{"id":"https://openalex.org/W2032863141","doi":"https://doi.org/10.1109/access.2014.2316413","title":"On the Equivalence Between Canonical Forms of Recursive Systematic Convolutional Transducers Based on Single Shift Registers","display_name":"On the Equivalence Between Canonical Forms of Recursive Systematic Convolutional Transducers Based on Single Shift Registers","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2032863141","doi":"https://doi.org/10.1109/access.2014.2316413","mag":"2032863141"},"language":"en","primary_location":{"id":"doi:10.1109/access.2014.2316413","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2014.2316413","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6705689/06802341.pdf","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://ieeexplore.ieee.org/ielx7/6287639/6705689/06802341.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113469659","display_name":"Horia Balt\u0103","orcid":null},"institutions":[{"id":"https://openalex.org/I3122695212","display_name":"Polytechnic University of Timi\u015foara","ror":"https://ror.org/02v91gy68","country_code":"RO","type":"education","lineage":["https://openalex.org/I3122695212"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Horia Balta","raw_affiliation_strings":["University Politehnica Timi\u015foara, Timi\u015foara, Romania","Politehnica University of Timisoara"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Politehnica Timi\u015foara, Timi\u015foara, Romania","institution_ids":["https://openalex.org/I3122695212"]},{"raw_affiliation_string":"Politehnica University of Timisoara","institution_ids":["https://openalex.org/I3122695212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062848782","display_name":"Catherine Douillard","orcid":"https://orcid.org/0000-0002-0437-7345"},"institutions":[{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Catherine Douillard","raw_affiliation_strings":["Institut Mines-Telecom/Telecom Bretagne, Paris Cedex, France","Lab-STICC_TB_CACS_IAS","D\u00e9partement Electronique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Mines-Telecom/Telecom Bretagne, Paris Cedex, France","institution_ids":["https://openalex.org/I205703379"]},{"raw_affiliation_string":"Lab-STICC_TB_CACS_IAS","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement Electronique","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045316602","display_name":"Alexandru Isar","orcid":"https://orcid.org/0000-0003-0510-7344"},"institutions":[{"id":"https://openalex.org/I3122695212","display_name":"Polytechnic University of Timi\u015foara","ror":"https://ror.org/02v91gy68","country_code":"RO","type":"education","lineage":["https://openalex.org/I3122695212"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Alexandru Isar","raw_affiliation_strings":["University Politehnica Timi\u015foara, Timi\u015foara, Romania","Politehnica University of Timisoara"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Politehnica Timi\u015foara, Timi\u015foara, Romania","institution_ids":["https://openalex.org/I3122695212"]},{"raw_affiliation_string":"Politehnica University of Timisoara","institution_ids":["https://openalex.org/I3122695212"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6388,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73545819,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2","issue":null,"first_page":"381","last_page":"394"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9995999932289124,"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/T11130","display_name":"Coding theory and cryptography","score":0.9983999729156494,"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/realizability","display_name":"Realizability","score":0.7021077275276184},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.6405534744262695},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.6252714395523071},{"id":"https://openalex.org/keywords/convolutional-code","display_name":"Convolutional code","score":0.5751494765281677},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5413297414779663},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.49670320749282837},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4831187427043915},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46790987253189087},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.452542781829834},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4361116588115692},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42160531878471375},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.41598713397979736},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3717329204082489},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3696061372756958},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18533658981323242},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.12120375037193298},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.09544253349304199}],"concepts":[{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.7021077275276184},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.6405534744262695},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.6252714395523071},{"id":"https://openalex.org/C157899210","wikidata":"https://www.wikidata.org/wiki/Q1395022","display_name":"Convolutional code","level":3,"score":0.5751494765281677},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5413297414779663},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.49670320749282837},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4831187427043915},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46790987253189087},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.452542781829834},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4361116588115692},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42160531878471375},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.41598713397979736},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3717329204082489},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3696061372756958},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18533658981323242},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.12120375037193298},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.09544253349304199},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2014.2316413","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2014.2316413","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6705689/06802341.pdf","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:HAL:hal-01015133v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01015133","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, 2014, 2, pp.381 - 394. ⟨10.1109/ACCESS.2014.2316413⟩","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:534ea5871864428a857792ffc3bc1c68","is_oa":true,"landing_page_url":"https://doaj.org/article/534ea5871864428a857792ffc3bc1c68","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 2, Pp 381-394 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2014.2316413","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2014.2316413","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6705689/06802341.pdf","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/F4320334927","display_name":"Consiliul National al Cercetarii Stiintifice","ror":"https://ror.org/035rrps97"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2032863141.pdf","grobid_xml":"https://content.openalex.org/works/W2032863141.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W123452644","https://openalex.org/W1562979145","https://openalex.org/W1572884776","https://openalex.org/W1989008275","https://openalex.org/W1991133427","https://openalex.org/W2012483308","https://openalex.org/W2020418355","https://openalex.org/W2045407304","https://openalex.org/W2061773041","https://openalex.org/W2079363366","https://openalex.org/W2086742230","https://openalex.org/W2087362480","https://openalex.org/W2087932696","https://openalex.org/W2099462267","https://openalex.org/W2101394529","https://openalex.org/W2102251435","https://openalex.org/W2103402707","https://openalex.org/W2103894601","https://openalex.org/W2106694005","https://openalex.org/W2117994551","https://openalex.org/W2121606987","https://openalex.org/W2126259959","https://openalex.org/W2126519187","https://openalex.org/W2133321180","https://openalex.org/W2135764410","https://openalex.org/W2140393911","https://openalex.org/W2141619954","https://openalex.org/W2141628061","https://openalex.org/W2142384583","https://openalex.org/W2144893103","https://openalex.org/W2147978622","https://openalex.org/W2153488851","https://openalex.org/W2153810958","https://openalex.org/W2156214226","https://openalex.org/W2156279267","https://openalex.org/W2156938362","https://openalex.org/W2159676920","https://openalex.org/W2159911483","https://openalex.org/W2161937935","https://openalex.org/W2170313076","https://openalex.org/W2206295654","https://openalex.org/W2541772789","https://openalex.org/W2987657883","https://openalex.org/W4210777538","https://openalex.org/W4242536966","https://openalex.org/W4245256025","https://openalex.org/W4256648168"],"related_works":["https://openalex.org/W1603488308","https://openalex.org/W4298120007","https://openalex.org/W2036697162","https://openalex.org/W2136737082","https://openalex.org/W2564246649","https://openalex.org/W2132373020","https://openalex.org/W2096049278","https://openalex.org/W2152853661","https://openalex.org/W4289932949","https://openalex.org/W2042029506"],"abstract_inverted_index":{"Standardized":[0],"turbo":[1],"codes":[2],"(TCs)":[3],"use":[4],"recursive":[5],"systematic":[6],"convolutional":[7,79],"transducers":[8,80],"of":[9,27,43,59,61,114,127,142,172,179,193,196,235,266,280],"rate":[10],"b/(b":[11],"+":[12],"d),":[13],"having":[14],"a":[15,93,98,102,125,217],"single":[16,33],"feedback":[17],"polynomial":[18],"(b+dRSCT).":[19],"In":[20,200],"this":[21],"paper,":[22],"we":[23,100,146,253],"investigate":[24],"the":[25,28,41,54,57,62,73,112,137,143,159,166,170,177,180,186,191,197,202,233,236,255,264,273,278,289,307],"realizability":[26,234],"b+dRSCT":[29],"set":[30,113,181],"through":[31],"two":[32,50],"shift":[34],"register":[35],"canonical":[36,64],"forms":[37,65],"(SSRCFs),":[38],"called,":[39],"in":[40,81,92,116,129,154,216,263,306],"theory":[42],"linear":[44],"systems,":[45],"constructibility,":[46,118],"and":[47,68,122,139,152,189,206],"controllability.":[48,257],"The":[49,230],"investigated":[51],"SSRCF":[52,95,117,130,160,167,256],"are":[53],"adaptations,":[55],"for":[56,78,169,224,251],"implementation":[58,74,171,275],"b+dRSCT,":[60,243],"better-known":[63],"controller":[66],"(constructibility)":[67],"observer":[69,161],"(controllability).":[70],"Constructibility":[71],"is":[72,150,162,183,222,293],"form":[75,276],"actually":[76],"used":[77,215],"TCs.":[82],"This":[83,220],"paper":[84],"shows":[85],"that":[86,148,176],"any":[87],"b+1RSCT":[88,237],"can":[89],"be":[90,261,285],"implemented":[91],"unique":[94],"observer.":[96],"As":[97],"result,":[99],"build":[101],"function,":[103],"\u03be:H":[104],"\u2192":[105],"G,":[106,157],"which":[107,252,283],"has":[108],"as":[109,123,249,312],"definition":[110],"domain":[111],"encoders":[115,128,209],"denoted":[119,132],"by":[120,133],"H,":[121],"codomain":[124],"subset":[126],"observer,":[131],"G.":[134],"By":[135],"proving":[136],"noninjectivity":[138],"nonsurjectivity":[140],"properties":[141],"function":[144],"\u03be,":[145],"prove":[147],"H":[149,182],"redundant":[151],"incomplete":[153],"comparison":[155],"with":[156,210,244],"i.e.,":[158],"more":[163],"efficient":[164],"than":[165,305],"constructibility":[168],"b+1RSCT.":[173,199],"We":[174],"show":[175],"redundancy":[178],"dependent":[184],"on":[185,190,232,242,269,288],"memory":[187],"m":[188,225],"number":[192],"inputs":[194],"b":[195,227],"considered":[198],"addition,":[201],"difference":[203,221],"between":[204],"G":[205],"\u03be(H)":[207],"contains":[208],"very":[211],"good":[212],"performance,":[213],"when":[214],"TC":[218,267],"structure.":[219],"consistent":[223],"\u2248":[226],">":[228,247],"1.":[229],"results":[231,259],"allowed":[238],"us":[239],"some":[240],"considerations":[241],"b,":[245],"d":[246],"1,":[248],"well,":[250],"proposed":[254,274],"These":[258],"could":[260],"useful":[262],"design":[265,279],"based":[268,287],"exhaustive":[270],"search.":[271],"So,":[272],"permits":[277],"new":[281,299],"TCs,":[282],"cannot":[284],"conceived":[286],"actual":[290],"form.":[291],"It":[292],"possible,":[294],"even":[295],"probable,":[296],"among":[297],"these":[298],"TCs":[300],"to":[301],"find":[302],"better":[303],"performance":[304],"current":[308],"communication":[309],"standards,":[310],"such":[311],"LTE,":[313],"DVB,":[314],"or":[315],"deep-space":[316],"communications.":[317]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}