{"id":"https://openalex.org/W2057052061","doi":"https://doi.org/10.1109/lwc.2014.2367517","title":"On the Equivalence of Interleavers for Turbo Codes","display_name":"On the Equivalence of Interleavers for Turbo Codes","publication_year":2014,"publication_date":"2014-11-05","ids":{"openalex":"https://openalex.org/W2057052061","doi":"https://doi.org/10.1109/lwc.2014.2367517","mag":"2057052061"},"language":"en","primary_location":{"id":"doi:10.1109/lwc.2014.2367517","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2014.2367517","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"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 Wireless Communications Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01170165","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018794675","display_name":"Ronald Garzon Bohorquez","orcid":"https://orcid.org/0000-0002-0946-4552"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I205703379","display_name":"Institut Mines-T\u00e9l\u00e9com","ror":"https://ror.org/025vp2923","country_code":"FR","type":"facility","lineage":["https://openalex.org/I205703379"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210148559","https://openalex.org/I4210159245","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ronald Garzon Bohorquez","raw_affiliation_strings":["Electronics Department, Institut Mines-Telecom, Telecom Bretagne, CNRS UMR 6285 Lab-STICC, Brest Cedex 3, CS, France","ELEC - D\u00e9partement Electronique (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)","Lab-STICC_TB_CACS_IAS (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electronics Department, Institut Mines-Telecom, Telecom Bretagne, CNRS UMR 6285 Lab-STICC, Brest Cedex 3, CS, France","institution_ids":["https://openalex.org/I205703379","https://openalex.org/I1294671590","https://openalex.org/I161929037","https://openalex.org/I4210123702"]},{"raw_affiliation_string":"ELEC - D\u00e9partement Electronique (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)","institution_ids":[]},{"raw_affiliation_string":"Lab-STICC_TB_CACS_IAS (France)","institution_ids":["https://openalex.org/I161929037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043390452","display_name":"Charbel Abdel Nour","orcid":"https://orcid.org/0000-0001-9803-7810"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I205703379","display_name":"Institut Mines-T\u00e9l\u00e9com","ror":"https://ror.org/025vp2923","country_code":"FR","type":"facility","lineage":["https://openalex.org/I205703379"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210148559","https://openalex.org/I4210159245","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Charbel Abdel Nour","raw_affiliation_strings":["Electronics Department, Institut Mines-Telecom, Telecom Bretagne, CNRS UMR 6285 Lab-STICC, Brest Cedex 3, CS, France","Lab-STICC_TB_CACS_IAS (France)","ELEC - D\u00e9partement Electronique (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electronics Department, Institut Mines-Telecom, Telecom Bretagne, CNRS UMR 6285 Lab-STICC, Brest Cedex 3, CS, France","institution_ids":["https://openalex.org/I205703379","https://openalex.org/I1294671590","https://openalex.org/I161929037","https://openalex.org/I4210123702"]},{"raw_affiliation_string":"Lab-STICC_TB_CACS_IAS (France)","institution_ids":["https://openalex.org/I161929037"]},{"raw_affiliation_string":"ELEC - D\u00e9partement Electronique (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062848782","display_name":"Catherine Douillard","orcid":"https://orcid.org/0000-0002-0437-7345"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I205703379","display_name":"Institut Mines-T\u00e9l\u00e9com","ror":"https://ror.org/025vp2923","country_code":"FR","type":"facility","lineage":["https://openalex.org/I205703379"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210148559","https://openalex.org/I4210159245","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Catherine Douillard","raw_affiliation_strings":["Electronics Department, Institut Mines-Telecom, Telecom Bretagne, CNRS UMR 6285 Lab-STICC, Brest Cedex 3, CS, France","ELEC - D\u00e9partement Electronique (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)","Lab-STICC_TB_CACS_IAS (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electronics Department, Institut Mines-Telecom, Telecom Bretagne, CNRS UMR 6285 Lab-STICC, Brest Cedex 3, CS, France","institution_ids":["https://openalex.org/I205703379","https://openalex.org/I1294671590","https://openalex.org/I161929037","https://openalex.org/I4210123702"]},{"raw_affiliation_string":"ELEC - D\u00e9partement Electronique (Technop\u00f4le Brest-Iroise CS 83818 29238 BREST CEDEX 3 - France)","institution_ids":[]},{"raw_affiliation_string":"Lab-STICC_TB_CACS_IAS (France)","institution_ids":["https://openalex.org/I161929037"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2776,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.82953894,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"4","issue":"1","first_page":"58","last_page":"61"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9995999932289124,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9995999932289124,"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":0.9980000257492065,"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"}},{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9968000054359436,"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/turbo-code","display_name":"Turbo code","score":0.7279618382453918},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6239686608314514},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5446632504463196},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.543411135673523},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5241886973381042},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4584713578224182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3969830572605133},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3368178606033325},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3210607171058655},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.11124193668365479},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07052206993103027}],"concepts":[{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.7279618382453918},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6239686608314514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5446632504463196},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.543411135673523},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5241886973381042},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4584713578224182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3969830572605133},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3368178606033325},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3210607171058655},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.11124193668365479},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07052206993103027},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lwc.2014.2367517","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2014.2367517","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"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 Wireless Communications Letters","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01170165v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01170165","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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 Wireless Communications Letters, 2015, 4 (1), pp.58 - 61. ⟨10.1109/LWC.2014.2367517⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01170165v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01170165","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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 Wireless Communications Letters, 2015, 4 (1), pp.58 - 61. ⟨10.1109/LWC.2014.2367517⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1495550473","https://openalex.org/W1959181717","https://openalex.org/W2100098924","https://openalex.org/W2102251435","https://openalex.org/W2128416205","https://openalex.org/W2131769628","https://openalex.org/W2144062768","https://openalex.org/W2146854905","https://openalex.org/W3100996381"],"related_works":["https://openalex.org/W2365440996","https://openalex.org/W42295635","https://openalex.org/W2031266772","https://openalex.org/W1973996291","https://openalex.org/W2330575325","https://openalex.org/W4388747848","https://openalex.org/W1980604010","https://openalex.org/W1597082680","https://openalex.org/W2163803519","https://openalex.org/W2497592525"],"abstract_inverted_index":{"Three":[0],"of":[1,57,64,72,80],"the":[2,42,62,65,69,73,81,88,92,96],"most":[3],"common":[4],"interleavers":[5,37,49],"for":[6,114],"turbo":[7],"codes":[8],"(TCs)":[9],"are":[10,84,100,104],"dithered":[11],"relative":[12],"prime":[13],"(DRP)":[14],"interleavers,":[15,20,59],"quadratic":[16,70],"permutation":[17,24,112],"polynomial":[18],"(QPP)":[19],"and":[21,35,110],"almost":[22],"regular":[23],"(ARP)":[25],"interleavers.":[26],"In":[27],"this":[28],"paper,":[29],"it":[30],"is":[31],"shown":[32],"that":[33],"DRP":[34],"QPP":[36,48,74,89],"can":[38,50],"be":[39,51],"expressed":[40],"in":[41,60,87,95],"ARP":[43,58],"interleaver":[44,75,90],"function":[45],"form.":[46],"Furthermore,":[47],"seen":[52],"as":[53],"a":[54,108],"particular":[55],"case":[56],"which":[61],"values":[63],"periodic":[66],"shifts":[67],"follow":[68],"term":[71],"function.":[76],"Some":[77],"application":[78],"examples":[79],"equivalent":[82],"expressions":[83],"provided.":[85],"Particularly,":[86],"case,":[91],"different":[93],"instances":[94],"Long-Term":[97],"Evolution":[98],"standard":[99],"considered.":[101],"Obtained":[102],"results":[103],"useful":[105],"when":[106],"investigating":[107],"suitable":[109],"general":[111],"model":[113],"TCs.":[115]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}