{"id":"https://openalex.org/W3213814711","doi":"https://doi.org/10.1109/tsp.2021.3125139","title":"A Fast Algorithm for Fractional QCQP and Applications to Secure Beamforming in Cognitive Nonorthogonal Multiple Access Networks","display_name":"A Fast Algorithm for Fractional QCQP and Applications to Secure Beamforming in Cognitive Nonorthogonal Multiple Access Networks","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3213814711","doi":"https://doi.org/10.1109/tsp.2021.3125139","mag":"3213814711"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2021.3125139","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3125139","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/A5054618045","display_name":"Hualiang Luo","orcid":"https://orcid.org/0000-0001-9967-5064"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hualiang Luo","raw_affiliation_strings":["School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, Guangdong, China, 510006 (e-mail: luohliang@mail2.sysu.edu.cn)","[School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, Guangdong, China, 510006 (e-mail: luohliang@mail2.sysu.edu.cn)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, Guangdong, China, 510006 (e-mail: luohliang@mail2.sysu.edu.cn)","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"[School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, Guangdong, China, 510006 (e-mail: luohliang@mail2.sysu.edu.cn)]","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029717787","display_name":"Quanzhong Li","orcid":"https://orcid.org/0000-0001-8047-2830"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quanzhong Li","raw_affiliation_strings":["School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, Guangdong, China, (e-mail: liquanzh@mail.sysu.edu.cn)","[School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, Guangdong, China, (e-mail: liquanzh@mail.sysu.edu.cn)]"],"raw_orcid":"https://orcid.org/0000-0001-8047-2830","affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, Guangdong, China, (e-mail: liquanzh@mail.sysu.edu.cn)","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"[School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, Guangdong, China, (e-mail: liquanzh@mail.sysu.edu.cn)]","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015729753","display_name":"Liang Yang","orcid":"https://orcid.org/0000-0002-6576-332X"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Yang","raw_affiliation_strings":["College of Computer Science and Electronic Engineering, Hunan University, Changsha, Hunan, China, (e-mail: liangy@hnu.edu.cn)","[College of Computer Science and Electronic Engineering, Hunan University, Changsha, Hunan, China, (e-mail: liangy@hnu.edu.cn)]"],"raw_orcid":"https://orcid.org/0000-0002-6576-332X","affiliations":[{"raw_affiliation_string":"College of Computer Science and Electronic Engineering, Hunan University, Changsha, Hunan, China, (e-mail: liangy@hnu.edu.cn)","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"[College of Computer Science and Electronic Engineering, Hunan University, Changsha, Hunan, China, (e-mail: liangy@hnu.edu.cn)]","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110380454","display_name":"Jiayin Qin","orcid":null},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiayin Qin","raw_affiliation_strings":["School of Electronics and Information Technology, Sun Yat-Sen University, Guangzhou, China, (e-mail: issqjy@mail.sysu.edu.cn)","[School of Electronics and Information Technology, Sun Yat-Sen University, Guangzhou, China, (e-mail: issqjy@mail.sysu.edu.cn)]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-Sen University, Guangzhou, China, (e-mail: issqjy@mail.sysu.edu.cn)","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"[School of Electronics and Information Technology, Sun Yat-Sen University, Guangzhou, China, (e-mail: issqjy@mail.sysu.edu.cn)]","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.8084,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.69807194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"69","issue":null,"first_page":"6237","last_page":"6250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11458","display_name":"Advanced Wireless Communication Technologies","score":1.0,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":1.0,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9994999766349792,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994000196456909,"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":0.7346266508102417},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6103448271751404},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4821702837944031},{"id":"https://openalex.org/keywords/cognitive-radio","display_name":"Cognitive radio","score":0.44407761096954346},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4377150535583496},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20241779088974},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.18103402853012085}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7346266508102417},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6103448271751404},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4821702837944031},{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.44407761096954346},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4377150535583496},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20241779088974},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.18103402853012085},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2021.3125139","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3125139","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":[{"id":"https://openalex.org/G6020474797","display_name":null,"funder_award_id":"61802447","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7839224366","display_name":null,"funder_award_id":"2018B0303110016","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W81972919","https://openalex.org/W391578156","https://openalex.org/W1484024531","https://openalex.org/W1889296357","https://openalex.org/W1910922433","https://openalex.org/W1975560312","https://openalex.org/W1988455182","https://openalex.org/W1989064223","https://openalex.org/W1991264581","https://openalex.org/W1996215314","https://openalex.org/W2046084102","https://openalex.org/W2083328837","https://openalex.org/W2100573451","https://openalex.org/W2110080341","https://openalex.org/W2119313631","https://openalex.org/W2156577211","https://openalex.org/W2171847598","https://openalex.org/W2236834722","https://openalex.org/W2319951883","https://openalex.org/W2343272313","https://openalex.org/W2508393166","https://openalex.org/W2550611391","https://openalex.org/W2551126468","https://openalex.org/W2559328514","https://openalex.org/W2582744858","https://openalex.org/W2789624023","https://openalex.org/W2807224212","https://openalex.org/W2914122115","https://openalex.org/W2945328302","https://openalex.org/W2948043488","https://openalex.org/W2948781686","https://openalex.org/W2963332947","https://openalex.org/W2963674318","https://openalex.org/W2964184254","https://openalex.org/W2964324486","https://openalex.org/W2964329178","https://openalex.org/W2973110004","https://openalex.org/W2974180474","https://openalex.org/W3024296020","https://openalex.org/W3042557243","https://openalex.org/W3096513223","https://openalex.org/W4250589301","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2144448861","https://openalex.org/W2316668687","https://openalex.org/W2012276979","https://openalex.org/W2110449186","https://openalex.org/W2110979476","https://openalex.org/W2114133721","https://openalex.org/W2032121723","https://openalex.org/W2058380726","https://openalex.org/W2585601665","https://openalex.org/W2069581661"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,42],"investigate":[4],"a":[5,16,44],"nonconvex":[6],"fractional":[7,49,118],"quadratically":[8],"constrained":[9],"quadratic":[10],"problem":[11],"(fractional":[12],"QCQP),":[13],"which":[14,66],"has":[15,67,149],"wide":[17],"application":[18],"to":[19,34,87],"the":[20,30,53,59,83,137,141,145],"resource":[21],"allocation":[22],"optimization":[23,106],"in":[24,75,96,108],"wireless":[25],"communication":[26],"systems.":[27],"Different":[28],"from":[29],"state-of-the-art":[31,142],"methods":[32],"needing":[33],"solve":[35],"semidefinite":[36],"programmings":[37],"or":[38],"second-order":[39],"cone":[40],"programmings,":[41],"propose":[43],"fast":[45,74,85,133,147],"algorithm":[46,86,134,148],"for":[47,91],"solving":[48],"QCQP":[50],"by":[51],"combining":[52],"successive":[54],"convex":[55],"approximation":[56],"method":[57,63],"and":[58,71,111,120],"consensus":[60],"alternating":[61],"direction":[62],"of":[64],"multipliers,":[65],"only":[68],"simple":[69],"computations":[70],"works":[72],"very":[73,150],"applications":[76],"with":[77],"modest":[78],"accuracy.":[79],"We":[80],"also":[81],"apply":[82],"proposed":[84,132,146],"secure":[88],"beamforming":[89],"design":[90],"enhancing":[92],"physical":[93],"layer":[94],"security":[95],"cognitive":[97,113],"nonorthogonal":[98],"multiple":[99],"access":[100],"(NOMA)":[101],"networks,":[102],"where":[103],"secrecy":[104],"rate":[105],"problems":[107],"both":[109],"underlay":[110],"overly":[112],"NOMA":[114],"networks":[115],"are":[116],"typical":[117],"QCQPs":[119],"have":[121,128],"not":[122],"been":[123],"well":[124],"studied.":[125],"Simulation":[126],"results":[127],"shown":[129],"that":[130],"our":[131],"achieves":[135],"almost":[136],"same":[138],"performance":[139],"as":[140],"methods,":[143],"however,":[144],"low":[151],"computation":[152],"complexity.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}