{"id":"https://openalex.org/W4292972246","doi":"https://doi.org/10.1109/tsp.2022.3200548","title":"Ambiguities in DoA Estimation With Linear Arrays","display_name":"Ambiguities in DoA Estimation With Linear Arrays","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4292972246","doi":"https://doi.org/10.1109/tsp.2022.3200548"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2022.3200548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2022.3200548","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":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051735778","display_name":"Frederic Matter","orcid":"https://orcid.org/0000-0002-0499-1820"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Frederic Matter","raw_affiliation_strings":["Department of Mathematics, TU Darmstadt, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, TU Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003341938","display_name":"Tobias Fischer","orcid":"https://orcid.org/0000-0003-2479-344X"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tobias Fischer","raw_affiliation_strings":["Department of Mathematics, TU Darmstadt, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, TU Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001481378","display_name":"Marius Pesavento","orcid":"https://orcid.org/0000-0003-3395-2588"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marius Pesavento","raw_affiliation_strings":["Electrical Engineering and Information Technology Department, TU Darmstadt, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Information Technology Department, TU Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033982876","display_name":"Marc E. Pfetsch","orcid":"https://orcid.org/0000-0002-0947-7193"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marc E. Pfetsch","raw_affiliation_strings":["Department of Mathematics, TU Darmstadt, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, TU Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5051735778"],"corresponding_institution_ids":["https://openalex.org/I31512782"],"apc_list":null,"apc_paid":null,"fwci":1.9539,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.8591599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"70","issue":null,"first_page":"4395","last_page":"4407"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11946","display_name":"Antenna Design and Optimization","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7352308034896851},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7113087177276611},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.640306830406189},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6273101568222046},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6033511161804199},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5591525435447693},{"id":"https://openalex.org/keywords/direction-of-arrival","display_name":"Direction of arrival","score":0.491428017616272},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4391736686229706},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3532763123512268},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34702372550964355},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3381531238555908},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07168430089950562}],"concepts":[{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7352308034896851},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7113087177276611},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.640306830406189},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6273101568222046},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6033511161804199},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5591525435447693},{"id":"https://openalex.org/C172051844","wikidata":"https://www.wikidata.org/wiki/Q5280438","display_name":"Direction of arrival","level":3,"score":0.491428017616272},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4391736686229706},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3532763123512268},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34702372550964355},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3381531238555908},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07168430089950562},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2022.3200548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2022.3200548","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W143004564","https://openalex.org/W217710249","https://openalex.org/W236203106","https://openalex.org/W285819963","https://openalex.org/W974511872","https://openalex.org/W1482905835","https://openalex.org/W1517408937","https://openalex.org/W1534413569","https://openalex.org/W1538006934","https://openalex.org/W1559871851","https://openalex.org/W1564956404","https://openalex.org/W1602840259","https://openalex.org/W1952629836","https://openalex.org/W1966598328","https://openalex.org/W1976615583","https://openalex.org/W1992179756","https://openalex.org/W2003216148","https://openalex.org/W2019079737","https://openalex.org/W2066918008","https://openalex.org/W2098174516","https://openalex.org/W2101658087","https://openalex.org/W2104877551","https://openalex.org/W2119360526","https://openalex.org/W2128543548","https://openalex.org/W2132873789","https://openalex.org/W2136172079","https://openalex.org/W2136274821","https://openalex.org/W2141297698","https://openalex.org/W2141904749","https://openalex.org/W2142081360","https://openalex.org/W2142375107","https://openalex.org/W2142555859","https://openalex.org/W2143330906","https://openalex.org/W2143989619","https://openalex.org/W2152222549","https://openalex.org/W2153441899","https://openalex.org/W2161147105","https://openalex.org/W2161666352","https://openalex.org/W2162076350","https://openalex.org/W2164390589","https://openalex.org/W2169207653","https://openalex.org/W2329213041","https://openalex.org/W2342925881","https://openalex.org/W2343667351","https://openalex.org/W2491081014","https://openalex.org/W2762541595","https://openalex.org/W2798108576","https://openalex.org/W2914659449","https://openalex.org/W2916974679","https://openalex.org/W4238728375","https://openalex.org/W4243003642","https://openalex.org/W4300770901","https://openalex.org/W6630798122","https://openalex.org/W6684160694","https://openalex.org/W6759781625"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2152992791","https://openalex.org/W2361403716","https://openalex.org/W2079849989","https://openalex.org/W2904061867","https://openalex.org/W4289115725","https://openalex.org/W2967798957","https://openalex.org/W3144644423","https://openalex.org/W3028475238","https://openalex.org/W2024384195"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4,104],"a":[5,22,30,57,64,92,100],"novel":[6],"approach":[7,51],"to":[8,84,94],"compute":[9],"ambiguities":[10],"in":[11],"thinned":[12],"uniform":[13],"linear":[14,19],"arrays,":[15,20],"i.e.,":[16],"sparse":[17],"non-uniform":[18],"via":[21],"mixed-integer":[23,101],"program.":[24],"Ambiguities":[25],"arise":[26],"when":[27],"there":[28],"exists":[29],"set":[31,87],"of":[32,59,74,78,88],"distinct":[33],"directions-of-arrival,":[34],"for":[35,55],"which":[36,56,67],"the":[37,60],"corresponding":[38],"steering":[39,61],"matrix":[40,62],"is":[41],"rank-deficient":[42],"and":[43,103],"are":[44],"associated":[45],"with":[46],"nonunique":[47],"parameter":[48],"estimation.":[49],"Our":[50],"uses":[52],"Young":[53],"tableaux":[54],"submatrix":[58],"has":[63],"vanishing":[65,72,80],"determinant,":[66],"can":[68],"be":[69],"expressed":[70],"through":[71],"sums":[73,81],"unit":[75],"roots.":[76],"Each":[77],"these":[79],"then":[82],"corresponds":[83],"an":[85],"ambiguous":[86,97],"directions-of-arrival.":[89],"We":[90],"derive":[91],"method":[93],"enumerate":[95],"such":[96],"sets":[98],"using":[99],"program":[102],"results":[105],"on":[106],"several":[107],"examples.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-08-24T00:00:00"}