automatic Speech Recognition","funder_award_id":"153507","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G993971353","display_name":null,"funder_award_id":"200021","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323755","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W1476210933","https://openalex.org/W1493595169","https://openalex.org/W1515932869","https://openalex.org/W1547529764","https://openalex.org/W1555217905","https://openalex.org/W1682364964","https://openalex.org/W1724219925","https://openalex.org/W1994630425","https://openalex.org/W1999933558","https://openalex.org/W2004026774","https://openalex.org/W2023004272","https://openalex.org/W2024051019","https://openalex.org/W2028043639","https://openalex.org/W2045012981","https://openalex.org/W2046317813","https://openalex.org/W2053904780","https://openalex.org/W2059673153","https://openalex.org/W2064980127","https://openalex.org/W2069885239","https://openalex.org/W2114404361","https://openalex.org/W2116635162","https://openalex.org/W2120350100","https://openalex.org/W2124722093","https://openalex.org/W2128970593","https://openalex.org/W2129821199","https://openalex.org/W2134332047","https://openalex.org/W2137867936","https://openalex.org/W2141427791","https://openalex.org/W2142077116","https://openalex.org/W2142499445","https://openalex.org/W2145962650","https://openalex.org/W2148613904","https://openalex.org/W2149310890","https://openalex.org/W2155069740","https://openalex.org/W2155315452","https://openalex.org/W2155729187","https://openalex.org/W2156546399","https://openalex.org/W2157229366","https://openalex.org/W2160569988","https://openalex.org/W2164238332","https://openalex.org/W2166494464","https://openalex.org/W2169730407","https://openalex.org/W2319200258","https://openalex.org/W2329651362","https://openalex.org/W2417298730","https://openalex.org/W3099726471","https://openalex.org/W3104427658","https://openalex.org/W4249052411","https://openalex.org/W6629645474","https://openalex.org/W6632440490","https://openalex.org/W6637306354","https://openalex.org/W6656675045","https://openalex.org/W6678719892","https://openalex.org/W6679546383","https://openalex.org/W6680448475","https://openalex.org/W6681016373","https://openalex.org/W6682355219","https://openalex.org/W6683303121"],"related_works":["https://openalex.org/W2027655252","https://openalex.org/W4390570342","https://openalex.org/W2776253891","https://openalex.org/W2129263947","https://openalex.org/W2038717975","https://openalex.org/W2370956270","https://openalex.org/W2268218630","https://openalex.org/W2392726999","https://openalex.org/W3170014970","https://openalex.org/W2363281687"],"abstract_inverted_index":{"Measuring":[0],"the":[1,13,28,44,85,90,116,155],"time":[2],"delay":[3],"of":[4,10,30,43,72,118,154,165],"arrival":[5],"(TDOA)":[6],"between":[7],"a":[8,57,66,103,126],"set":[9,29],"sensors":[11],"is":[12],"basic":[14],"setup":[15],"for":[16,106],"many":[17],"applications,":[18],"such":[19],"as":[20],"localization":[21,170],"or":[22],"signal":[23],"beamforming.":[24],"This":[25,96,122],"paper":[26,79,97,123],"presents":[27],"TDOA":[31,38,51,73,86,107,166],"matrices,":[32],"which":[33],"are":[34,53,75],"built":[35],"from":[36],"noise-free":[37],"measurements,":[39],"not":[40],"requiring":[41],"knowledge":[42],"sensor":[45],"array":[46],"geometry.":[47],"We":[48],"prove":[49],"that":[50,63,99,113],"matrices":[52,74],"rank-two":[54],"and":[55,136,148,169],"have":[56],"special":[58],"singular":[59],"value":[60],"decomposition":[61,62],"leads":[64],"to":[65,80,89,115,132],"compact":[67],"linear":[68],"parametric":[69],"representation.":[70],"Properties":[71],"applied":[76],"in":[77,138,141,146,159,163],"this":[78,100],"perform":[81],"denoising,":[82],"by":[83],"finding":[84],"matrix":[87,91],"closest":[88],"composed":[92],"with":[93,110],"noisy":[94],"measurements.":[95],"shows":[98],"problem":[101],"admits":[102],"closed-form":[104],"solution":[105],"measurements":[108],"contaminated":[109],"Gaussian":[111],"noise":[112],"extends":[114],"case":[117],"having":[119],"missing":[120,134],"data.":[121],"also":[124],"proposes":[125],"novel":[127],"robust":[128,142],"denoising":[129,157],"method":[130],"resistant":[131],"outliers,":[133],"data":[135],"inspired":[137],"recent":[139],"advances":[140],"low-rank":[143],"estimation.":[144],"Experiments":[145],"synthetic":[147],"real":[149],"datasets":[150],"show":[151],"significant":[152],"improvements":[153],"proposed":[156],"algorithms":[158],"TDOA-based":[160],"localization,":[161],"both":[162],"terms":[164],"accuracy":[167],"estimation":[168],"error.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}