{"id":"https://openalex.org/W2788350651","doi":"https://doi.org/10.1109/tsp.2018.2812733","title":"Fractional Programming for Communication Systems\u2014Part I: Power Control and Beamforming","display_name":"Fractional Programming for Communication Systems\u2014Part I: Power Control and Beamforming","publication_year":2018,"publication_date":"2018-03-12","ids":{"openalex":"https://openalex.org/W2788350651","doi":"https://doi.org/10.1109/tsp.2018.2812733","mag":"2788350651"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2018.2812733","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2018.2812733","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/1802.10192","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022905256","display_name":"Kaiming Shen","orcid":"https://orcid.org/0000-0003-0680-7975"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Kaiming Shen","raw_affiliation_strings":["Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Canada"],"raw_orcid":"https://orcid.org/0000-0003-0680-7975","affiliations":[{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004681822","display_name":"Wei Yu","orcid":"https://orcid.org/0000-0002-7453-422X"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Wei Yu","raw_affiliation_strings":["Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Canada"],"raw_orcid":"https://orcid.org/0000-0002-7453-422X","affiliations":[{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":38.5159,"has_fulltext":false,"cited_by_count":1832,"citation_normalized_percentile":{"value":0.9992625,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"66","issue":"10","first_page":"2616","last_page":"2630"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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"}},{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9932000041007996,"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/T11946","display_name":"Antenna Design and Optimization","score":0.9929999709129333,"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/beamforming","display_name":"Beamforming","score":0.7453004717826843},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6606155633926392},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6012188196182251},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4945666491985321},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48988431692123413},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.47990453243255615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4575156569480896},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.44755908846855164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43560630083084106},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4215022921562195},{"id":"https://openalex.org/keywords/fractional-programming","display_name":"Fractional programming","score":0.42052823305130005},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.25868865847587585},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.13691800832748413}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7453004717826843},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6606155633926392},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6012188196182251},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4945666491985321},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48988431692123413},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.47990453243255615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4575156569480896},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.44755908846855164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43560630083084106},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4215022921562195},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.42052823305130005},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.25868865847587585},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.13691800832748413},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2018.2812733","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2018.2812733","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:1802.10192","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.10192","pdf_url":"https://arxiv.org/pdf/1802.10192","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1802.10192","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.10192","pdf_url":"https://arxiv.org/pdf/1802.10192","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":[{"display_name":"Affordable and clean energy","score":0.9100000262260437,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W596538300","https://openalex.org/W618155116","https://openalex.org/W1495367673","https://openalex.org/W1507300232","https://openalex.org/W1556949287","https://openalex.org/W1965337380","https://openalex.org/W1967956032","https://openalex.org/W1970830346","https://openalex.org/W1975273809","https://openalex.org/W1994623385","https://openalex.org/W1997988602","https://openalex.org/W1999218360","https://openalex.org/W2029650406","https://openalex.org/W2031092768","https://openalex.org/W2036279698","https://openalex.org/W2036504595","https://openalex.org/W2067171884","https://openalex.org/W2072545455","https://openalex.org/W2090869342","https://openalex.org/W2091502075","https://openalex.org/W2096380022","https://openalex.org/W2098473710","https://openalex.org/W2100755644","https://openalex.org/W2108991453","https://openalex.org/W2115923417","https://openalex.org/W2119854596","https://openalex.org/W2124015406","https://openalex.org/W2126351339","https://openalex.org/W2150957592","https://openalex.org/W2151278498","https://openalex.org/W2154163615","https://openalex.org/W2156577211","https://openalex.org/W2163762663","https://openalex.org/W2170131502","https://openalex.org/W2211148590","https://openalex.org/W2290409208","https://openalex.org/W2408026441","https://openalex.org/W2589615107","https://openalex.org/W2788428941","https://openalex.org/W4213378752","https://openalex.org/W4234030535","https://openalex.org/W4247266545","https://openalex.org/W4289258969","https://openalex.org/W4292905913","https://openalex.org/W4293229790","https://openalex.org/W4297970685","https://openalex.org/W4361867455","https://openalex.org/W4378974380","https://openalex.org/W6808685858"],"related_works":["https://openalex.org/W103185312","https://openalex.org/W4236268295","https://openalex.org/W2110326814","https://openalex.org/W2974270088","https://openalex.org/W3179725126","https://openalex.org/W2757098798","https://openalex.org/W4236087151","https://openalex.org/W4302353319","https://openalex.org/W2761543104","https://openalex.org/W3200639542"],"abstract_inverted_index":{"This":[0,84,136],"two-part":[1],"paper":[2,20,85,156],"explores":[3],"the":[4,9,42,58,61,70,87,113,120,126,162,171,175,179],"use":[5],"of":[6,13,18,72,89,133,186,194],"FP":[7,23,45,50,65,90,164],"in":[8,95,170,191],"design":[10,77],"and":[11,25,104,166,178],"optimization":[12,71,121,146,185],"communication":[14,73,96],"systems.":[15],"Part":[16,192],"I":[17],"this":[19,195],"focuses":[21],"on":[22,26],"theory":[24],"solving":[27,92],"continuous":[28,93],"problems.":[29,135],"The":[30,155,184],"main":[31],"theoretical":[32],"contribution":[33],"is":[34,189],"a":[35,131,152],"novel":[36],"quadratic":[37,115],"transform":[38,116],"technique":[39],"for":[40,69,100],"tackling":[41],"multiple-ratio":[43],"concave-convex":[44],"problem--in":[46],"contrast":[47],"to":[48,91,142,151],"conventional":[49],"techniques":[51],"that":[52,112],"mostly":[53],"can":[54,117],"only":[55],"deal":[56],"with":[57,148],"single-ratio":[59],"or":[60],"max-min-ratio":[62],"case.":[63],"Multiple-ratio":[64],"problems":[66,94,188],"are":[67],"important":[68],"networks,":[74],"because":[75],"system-level":[76],"often":[78],"involves":[79],"multiple":[80],"signal-to-interference-plus-noise":[81],"ratio":[82],"terms.":[83],"considers":[86],"applications":[88],"system":[97],"design,":[98],"particularly":[99],"power":[101],"control,":[102],"beamforming,":[103],"energy":[105],"efficiency":[106],"maximization.":[107],"These":[108],"application":[109],"cases":[110],"illustrate":[111],"proposed":[114,163],"greatly":[118],"facilitate":[119],"involving":[122],"ratios":[123],"by":[124],"recasting":[125],"original":[127],"nonconvex":[128],"problem":[129,138],"as":[130,174],"sequence":[132],"convex":[134],"FP-based":[137],"reformulation":[139],"gives":[140],"rise":[141],"an":[143],"efficient":[144],"iterative":[145],"algorithm":[147],"provable":[149],"convergence":[150],"stationary":[153],"point.":[154],"further":[157],"demonstrates":[158],"close":[159],"connections":[160],"between":[161],"approach":[165],"other":[167],"well-known":[168],"algorithms":[169],"literature,":[172],"such":[173],"fixed-point":[176],"iteration":[177],"weighted":[180],"minimum":[181],"mean-square-error":[182],"beamforming.":[183],"discrete":[187],"discussed":[190],"II":[193],"paper.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":93},{"year":2025,"cited_by_count":426},{"year":2024,"cited_by_count":368},{"year":2023,"cited_by_count":329},{"year":2022,"cited_by_count":226},{"year":2021,"cited_by_count":152},{"year":2020,"cited_by_count":121},{"year":2019,"cited_by_count":82},{"year":2018,"cited_by_count":35}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}
