{"id":"https://openalex.org/W3013828072","doi":"https://doi.org/10.1109/tsp.2021.3094652","title":"Polar Coded Diversity on Block Fading Channels Via Polar Spectrum","display_name":"Polar Coded Diversity on Block Fading Channels Via Polar Spectrum","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3013828072","doi":"https://doi.org/10.1109/tsp.2021.3094652","mag":"3013828072"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2021.3094652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3094652","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/2003.13320","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008455605","display_name":"Kai Niu","orcid":"https://orcid.org/0000-0002-8076-1867"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Niu","raw_affiliation_strings":["Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts, Telecommunications, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-8076-1867","affiliations":[{"raw_affiliation_string":"Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts, Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100686215","display_name":"Yan Li","orcid":"https://orcid.org/0000-0003-3023-7781"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Li","raw_affiliation_strings":["Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts, Telecommunications, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-3023-7781","affiliations":[{"raw_affiliation_string":"Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts, Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008455605"],"corresponding_institution_ids":["https://openalex.org/I139759216"],"apc_list":null,"apc_paid":null,"fwci":2.2418,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.87854031,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"69","issue":null,"first_page":"4007","last_page":"4022"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"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":0.9959999918937683,"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":0.9904000163078308,"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/fading","display_name":"Fading","score":0.7979403734207153},{"id":"https://openalex.org/keywords/interleaving","display_name":"Interleaving","score":0.7100915908813477},{"id":"https://openalex.org/keywords/polar-code","display_name":"Polar code","score":0.5849402546882629},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.5379462838172913},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.526885986328125},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.525192141532898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5009725093841553},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.46738874912261963},{"id":"https://openalex.org/keywords/diversity-scheme","display_name":"Diversity scheme","score":0.4349586069583893},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42009443044662476},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4200570285320282},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3594871163368225},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.31653308868408203},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14500761032104492},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1056077778339386}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.7979403734207153},{"id":"https://openalex.org/C28034677","wikidata":"https://www.wikidata.org/wiki/Q17092530","display_name":"Interleaving","level":2,"score":0.7100915908813477},{"id":"https://openalex.org/C2778396592","wikidata":"https://www.wikidata.org/wiki/Q7209069","display_name":"Polar code","level":3,"score":0.5849402546882629},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.5379462838172913},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.526885986328125},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.525192141532898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5009725093841553},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.46738874912261963},{"id":"https://openalex.org/C198746922","wikidata":"https://www.wikidata.org/wiki/Q1230593","display_name":"Diversity scheme","level":4,"score":0.4349586069583893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42009443044662476},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4200570285320282},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3594871163368225},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.31653308868408203},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14500761032104492},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1056077778339386},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2021.3094652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3094652","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:2003.13320","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.13320","pdf_url":"https://arxiv.org/pdf/2003.13320","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:2003.13320","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.13320","pdf_url":"https://arxiv.org/pdf/2003.13320","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":[],"awards":[{"id":"https://openalex.org/G6780184771","display_name":null,"funder_award_id":"92067202","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6819493237","display_name":null,"funder_award_id":"62071058","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":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W183754908","https://openalex.org/W1972808865","https://openalex.org/W1975944670","https://openalex.org/W1981735015","https://openalex.org/W1997834106","https://openalex.org/W2009145605","https://openalex.org/W2027593546","https://openalex.org/W2033234285","https://openalex.org/W2061174739","https://openalex.org/W2067474304","https://openalex.org/W2101067964","https://openalex.org/W2117009122","https://openalex.org/W2129543326","https://openalex.org/W2134750166","https://openalex.org/W2150498905","https://openalex.org/W2153863708","https://openalex.org/W2155657434","https://openalex.org/W2164368671","https://openalex.org/W2166099870","https://openalex.org/W2296071988","https://openalex.org/W2339155381","https://openalex.org/W2478927648","https://openalex.org/W2608866305","https://openalex.org/W2610757353","https://openalex.org/W2798333393","https://openalex.org/W2908041465","https://openalex.org/W2910347772","https://openalex.org/W2967707421","https://openalex.org/W2999759127","https://openalex.org/W3039502556","https://openalex.org/W4309145732","https://openalex.org/W6766633340"],"related_works":["https://openalex.org/W2129268222","https://openalex.org/W2576881499","https://openalex.org/W2336515566","https://openalex.org/W2188935720","https://openalex.org/W2034311446","https://openalex.org/W2067522227","https://openalex.org/W2109777509","https://openalex.org/W2604107711","https://openalex.org/W3103716478","https://openalex.org/W2356834760"],"abstract_inverted_index":{"Due":[0],"to":[1,11,30,104,159,176,187,221],"the":[2,12,32,39,49,53,62,66,75,78,83,88,91,96,101,106,113,122,126,133,140,144,156,164,173,178,182,189,192,198,206],"advantage":[3],"of":[4,35,41,69,87,128,146,191],"capacity-achieving,":[5],"polar":[6,36,58,109,136,141,161,232],"codes":[7,37,162,223,233],"have":[8],"been":[9],"extended":[10],"block":[13,42,97,165,246],"fading":[14,147,166,247],"channel":[15,71],"whereas":[16],"most":[17],"constructions":[18],"involve":[19],"complex":[20],"iterative-calculation.":[21],"In":[22],"this":[23],"paper,":[24],"we":[25,60,99,131,154],"establish":[26],"a":[27,150],"systematic":[28],"framework":[29],"analyze":[31],"error":[33,67],"performance":[34,238],"in":[38,95,121,224,245],"case":[40,93],"mapping":[43],"and":[44,82,143,181,215],"random":[45,123],"mapping.":[46],"For":[47,90,117],"both":[48,225],"mappings,":[50],"by":[51,138,202],"introducing":[52],"new":[54],"concept,":[55],"named":[56,210],"split":[57,108,135],"spectrum,":[59],"derive":[61,132],"upper":[63],"bound":[64],"on":[65,112,242],"probability":[68,145],"polarized":[70,211],"which":[72],"explicitly":[73],"reveals":[74],"relationship":[76],"between":[77],"diversity":[79,119,170,179,212],"order":[80,120],"L":[81],"block-wise":[84,193],"weight":[85,213],"distribution":[86],"codeword.":[89],"special":[92],"L=2":[94],"mapping,":[98,124],"design":[100,157,204],"enumeration":[102],"algorithm":[103],"calculate":[105],"exact":[107],"spectrum":[110,137,142],"based":[111,241],"general":[114],"MacWilliams":[115],"identities.":[116],"arbitrary":[118],"with":[125,234],"help":[127],"uniform":[129],"interleaving,":[130],"approximate":[134],"combining":[139],"pattern":[148],"for":[149],"specific":[151],"weight.":[152],"Furthermore,":[153],"propose":[155],"criteria":[158],"construct":[160,231],"over":[163,239],"channel.":[167,248],"The":[168],"full":[169],"criterion":[171,185],"is":[172],"primary":[174],"target":[175],"achieve":[177],"gain":[180],"product":[183,190],"distance":[184,195],"requires":[186],"maximize":[188],"Hamming":[194],"whereby":[196],"obtain":[197],"coding":[199],"gain.":[200],"Guided":[201],"these":[203],"criteria,":[205],"construction":[207],"metrics,":[208],"respectively":[209],"(PDW)":[214],"simplified":[216],"PDW":[217],"(SPDW)":[218],"are":[219],"proposed":[220],"designpolar":[222],"mappings.":[226],"Such":[227],"simple":[228],"metrics":[229],"can":[230],"similar":[235],"or":[236],"better":[237],"those":[240],"traditional":[243],"methods":[244]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
