{"id":"https://openalex.org/W3039502556","doi":"https://doi.org/10.1109/tvt.2020.3005914","title":"Polar Codes for Fast Fading Channel: Design Based on Polar Spectrum","display_name":"Polar Codes for Fast Fading Channel: Design Based on Polar Spectrum","publication_year":2020,"publication_date":"2020-06-30","ids":{"openalex":"https://openalex.org/W3039502556","doi":"https://doi.org/10.1109/tvt.2020.3005914","mag":"3039502556"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2020.3005914","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2020.3005914","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-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/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":["Ministry of Education, Key Laboratory of Universal Wireless Communications, Beijing University of Posts and Telecommunications, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-8076-1867","affiliations":[{"raw_affiliation_string":"Ministry of Education, Key Laboratory of Universal Wireless Communications, Beijing University of Posts and 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":["Ministry of Education, Key Laboratory of Universal Wireless Communications, Beijing University of Posts and Telecommunications, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-3023-7781","affiliations":[{"raw_affiliation_string":"Ministry of Education, Key Laboratory of Universal Wireless Communications, Beijing University of Posts and 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":2.9135,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.91302542,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"69","issue":"9","first_page":"10103","last_page":"10114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":1.0,"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":1.0,"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":0.9986000061035156,"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/T12029","display_name":"DNA and Biological Computing","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.8446779251098633},{"id":"https://openalex.org/keywords/rician-fading","display_name":"Rician fading","score":0.7203163504600525},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.5719003677368164},{"id":"https://openalex.org/keywords/polar-code","display_name":"Polar code","score":0.5403931140899658},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.5272936820983887},{"id":"https://openalex.org/keywords/fading-distribution","display_name":"Fading distribution","score":0.5193597078323364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4799945056438446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4567263722419739},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.43093064427375793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4099391996860504},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4028722047805786},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38259437680244446},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3672962188720703},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.33989331126213074},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.22108352184295654},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16084301471710205},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13815295696258545},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07897824048995972}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.8446779251098633},{"id":"https://openalex.org/C60472773","wikidata":"https://www.wikidata.org/wiki/Q7331156","display_name":"Rician fading","level":4,"score":0.7203163504600525},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.5719003677368164},{"id":"https://openalex.org/C2778396592","wikidata":"https://www.wikidata.org/wiki/Q7209069","display_name":"Polar code","level":3,"score":0.5403931140899658},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.5272936820983887},{"id":"https://openalex.org/C161126049","wikidata":"https://www.wikidata.org/wiki/Q5429266","display_name":"Fading distribution","level":5,"score":0.5193597078323364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4799945056438446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4567263722419739},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43093064427375793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4099391996860504},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4028722047805786},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38259437680244446},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3672962188720703},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.33989331126213074},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.22108352184295654},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16084301471710205},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13815295696258545},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07897824048995972},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2020.3005914","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2020.3005914","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G728967117","display_name":null,"funder_award_id":"61671080","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":29,"referenced_works":["https://openalex.org/W183754908","https://openalex.org/W1972808865","https://openalex.org/W1975944670","https://openalex.org/W1981735015","https://openalex.org/W2009145605","https://openalex.org/W2033234285","https://openalex.org/W2061174739","https://openalex.org/W2101067964","https://openalex.org/W2117009122","https://openalex.org/W2134750166","https://openalex.org/W2139079482","https://openalex.org/W2150498905","https://openalex.org/W2160390925","https://openalex.org/W2164368671","https://openalex.org/W2296071988","https://openalex.org/W2339155381","https://openalex.org/W2608866305","https://openalex.org/W2766698197","https://openalex.org/W2783129263","https://openalex.org/W2798333393","https://openalex.org/W2899037237","https://openalex.org/W2908041465","https://openalex.org/W2910347772","https://openalex.org/W2946247520","https://openalex.org/W2967707421","https://openalex.org/W2999759127","https://openalex.org/W4298310490","https://openalex.org/W6750479747","https://openalex.org/W6766633340"],"related_works":["https://openalex.org/W2141180789","https://openalex.org/W2172055400","https://openalex.org/W2124796615","https://openalex.org/W2263624057","https://openalex.org/W2116044594","https://openalex.org/W1503152075","https://openalex.org/W2124541664","https://openalex.org/W2052600062","https://openalex.org/W289296924","https://openalex.org/W2980231524"],"abstract_inverted_index":{"As":[0],"the":[1,9,13,24,40,58,86,91,95,99,115,120,123,127,148,167],"first":[2],"class":[3],"of":[4,12,30,57,94,98,104,108],"constructive":[5],"channel":[6,35,101],"codes":[7,19,32,66,150,180],"achieving":[8],"symmetric":[10],"capacity":[11],"binary-input":[14],"discrete":[15],"memoryless":[16],"channels,":[17,71,83,175],"polar":[18,31,59,65,87,109,116,149,179],"have":[20],"been":[21],"extended":[22],"to":[23,61,146],"fading":[25,34,42,70,82,153,174],"channel.":[26],"But":[27],"most":[28],"constructions":[29,157],"in":[33,55,67,151],"are":[36,158],"only":[37],"suitable":[38],"for":[39,166,172],"Rayleigh":[41,75],"and":[43,63,76,102,126,141,164],"involve":[44],"complex":[45],"iterative-calculation.":[46],"In":[47,79,170],"this":[48],"paper,":[49],"we":[50,89,131],"establish":[51],"a":[52,161],"systematic":[53],"framework":[54],"term":[56],"spectrum":[60,117],"analyze":[62],"construct":[64,178],"various":[68,173],"fast":[69,152],"such":[72],"as":[73],"Rician,":[74],"Nakagami":[77],"channels.":[78,154],"these":[80],"three":[81],"by":[84],"using":[85],"spectrum,":[88],"derive":[90],"upper":[92],"bound":[93],"error":[96,106],"probability":[97],"polarized":[100],"that":[103],"block":[105],"rate":[107],"codes.":[110],"The":[111],"analysis":[112],"based":[113,188],"on":[114,189],"explicitly":[118],"reveals":[119],"relationship":[121],"between":[122],"diversity":[124],"order":[125],"codeword":[128],"weight.":[129],"Furthermore,":[130],"propose":[132],"two":[133,156],"construction":[134],"metrics,":[135],"named":[136],"logarithmic":[137],"upper-bound":[138],"weight":[139],"(LUW)":[140],"minimum-weight":[142],"LUW":[143],"(MLUW)":[144],"respectively,":[145],"design":[147],"These":[155],"simple":[159],"with":[160,181],"linear":[162],"complexity":[163],"explicit":[165],"practical":[168],"implementation.":[169],"addition,":[171],"they":[176],"can":[177],"similar":[182],"or":[183],"better":[184],"performance":[185],"over":[186],"those":[187],"traditional":[190],"methods.":[191]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
