{"id":"https://openalex.org/W2240530532","doi":"https://doi.org/10.1109/camsap.2015.7383725","title":"An algebraic approach to rank-constrained beamforming","display_name":"An algebraic approach to rank-constrained beamforming","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2240530532","doi":"https://doi.org/10.1109/camsap.2015.7383725","mag":"2240530532"},"language":"en","primary_location":{"id":"doi:10.1109/camsap.2015.7383725","is_oa":false,"landing_page_url":"https://doi.org/10.1109/camsap.2015.7383725","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","raw_type":"proceedings-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/A5017601305","display_name":"Matthew W. Morency","orcid":"https://orcid.org/0000-0001-7642-2427"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Matthew W. Morency","raw_affiliation_strings":["Department of Signal Processing and Acoustics, Aalto University, Espoo, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Signal Processing and Acoustics, Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055234860","display_name":"Sergiy A. Vorobyov","orcid":"https://orcid.org/0000-0001-7249-647X"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Sergiy A. Vorobyov","raw_affiliation_strings":["Department of Signal Processing and Acoustics, Aalto University, Espoo, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Signal Processing and Acoustics, Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017601305"],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12336238,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"53","issue":null,"first_page":"17","last_page":"20"},"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":0.9997000098228455,"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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7852482795715332},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.5921180844306946},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5915791988372803},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5811724066734314},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5717042684555054},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5451695919036865},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5451676845550537},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5187037587165833},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4944751262664795},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4667195677757263},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.388488233089447},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3229076564311981},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20227354764938354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06865060329437256},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.057124942541122437}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7852482795715332},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.5921180844306946},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5915791988372803},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5811724066734314},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5717042684555054},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5451695919036865},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5451676845550537},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5187037587165833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4944751262664795},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4667195677757263},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.388488233089447},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3229076564311981},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20227354764938354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06865060329437256},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.057124942541122437},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/camsap.2015.7383725","is_oa":false,"landing_page_url":"https://doi.org/10.1109/camsap.2015.7383725","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W653761051","https://openalex.org/W1632601927","https://openalex.org/W1985123706","https://openalex.org/W1985253322","https://openalex.org/W2044000385","https://openalex.org/W2048185597","https://openalex.org/W2108625419","https://openalex.org/W2124817217","https://openalex.org/W2129640939","https://openalex.org/W2132679193","https://openalex.org/W2145486800","https://openalex.org/W2196292687","https://openalex.org/W2319466955","https://openalex.org/W2540075056","https://openalex.org/W3102742593"],"related_works":["https://openalex.org/W2963170046","https://openalex.org/W2376244802","https://openalex.org/W1971477554","https://openalex.org/W4297787022","https://openalex.org/W2015540166","https://openalex.org/W1666143004","https://openalex.org/W78494858","https://openalex.org/W2949126640","https://openalex.org/W2071370397","https://openalex.org/W4321242394"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,19,32,58],"new":[4],"approach":[5],"to":[6,18,31,40,46,53,62],"solving":[7],"the":[8,16,23,29,41,47,64,75,78],"rank":[9],"constrained":[10],"beamforming":[11,65],"problem.":[12],"Instead":[13],"of":[14,22,34,74,90],"relaxing":[15],"problem":[17,30],"feasible":[20],"set":[21],"positive":[24],"semidefinite":[25],"matrices,":[26],"we":[27],"restrict":[28],"space":[33],"polynomials":[35],"whose":[36],"dimension":[37],"is":[38,50],"equal":[39],"desired":[42],"rank.":[43],"The":[44],"solution":[45,76],"resulting":[48],"optimization":[49],"then":[51],"required":[52],"be":[54],"full":[55],"rank,":[56],"allowing":[57],"simple":[59],"matrix":[60,66],"decomposition":[61],"recover":[63],"exactly.":[67],"Simulation":[68],"results":[69],"show":[70],"an":[71],"exact":[72],"agreement":[73],"with":[77,94],"proposed":[79],"algebraic":[80],"structure,":[81],"as":[82,84],"well":[83],"significant":[85],"performance":[86],"benefits":[87],"in":[88],"terms":[89],"sidelobe":[91],"suppression":[92],"compared":[93],"previous":[95],"methods.":[96]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
