{"id":"https://openalex.org/W4409490948","doi":"https://doi.org/10.1587/transfun.2025eal2011","title":"Optimal Backward Transmission of Reciprocal X Channels with Two Receivers via Cyclic Interference Alignment","display_name":"Optimal Backward Transmission of Reciprocal X Channels with Two Receivers via Cyclic Interference Alignment","publication_year":2025,"publication_date":"2025-04-16","ids":{"openalex":"https://openalex.org/W4409490948","doi":"https://doi.org/10.1587/transfun.2025eal2011"},"language":"en","primary_location":{"id":"doi:10.1587/transfun.2025eal2011","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2025eal2011","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/advpub/0/advpub_2025EAL2011/_pdf","source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.jstage.jst.go.jp/article/transfun/advpub/0/advpub_2025EAL2011/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032602561","display_name":"Daozheng CHEN","orcid":null},"institutions":[{"id":"https://openalex.org/I96733725","display_name":"Shanghai Maritime University","ror":"https://ror.org/04z7qrj66","country_code":"CN","type":"education","lineage":["https://openalex.org/I96733725"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Daozheng CHEN","raw_affiliation_strings":["College of Information Engineering, Shanghai Maritime University","Informatization Office, Shanghai Maritime University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Shanghai Maritime University","institution_ids":["https://openalex.org/I96733725"]},{"raw_affiliation_string":"Informatization Office, Shanghai Maritime University","institution_ids":["https://openalex.org/I96733725"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100415254","display_name":"Feng Liu","orcid":"https://orcid.org/0000-0002-2295-349X"},"institutions":[{"id":"https://openalex.org/I96733725","display_name":"Shanghai Maritime University","ror":"https://ror.org/04z7qrj66","country_code":"CN","type":"education","lineage":["https://openalex.org/I96733725"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng LIU","raw_affiliation_strings":["College of Information Engineering, Shanghai Maritime University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Shanghai Maritime University","institution_ids":["https://openalex.org/I96733725"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004819777","display_name":"Conggai LI","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154361","display_name":"Shanghai Jian Qiao University","ror":"https://ror.org/04xdqtw10","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210154361"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Conggai LI","raw_affiliation_strings":["College of Information Technology, Shanghai Jian Qiao University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Technology, Shanghai Jian Qiao University","institution_ids":["https://openalex.org/I4210154361"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100776555","display_name":"Jun Gao","orcid":"https://orcid.org/0000-0002-6750-8496"},"institutions":[{"id":"https://openalex.org/I96733725","display_name":"Shanghai Maritime University","ror":"https://ror.org/04z7qrj66","country_code":"CN","type":"education","lineage":["https://openalex.org/I96733725"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun GAO","raw_affiliation_strings":["College of Information Engineering, Shanghai Maritime University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Shanghai Maritime University","institution_ids":["https://openalex.org/I96733725"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067536216","display_name":"Yanli Xu","orcid":"https://orcid.org/0000-0001-8218-7195"},"institutions":[{"id":"https://openalex.org/I96733725","display_name":"Shanghai Maritime University","ror":"https://ror.org/04z7qrj66","country_code":"CN","type":"education","lineage":["https://openalex.org/I96733725"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanli XU","raw_affiliation_strings":["College of Information Engineering, Shanghai Maritime University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Shanghai Maritime University","institution_ids":["https://openalex.org/I96733725"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4626,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61644361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"E108.A","issue":"10","first_page":"1435","last_page":"1438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9980999827384949,"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":0.9980999827384949,"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/T10069","display_name":"Antenna Design and Analysis","score":0.9958000183105469,"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"}},{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9952999949455261,"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/interference","display_name":"Interference (communication)","score":0.6957883834838867},{"id":"https://openalex.org/keywords/interference-alignment","display_name":"Interference alignment","score":0.6609682440757751},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.6473631262779236},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.6157541275024414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.515438437461853},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4270130693912506},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3675336241722107},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34464114904403687},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.33848893642425537},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.25769317150115967},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.24791839718818665}],"concepts":[{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.6957883834838867},{"id":"https://openalex.org/C2982854036","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference alignment","level":4,"score":0.6609682440757751},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.6473631262779236},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.6157541275024414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.515438437461853},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4270130693912506},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3675336241722107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34464114904403687},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.33848893642425537},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25769317150115967},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.24791839718818665},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transfun.2025eal2011","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2025eal2011","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/advpub/0/advpub_2025EAL2011/_pdf","source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1587/transfun.2025eal2011","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2025eal2011","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/advpub/0/advpub_2025EAL2011/_pdf","source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7413427463","display_name":null,"funder_award_id":"2021-01","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7925353548","display_name":null,"funder_award_id":"2021-01-07-00-10-E00121","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G8296817548","display_name":null,"funder_award_id":"62271303","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"},{"id":"https://openalex.org/F4320321881","display_name":"Shanghai Municipal Education Commission","ror":"https://ror.org/05tewj457"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409490948.pdf","grobid_xml":"https://content.openalex.org/works/W4409490948.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1989498245","https://openalex.org/W2159013414","https://openalex.org/W2168448439","https://openalex.org/W2570477457","https://openalex.org/W2947259116","https://openalex.org/W2987657249","https://openalex.org/W3130376041","https://openalex.org/W4221146467","https://openalex.org/W4296501413","https://openalex.org/W4299908395","https://openalex.org/W4306295039","https://openalex.org/W4312719723","https://openalex.org/W4317418730","https://openalex.org/W4322576964","https://openalex.org/W4387872688","https://openalex.org/W4387885586","https://openalex.org/W4393925467","https://openalex.org/W4402449894"],"related_works":["https://openalex.org/W2950203496","https://openalex.org/W1510166563","https://openalex.org/W2107805969","https://openalex.org/W2487408447","https://openalex.org/W2078389981","https://openalex.org/W2062578238","https://openalex.org/W2015991355","https://openalex.org/W2039228147","https://openalex.org/W1983195691","https://openalex.org/W2088537918"],"abstract_inverted_index":{"For":[0],"a":[1],"given":[2],"forward":[3,43],"transmission":[4,8,27,75,92],"scheme,":[5],"the":[6,25,29,49,69,73,77,84,94],"backward":[7,26,74],"in":[9,15,68],"reverse":[10],"direction":[11],"is":[12,40],"often":[13],"wanted":[14],"practical":[16],"communications.":[17],"This":[18],"letter":[19],"proposes":[20],"an":[21],"optimal":[22,90],"scheme":[23],"for":[24],"of":[28,80,93],"propagation-delay":[30],"(PD)":[31],"based":[32],"general":[33],"X":[34,95],"channel":[35,96],"with":[36,83,97],"two":[37,98],"receivers,":[38],"which":[39,88],"reciprocal":[41,85],"to":[42,54],"transmission.":[44],"With":[45],"cyclic":[46],"interference":[47],"alignment,":[48],"desired":[50],"messages":[51,65],"are":[52,66],"shown":[53],"be":[55],"allocated":[56],"at":[57],"specified":[58],"time-slots":[59],"without":[60],"interference,":[61],"while":[62],"other":[63],"interfering":[64],"aligned":[67],"remaining":[70],"time-slots.":[71],"Thus":[72],"achieves":[76],"maximal":[78],"degrees":[79],"freedom":[81],"(DoF)":[82],"PD":[86],"channel,":[87],"supports":[89],"bidirectional":[91],"receivers.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}