{"id":"https://openalex.org/W2796251028","doi":"https://doi.org/10.1109/tsp.2018.2872823","title":"Symbol-Level Precoding Design Based on Distance Preserving Constructive Interference Regions","display_name":"Symbol-Level Precoding Design Based on Distance Preserving Constructive Interference Regions","publication_year":2018,"publication_date":"2018-10-09","ids":{"openalex":"https://openalex.org/W2796251028","doi":"https://doi.org/10.1109/tsp.2018.2872823","mag":"2796251028"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2018.2872823","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2018.2872823","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/1804.00930","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058769063","display_name":"Alireza Haqiqatnejad","orcid":"https://orcid.org/0000-0002-0881-2543"},"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":"Alireza Haqiqatnejad","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":"middle","author":{"id":"https://openalex.org/A5052971777","display_name":"Farbod Kayhan","orcid":"https://orcid.org/0000-0002-1733-5435"},"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":"Farbod Kayhan","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":3,"corresponding_author_ids":["https://openalex.org/A5058769063"],"corresponding_institution_ids":["https://openalex.org/I186903577"],"apc_list":null,"apc_paid":null,"fwci":3.9094,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.94079003,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"66","issue":"22","first_page":"5817","last_page":"5832"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9997000098228455,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5896323919296265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5441961288452148},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.49174097180366516},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.47459813952445984},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.4720129668712616},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.46124619245529175},{"id":"https://openalex.org/keywords/signal-to-interference-plus-noise-ratio","display_name":"Signal-to-interference-plus-noise ratio","score":0.4516337811946869},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4423257112503052},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4039273262023926},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40372228622436523},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.3044813871383667},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.25449109077453613},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.22174721956253052},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.15053167939186096},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11611407995223999}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5896323919296265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5441961288452148},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.49174097180366516},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.47459813952445984},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.4720129668712616},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.46124619245529175},{"id":"https://openalex.org/C98824394","wikidata":"https://www.wikidata.org/wiki/Q4035626","display_name":"Signal-to-interference-plus-noise ratio","level":3,"score":0.4516337811946869},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4423257112503052},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4039273262023926},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40372228622436523},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.3044813871383667},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.25449109077453613},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.22174721956253052},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.15053167939186096},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11611407995223999},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2018.2872823","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2018.2872823","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:1804.00930","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.00930","pdf_url":"https://arxiv.org/pdf/1804.00930","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"},{"id":"pmh:oai:orbilu.uni.lu:10993/37170","is_oa":true,"landing_page_url":"https://ieeexplore.ieee.org/document/8477154","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing, 66 (22), 5817-5832 (2018-11)","raw_type":"peer reviewed"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1804.00930","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.00930","pdf_url":"https://arxiv.org/pdf/1804.00930","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5}],"awards":[{"id":"https://openalex.org/G7074594703","display_name":null,"funder_award_id":"C16/IS/11332341","funder_id":"https://openalex.org/F4320321038","funder_display_name":"Fonds National de la Recherche Luxembourg"}],"funders":[{"id":"https://openalex.org/F4320321038","display_name":"Fonds National de la Recherche Luxembourg","ror":"https://ror.org/039z13y21"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1534416612","https://openalex.org/W1545861347","https://openalex.org/W1557486844","https://openalex.org/W1873257405","https://openalex.org/W1911476179","https://openalex.org/W1919846929","https://openalex.org/W1981044874","https://openalex.org/W2018295654","https://openalex.org/W2025779053","https://openalex.org/W2044108662","https://openalex.org/W2072599023","https://openalex.org/W2096725988","https://openalex.org/W2098098075","https://openalex.org/W2099003693","https://openalex.org/W2109005286","https://openalex.org/W2109800347","https://openalex.org/W2125987406","https://openalex.org/W2132881059","https://openalex.org/W2145486800","https://openalex.org/W2146761479","https://openalex.org/W2161473225","https://openalex.org/W2163762663","https://openalex.org/W2296029084","https://openalex.org/W2296319761","https://openalex.org/W2436620493","https://openalex.org/W2493051178","https://openalex.org/W2523779616","https://openalex.org/W2529048811","https://openalex.org/W2549620397","https://openalex.org/W2582583737","https://openalex.org/W2594912303","https://openalex.org/W2605577582","https://openalex.org/W2792345893","https://openalex.org/W2792745696","https://openalex.org/W2963064995","https://openalex.org/W4237234927","https://openalex.org/W4244633107","https://openalex.org/W4250589301","https://openalex.org/W6640030288","https://openalex.org/W6726960136","https://openalex.org/W6734407603","https://openalex.org/W6749783694","https://openalex.org/W7014245034"],"related_works":["https://openalex.org/W4281688526","https://openalex.org/W2152088989","https://openalex.org/W2756419127","https://openalex.org/W4312206320","https://openalex.org/W2160052563","https://openalex.org/W2115832833","https://openalex.org/W2803118069","https://openalex.org/W2126408684","https://openalex.org/W4390640000","https://openalex.org/W4384575246"],"abstract_inverted_index":{"In":[0],"this":[1,190],"paper,":[2],"we":[3,66,144],"investigate":[4],"the":[5,12,36,84,87,95,99,102,110,113,131,136,150,160,231,235],"symbol-level":[6],"precoding":[7],"(SLP)":[8],"design":[9,147],"problem":[10,164],"in":[11,72,117,204],"downlink":[13],"of":[14,35,39,54,86,98,112,126,139,189],"a":[15,51,73,77,118,121,181,186],"multiuser":[16],"multiple-input":[17],"single-output":[18],"channel.":[19],"We":[20,49,184,213,227],"consider":[21],"generic":[22],"two-dimensional":[23],"constellations":[24],"with":[25,154],"any":[26,70],"shape":[27],"and":[28,30,56,92,141,159,208,222,229],"size,":[29],"confine":[31],"ourselves":[32],"to":[33,83,130,211,234],"one":[34],"main":[37],"categories":[38],"constructive":[40],"interference":[41],"regions":[42],"(CIR),":[43],"namely":[44,149],"distance":[45],"preserving":[46],"CIR":[47],"(DPCIR).":[48],"provide":[50],"comprehensive":[52],"study":[53],"DPCIRs":[55,140,175],"derive":[57,185],"several":[58],"properties":[59],"for":[60],"these":[61,64],"regions.":[62],"Using":[63,135],"properties,":[65],"first":[67],"show":[68],"that":[69,109],"signal":[71,116],"given":[74],"DPCIR":[75,119],"has":[76],"norm":[78,85],"greater":[79],"than":[80],"or":[81],"equal":[82],"corresponding":[88],"constellation":[89,100],"point":[90],"if":[91,94],"only":[93],"convex":[96,137],"hull":[97],"contains":[101],"origin.":[103],"It":[104],"is":[105,120,193,202],"followed":[106],"by":[107],"proving":[108],"power":[111,152,171],"noise-free":[114],"received":[115],"monotonic":[122],"strictly":[123],"increasing":[124],"function":[125],"two":[127,146],"parameters":[128],"relating":[129],"infinite":[132],"Voronoi":[133],"edges.":[134],"description":[138],"their":[142],"characteristics,":[143],"formulate":[145],"problems,":[148],"SLP":[151,161,170,198],"minimization":[153,172],"signal-to-interference-plus-noise":[155],"ratio":[156],"(SINR)":[157],"constraints,":[158],"SINR":[162],"balancing":[163],"under":[165],"max\u2013min":[166,199],"fairness":[167],"criterion.":[168],"The":[169,197],"based":[173],"on":[174],"can":[176],"straightforwardly":[177],"be":[178],"written":[179],"as":[180],"quadratic":[182],"programming.":[183],"simplified":[187],"reformulation":[188],"problem,":[191],"which":[192],"less":[194],"computationally":[195],"complex.":[196],"SINR,":[200],"however,":[201],"non-convex":[203],"its":[205],"original":[206],"form,":[207],"hence":[209],"difficult":[210],"tackle.":[212],"propose":[214],"alternative":[215,237],"optimization":[216],"approaches,":[217],"including":[218],"semidefinite":[219],"programming":[220],"formulation":[221],"block":[223],"coordinate":[224],"descent":[225],"optimization.":[226],"discuss":[228],"evaluate":[230],"loss":[232],"due":[233],"proposed":[236],"methods":[238],"through":[239],"extensive":[240],"simulation":[241],"results.":[242]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
