{"id":"https://openalex.org/W2773442076","doi":"https://doi.org/10.1109/lsp.2017.2779276","title":"An Efficient Algorithm for Unit-Modulus Quadratic Programs With Application in Beamforming for Wireless Sensor Networks","display_name":"An Efficient Algorithm for Unit-Modulus Quadratic Programs With Application in Beamforming for Wireless Sensor Networks","publication_year":2017,"publication_date":"2017-12-04","ids":{"openalex":"https://openalex.org/W2773442076","doi":"https://doi.org/10.1109/lsp.2017.2779276","mag":"2773442076"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2017.2779276","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2017.2779276","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5074241486","display_name":"Christos G. Tsinos","orcid":"https://orcid.org/0000-0002-4790-1477"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":true,"raw_author_name":"Christos G. Tsinos","raw_affiliation_strings":["Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg City, Luxembourg"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg City, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080037825","display_name":"Bj\u00f6rn Ottersten","orcid":"https://orcid.org/0000-0003-2298-6774"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Bjorn Ottersten","raw_affiliation_strings":["Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg City, Luxembourg"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg City, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074241486"],"corresponding_institution_ids":["https://openalex.org/I186903577"],"apc_list":null,"apc_paid":null,"fwci":3.5087,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.93765725,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"25","issue":"2","first_page":"169","last_page":"173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9973000288009644,"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7523945569992065},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7257906198501587},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6174745559692383},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5471302270889282},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5353085994720459},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5277260541915894},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.5233399271965027},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.494610995054245},{"id":"https://openalex.org/keywords/smart-antenna","display_name":"Smart antenna","score":0.4522157907485962},{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.42310136556625366},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.4152984917163849},{"id":"https://openalex.org/keywords/fusion-center","display_name":"Fusion center","score":0.41515886783599854},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40562140941619873},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.4049531817436218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35193419456481934},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13041147589683533},{"id":"https://openalex.org/keywords/directional-antenna","display_name":"Directional antenna","score":0.08526736497879028}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7523945569992065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7257906198501587},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6174745559692383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5471302270889282},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5353085994720459},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5277260541915894},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.5233399271965027},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.494610995054245},{"id":"https://openalex.org/C143635782","wikidata":"https://www.wikidata.org/wiki/Q1187868","display_name":"Smart antenna","level":4,"score":0.4522157907485962},{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.42310136556625366},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.4152984917163849},{"id":"https://openalex.org/C2781234732","wikidata":"https://www.wikidata.org/wiki/Q943505","display_name":"Fusion center","level":4,"score":0.41515886783599854},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40562140941619873},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.4049531817436218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35193419456481934},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13041147589683533},{"id":"https://openalex.org/C64671776","wikidata":"https://www.wikidata.org/wiki/Q769152","display_name":"Directional antenna","level":3,"score":0.08526736497879028},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lsp.2017.2779276","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2017.2779276","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:orbilu.uni.lu:10993/34362","is_oa":false,"landing_page_url":"https://orbilu.uni.lu/handle/10993/34362","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Signal Processing Letters. IEEE (2018).","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W250076511","https://openalex.org/W595252221","https://openalex.org/W1637524188","https://openalex.org/W1846534543","https://openalex.org/W1974370252","https://openalex.org/W1977901803","https://openalex.org/W2002819510","https://openalex.org/W2007104311","https://openalex.org/W2021723764","https://openalex.org/W2045079045","https://openalex.org/W2079836048","https://openalex.org/W2109967679","https://openalex.org/W2121340892","https://openalex.org/W2124034629","https://openalex.org/W2126351339","https://openalex.org/W2139787801","https://openalex.org/W2148866918","https://openalex.org/W2149358222","https://openalex.org/W2150497041","https://openalex.org/W2150674381","https://openalex.org/W2151930004","https://openalex.org/W2159931577","https://openalex.org/W2168571759","https://openalex.org/W2244987555","https://openalex.org/W2295652899","https://openalex.org/W2593443720","https://openalex.org/W2605904273","https://openalex.org/W2615403133","https://openalex.org/W2741241880","https://openalex.org/W2963973190","https://openalex.org/W3101457173","https://openalex.org/W3104606015","https://openalex.org/W3146700414","https://openalex.org/W4292363360","https://openalex.org/W7008531643"],"related_works":["https://openalex.org/W2155858901","https://openalex.org/W2491194410","https://openalex.org/W4382519099","https://openalex.org/W1515727993","https://openalex.org/W2037179686","https://openalex.org/W2802398440","https://openalex.org/W2144448861","https://openalex.org/W4200589288","https://openalex.org/W2387599608","https://openalex.org/W2098014284"],"abstract_inverted_index":{"In":[0],"this":[1],"letter,":[2],"we":[3,110],"consider":[4],"a":[5,29,34,49,69,154],"network":[6],"of":[7,15,40,48,71,94,118,126,137,149],"single-antenna":[8],"sensors":[9,21],"that":[10,88,108,136],"aim":[11],"at":[12],"the":[13,23,41,46,56,62,72,92,116,122,138,150],"estimation":[14],"an":[16,112],"unknown":[17],"deterministic":[18],"parameter.":[19],"The":[20,38,77,96,128,147],"collect":[22],"observations":[24],"and":[25,160],"forward":[26],"them":[27],"to":[28,135,153],"fusion":[30],"center":[31],"via":[32,61,68,165],"applying":[33],"phase-only":[35],"beamforming":[36,43],"weight.":[37],"derivation":[39],"optimal":[42],"weights":[44],"requires":[45,98],"solution":[47,117],"unit-modulus":[50],"quadratic":[51],"program":[52],"(UQP),":[53],"which":[54],"in":[55],"relevant":[57],"literature":[58],"is":[59,157,163],"solved":[60],"semidefinite":[63],"relaxation":[64],"(SDR)":[65],"technique":[66],"or":[67],"variation":[70],"analytic":[73],"constant":[74],"modulus":[75],"algorithm.":[76],"former":[78],"achieves":[79,104,131],"better":[80],"performance,":[81],"though":[82,102],"it":[83,103],"exhibits":[84],"high":[85],"computational":[86,145],"cost":[87],"increases":[89],"drastically":[90],"with":[91],"number":[93],"sensors.":[95],"latter":[97],"much":[99],"less":[100],"complexity,":[101],"worse":[105],"performance.":[106],"To":[107],"end,":[109],"propose":[111],"efficient":[113],"algorithm":[114,152],"for":[115],"UQPs":[119],"based":[120],"on":[121],"alternating":[123],"direction":[124],"method":[125],"multipliers.":[127],"new":[129],"approach":[130,140],"almost":[132],"identical":[133],"performance":[134],"SDR-based":[139],"while":[141],"exhibiting":[142],"significantly":[143],"reduced":[144],"complexity.":[146],"convergence":[148],"proposed":[151],"Karush\u2013Kuhn\u2013Tucker":[155],"point":[156],"theoretically":[158],"studied,":[159],"its":[161],"effectiveness":[162],"verified":[164],"numerical":[166],"results.":[167]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}