{"id":"https://openalex.org/W2766698197","doi":"https://doi.org/10.1109/access.2017.2763614","title":"Polar Code Design for Irregular Multidimensional Constellations","display_name":"Polar Code Design for Irregular Multidimensional Constellations","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2766698197","doi":"https://doi.org/10.1109/access.2017.2763614","mag":"2766698197"},"language":"en","primary_location":{"id":"doi:10.1109/access.2017.2763614","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2763614","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2017.2763614","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017635607","display_name":"Philip R. Balogun","orcid":null},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Philip R. Balogun","raw_affiliation_strings":["Department of Systems and Computer Engineering, Carleton University, Ottawa, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems and Computer Engineering, Carleton University, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021593134","display_name":"Ian Marsland","orcid":"https://orcid.org/0000-0002-8991-9093"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ian D. Marsland","raw_affiliation_strings":["Department of Systems and Computer Engineering, Carleton University, Ottawa, ON, Canada","ORCiD"],"raw_orcid":"https://orcid.org/0000-0002-8991-9093","affiliations":[{"raw_affiliation_string":"Department of Systems and Computer Engineering, Carleton University, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055844984","display_name":"Ramy H. Gohary","orcid":"https://orcid.org/0000-0002-0031-0880"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ramy H. Gohary","raw_affiliation_strings":["Department of Systems and Computer Engineering, Carleton University, Ottawa, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems and Computer Engineering, Carleton University, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035446029","display_name":"Halim Yan\u0131k\u00f6mero\u011flu","orcid":"https://orcid.org/0000-0003-4776-9354"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Halim Yanikomeroglu","raw_affiliation_strings":["Department of Systems and Computer Engineering, Carleton University, Ottawa, ON, Canada","ORCiD"],"raw_orcid":"https://orcid.org/0000-0003-4776-9354","affiliations":[{"raw_affiliation_string":"Department of Systems and Computer Engineering, Carleton University, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I67031392"],"apc_list":{"value":2075,"currency":"USD","value_usd":2075},"apc_paid":{"value":2075,"currency":"USD","value_usd":2075},"fwci":1.3975,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85598104,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"5","issue":null,"first_page":"21941","last_page":"21953"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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/T11130","display_name":"Coding theory and cryptography","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/computer-science","display_name":"Computer science","score":0.780042290687561},{"id":"https://openalex.org/keywords/polar-code","display_name":"Polar code","score":0.733681857585907},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6770602464675903},{"id":"https://openalex.org/keywords/constellation","display_name":"Constellation","score":0.6638232469558716},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5527037978172302},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.5448153614997864},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5385741591453552},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.5310445427894592},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5208447575569153},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.517781138420105},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45251113176345825},{"id":"https://openalex.org/keywords/forward-error-correction","display_name":"Forward error correction","score":0.43644165992736816},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.41541314125061035},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.22028759121894836},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17289945483207703},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12078800797462463}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.780042290687561},{"id":"https://openalex.org/C2778396592","wikidata":"https://www.wikidata.org/wiki/Q7209069","display_name":"Polar code","level":3,"score":0.733681857585907},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6770602464675903},{"id":"https://openalex.org/C70352696","wikidata":"https://www.wikidata.org/wiki/Q8928","display_name":"Constellation","level":2,"score":0.6638232469558716},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5527037978172302},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.5448153614997864},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5385741591453552},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.5310445427894592},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5208447575569153},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.517781138420105},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45251113176345825},{"id":"https://openalex.org/C202932441","wikidata":"https://www.wikidata.org/wiki/Q55611017","display_name":"Forward error correction","level":3,"score":0.43644165992736816},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.41541314125061035},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.22028759121894836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17289945483207703},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12078800797462463},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2017.2763614","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2763614","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:carleton.ca:16100","is_oa":true,"landing_page_url":"https://ir.library.carleton.ca/pub/16100","pdf_url":null,"source":{"id":"https://openalex.org/S4306402514","display_name":"Carleton University's Institutional Repository (MacOdrum Library, Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:e0791f76a48841949e8ee80bf7a73944","is_oa":true,"landing_page_url":"https://doaj.org/article/e0791f76a48841949e8ee80bf7a73944","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 5, Pp 21941-21953 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2017.2763614","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2763614","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320319948","display_name":"Ontario Ministry of Economic Development and Innovation","ror":"https://ror.org/01pvzn627"},{"id":"https://openalex.org/F4320322183","display_name":"Huawei Technologies","ror":"https://ror.org/00cmhce21"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1522838630","https://openalex.org/W1893302682","https://openalex.org/W1906563957","https://openalex.org/W1980073965","https://openalex.org/W1988693324","https://openalex.org/W1992360673","https://openalex.org/W1995639068","https://openalex.org/W2022271272","https://openalex.org/W2061174739","https://openalex.org/W2098234850","https://openalex.org/W2098470405","https://openalex.org/W2102843694","https://openalex.org/W2119461808","https://openalex.org/W2122498678","https://openalex.org/W2129795779","https://openalex.org/W2133214726","https://openalex.org/W2146469970","https://openalex.org/W2162461354","https://openalex.org/W2165406488","https://openalex.org/W2189408868","https://openalex.org/W2342204193","https://openalex.org/W2507003164","https://openalex.org/W2963749252","https://openalex.org/W3098099709","https://openalex.org/W6631583761","https://openalex.org/W6687163998"],"related_works":["https://openalex.org/W2963228343","https://openalex.org/W3009157344","https://openalex.org/W1599814246","https://openalex.org/W3106389544","https://openalex.org/W3080200660","https://openalex.org/W2008803526","https://openalex.org/W3196757433","https://openalex.org/W1514186088","https://openalex.org/W2786545028","https://openalex.org/W2885004924"],"abstract_inverted_index":{"Polar":[0,36],"codes,":[1],"ever":[2],"since":[3],"their":[4,21,54],"introduction,":[5],"have":[6,38],"been":[7,39],"shown":[8],"to":[9,85,93,120],"be":[10],"very":[11],"effective":[12],"for":[13,33,42,65,81],"various":[14],"wireless":[15,34],"communication":[16],"channels.":[17,58],"This,":[18],"together":[19],"with":[20,44,73,109],"relatively":[22,134],"low":[23,135],"implementation":[24],"complexity,":[25],"has":[26],"made":[27],"them":[28],"an":[29],"attractive":[30],"coding":[31],"scheme":[32],"communications.":[35],"codes":[37,69],"extensively":[40],"studied":[41],"use":[43],"binary-input":[45],"symmetric":[46],"memoryless":[47],"channels":[48],"but":[49],"little":[50],"is":[51,77,97],"known":[52,130],"about":[53],"effectiveness":[55],"in":[56,124],"other":[57],"In":[59,79],"this":[60,82],"paper,":[61],"a":[62,87],"novel":[63,88],"methodology":[64],"designing":[66],"multilevel":[67,83],"polar":[68],"that":[70,110,116],"works":[71],"effectively":[72],"arbitrary":[74],"multidimensional":[75],"constellations":[76],"presented.":[78],"order":[80],"design":[84,108],"function,":[86],"set":[89],"merging":[90],"algorithm,":[91],"able":[92,119],"label":[94],"such":[95],"constellations,":[96],"proposed.":[98],"We":[99],"then":[100],"compare":[101],"the":[102,128],"error":[103],"rate":[104],"performance":[105],"of":[106,111],"our":[107],"existing":[112],"schemes":[113],"and":[114],"show":[115],"we":[117],"were":[118],"obtain":[121],"unprecedented":[122],"results":[123],"many":[125],"cases":[126],"over":[127],"previously":[129],"best":[131],"techniques":[132],"at":[133],"decoding":[136],"complexity.":[137]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
