{"id":"https://openalex.org/W2400135428","doi":"https://doi.org/10.1109/icassp.2016.7472396","title":"A polynomial optimization approach for robust beamforming design in a device-to-device two-hop one-way relay network","display_name":"A polynomial optimization approach for robust beamforming design in a device-to-device two-hop one-way relay network","publication_year":2016,"publication_date":"2016-03-01","ids":{"openalex":"https://openalex.org/W2400135428","doi":"https://doi.org/10.1109/icassp.2016.7472396","mag":"2400135428"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2016.7472396","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2016.7472396","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-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/A5063539323","display_name":"Sissi Xiaoxiao Wu","orcid":"https://orcid.org/0000-0003-3451-5603"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Sissi Xiaoxiao Wu","raw_affiliation_strings":["Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003810696","display_name":"Xueying Ni","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueying Ni","raw_affiliation_strings":["Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105881332","display_name":"Anthony Man\u2013Cho So","orcid":"https://orcid.org/0000-0003-2588-7851"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Anthony Man-Cho So","raw_affiliation_strings":["Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063539323"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":0.31904403,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65447928,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"3841","last_page":"3845"},"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/T12791","display_name":"Full-Duplex Wireless Communications","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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9988999962806702,"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/beamforming","display_name":"Beamforming","score":0.7922370433807373},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.7269573211669922},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6486828327178955},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5925187468528748},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5859338641166687},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.5540569424629211},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5125613212585449},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4984157085418701},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.4741101861000061},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4502708613872528},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.4261450469493866},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.41766807436943054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3488578498363495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23102036118507385},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1362912654876709}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7922370433807373},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.7269573211669922},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6486828327178955},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5925187468528748},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5859338641166687},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.5540569424629211},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5125613212585449},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4984157085418701},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.4741101861000061},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4502708613872528},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.4261450469493866},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.41766807436943054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3488578498363495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23102036118507385},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1362912654876709},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2016.7472396","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2016.7472396","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1497289468","https://openalex.org/W1511015053","https://openalex.org/W1969281101","https://openalex.org/W1992942660","https://openalex.org/W2006614803","https://openalex.org/W2046491103","https://openalex.org/W2065385799","https://openalex.org/W2076426934","https://openalex.org/W2078676267","https://openalex.org/W2105820960","https://openalex.org/W2119741793","https://openalex.org/W2128762995","https://openalex.org/W2132070196","https://openalex.org/W2169159983","https://openalex.org/W3098915991","https://openalex.org/W6675851608"],"related_works":["https://openalex.org/W2539674285","https://openalex.org/W1038122923","https://openalex.org/W1998322187","https://openalex.org/W2952514781","https://openalex.org/W3019210376","https://openalex.org/W2391145594","https://openalex.org/W2326572623","https://openalex.org/W1559320887","https://openalex.org/W2389198916","https://openalex.org/W2114237910"],"abstract_inverted_index":{"In":[0,77,136],"this":[1,78],"paper,":[2,79],"we":[3,18,80,102],"consider":[4],"the":[5,20,25,29,51,82,98,109,113,121,130,143,152,164],"robust":[6,132,145],"beamforming":[7,133,146],"design":[8,53,134,147],"in":[9,24,45,75],"a":[10,46,59,94],"device-to-device":[11],"(D2D)":[12],"two-hop":[13],"one-way":[14],"relay":[15],"network.":[16],"Specifically,":[17],"study":[19],"amplify-and-forward":[21],"(AF)":[22],"scheme":[23],"scenario":[26],"where":[27],"both":[28],"transmitter-to-relays":[30],"link":[31,34],"and":[32,87,155],"relays-to-receiver":[33],"are":[35],"subject":[36],"to":[37,72,92,107,123,129],"estimation":[38],"errors.":[39],"Assuming":[40],"that":[41,63,142],"those":[42],"errors":[43],"lie":[44],"ball":[47],"with":[48,74,173],"bounded":[49],"radius,":[50],"resulting":[52],"problem":[54],"can":[55,157],"be":[56],"formulated":[57],"as":[58],"semi-infinite":[60],"program":[61],"(SIP)":[62],"involves":[64],"high-degree":[65],"polynomial":[66,90],"inequality":[67],"constraints,":[68],"which":[69,169],"is":[70,120,148],"difficult":[71],"deal":[73],"general.":[76],"employ":[81],"semidefinite":[83],"relaxation":[84],"(SDR)":[85],"technique":[86],"tools":[88],"from":[89],"optimization":[91],"construct":[93],"safe":[95,110],"approximation":[96,167],"of":[97,115],"aforementioned":[99,131],"SIP.":[100],"Furthermore,":[101],"propose":[103],"an":[104,125],"alternating":[105],"algorithm":[106],"tackle":[108],"approximation.":[111],"To":[112],"best":[114],"our":[116,118,138],"knowledge,":[117],"work":[119],"first":[122],"provide":[124],"efficient":[126],"algorithmic":[127],"approach":[128],"problem.":[135],"addition,":[137],"numerical":[139],"results":[140],"show":[141],"proposed":[144],"more":[149],"reliable":[150],"than":[151,163,176],"non-robust":[153],"counterpart,":[154],"it":[156],"achieve":[158],"better":[159],"signal-to-noise":[160],"ratios":[161],"(SNRs)":[162],"existing":[165],"linear":[166],"approach,":[168],"ignores":[170],"error":[171],"terms":[172],"degree":[174],"higher":[175],"one.":[177]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
