{"id":"https://openalex.org/W2965782525","doi":"https://doi.org/10.1186/s13638-019-1520-3","title":"Interference alignment schemes for k-user interference channel based on manifold optimization","display_name":"Interference alignment schemes for k-user interference channel based on manifold optimization","publication_year":2019,"publication_date":"2019-08-05","ids":{"openalex":"https://openalex.org/W2965782525","doi":"https://doi.org/10.1186/s13638-019-1520-3","mag":"2965782525"},"language":"en","primary_location":{"id":"doi:10.1186/s13638-019-1520-3","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-019-1520-3","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/track/pdf/10.1186/s13638-019-1520-3","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://jwcn-eurasipjournals.springeropen.com/track/pdf/10.1186/s13638-019-1520-3","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100374147","display_name":"Chen Zhang","orcid":"https://orcid.org/0000-0002-8878-0560"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chen Zhang","raw_affiliation_strings":["College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","National Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"National Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100406056","display_name":"Ziwei Liu","orcid":"https://orcid.org/0000-0003-3246-315X"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziwei Liu","raw_affiliation_strings":["College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","National Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"National Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085914970","display_name":"Tao Hong","orcid":"https://orcid.org/0000-0002-9270-3074"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Hong","raw_affiliation_strings":["College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","National Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"National Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101445073","display_name":"Gengxin Zhang","orcid":"https://orcid.org/0000-0001-7962-6695"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gengxin Zhang","raw_affiliation_strings":["College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","National Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"National Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003, People\u2019s Republic of China","institution_ids":["https://openalex.org/I41198531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100374147"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":0.2421,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55227799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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/T10125","display_name":"Advanced Wireless Communication Techniques","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"}}],"keywords":[{"id":"https://openalex.org/keywords/stiefel-manifold","display_name":"Stiefel manifold","score":0.8899170756340027},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7671757936477661},{"id":"https://openalex.org/keywords/interference-alignment","display_name":"Interference alignment","score":0.6855653524398804},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6166639924049377},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.5905463099479675},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.5346120595932007},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5301694869995117},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4935091733932495},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.49039173126220703},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4661606252193451},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.465175598859787},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.4398006796836853},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4389113187789917},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.4306378662586212},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4277758002281189},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20299795269966125},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.19223502278327942},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10542953014373779},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.08952516317367554}],"concepts":[{"id":"https://openalex.org/C612670","wikidata":"https://www.wikidata.org/wiki/Q7616373","display_name":"Stiefel manifold","level":2,"score":0.8899170756340027},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7671757936477661},{"id":"https://openalex.org/C2982854036","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference alignment","level":4,"score":0.6855653524398804},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6166639924049377},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.5905463099479675},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.5346120595932007},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5301694869995117},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4935091733932495},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.49039173126220703},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4661606252193451},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.465175598859787},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4398006796836853},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4389113187789917},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.4306378662586212},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4277758002281189},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20299795269966125},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.19223502278327942},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10542953014373779},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.08952516317367554},{"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},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1186/s13638-019-1520-3","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-019-1520-3","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/track/pdf/10.1186/s13638-019-1520-3","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a4097c28974e4a308a236550455a6922","is_oa":true,"landing_page_url":"https://doaj.org/article/a4097c28974e4a308a236550455a6922","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking, Vol 2019, Iss 1, Pp 1-11 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s13638-019-1520-3","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-019-1520-3","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/track/pdf/10.1186/s13638-019-1520-3","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G37568934","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4906116743","display_name":null,"funder_award_id":"91738201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7538546204","display_name":null,"funder_award_id":"9173820","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2965782525.pdf","grobid_xml":"https://content.openalex.org/works/W2965782525.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W151604921","https://openalex.org/W1511526715","https://openalex.org/W1537335979","https://openalex.org/W1772591849","https://openalex.org/W1804110266","https://openalex.org/W1862139491","https://openalex.org/W1870050147","https://openalex.org/W1966272259","https://openalex.org/W2010213837","https://openalex.org/W2064191652","https://openalex.org/W2078483498","https://openalex.org/W2098363461","https://openalex.org/W2271854708","https://openalex.org/W2295825611","https://openalex.org/W2296319761","https://openalex.org/W2534490089","https://openalex.org/W2559886345","https://openalex.org/W2597970172","https://openalex.org/W2731826757","https://openalex.org/W2788499634","https://openalex.org/W2791260270","https://openalex.org/W2909191390","https://openalex.org/W2963167705","https://openalex.org/W2963287463","https://openalex.org/W2963557622","https://openalex.org/W2963856272","https://openalex.org/W2964312370","https://openalex.org/W3105345034","https://openalex.org/W3105650387","https://openalex.org/W4205293427","https://openalex.org/W4246616525","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2963438473","https://openalex.org/W2037307649","https://openalex.org/W4300895095","https://openalex.org/W8105021","https://openalex.org/W1966272259","https://openalex.org/W2171681635","https://openalex.org/W1964234337","https://openalex.org/W2111349105","https://openalex.org/W2965782525","https://openalex.org/W2950569304"],"abstract_inverted_index":{"Interference":[0],"alignment":[1,38],"(IA)":[2],"is":[3,19,34,130],"a":[4,79,90,109],"key":[5],"technology":[6],"for":[7,44,136],"achieving":[8],"the":[9,23,50,57,64,70,84,101,125,127,138,145,165],"capacity":[10],"scaling":[11],"required":[12],"by":[13,67],"next":[14],"generation":[15],"wireless":[16],"networks,":[17],"which":[18],"proved":[20],"to":[21,35,62,94,132],"obtain":[22],"maximum":[24,166],"degrees":[25],"of":[26,31,59],"freedom":[27],"(DoF).":[28],"The":[29],"aim":[30],"this":[32,115],"paper":[33],"propose":[36,108],"interference":[37,46],"schemes":[39],"through":[40],"manifold":[41,106,116,129],"optimization":[42,51,102],"theory":[43],"K-user":[45],"channel.":[47],"We":[48],"limit":[49],"only":[52],"at":[53,122],"transmitters":[54],"and":[55,72,107,157,162],"relax":[56],"hypothesis":[58],"channel":[60],"reciprocity":[61],"mitigate":[63],"overhead":[65],"caused":[66],"alternation":[68],"between":[69],"forward":[71],"reverse":[73],"links":[74],"significantly.":[75],"Firstly,":[76],"we":[77,99],"introduce":[78],"classical":[80,160],"algorithm":[81,88,112,135],"based":[82,113],"on":[83,104,114,148,154],"steepest":[85],"descent":[86],"(SD)":[87],"in":[89],"multi-dimensional":[91],"complex":[92],"space":[93],"achieve":[95,164],"feasible":[96],"IA.":[97,140],"Then,":[98],"reform":[100],"problem":[103],"Stiefel":[105],"novel":[110],"SD":[111],"with":[117],"lower":[118],"dimensions.":[119],"Moreover,":[120],"aiming":[121],"further":[123],"reducing":[124],"complexity,":[126],"Grassmann":[128],"introduced":[131],"derive":[133],"corresponding":[134],"reaching":[137],"perfect":[139],"Numerical":[141],"simulations":[142],"show":[143],"that":[144],"proposed":[146],"algorithms":[147],"manifolds":[149],"have":[150],"better":[151],"performance":[152],"both":[153],"system":[155],"throughput":[156],"convergence":[158],"than":[159],"methods":[161],"also":[163],"DoF.":[167]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}