{"id":"https://openalex.org/W2091772845","doi":"https://doi.org/10.1109/tit.1981.1056400","title":"A dynamic programming algorithm for simultaneous phase estimation and data decoding on random-phase channels","display_name":"A dynamic programming algorithm for simultaneous phase estimation and data decoding on random-phase channels","publication_year":1981,"publication_date":"1981-09-01","ids":{"openalex":"https://openalex.org/W2091772845","doi":"https://doi.org/10.1109/tit.1981.1056400","mag":"2091772845"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1981.1056400","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1981.1056400","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5037413131","display_name":"Odile Macchi","orcid":null},"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/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"O. Macchi","raw_affiliation_strings":["Laboratoiredes Signauxet Systemes, Plateaudu Moulon, CNRS, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoiredes Signauxet Systemes, Plateaudu Moulon, CNRS, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080469112","display_name":"Louis L. Scharf","orcid":"https://orcid.org/0000-0003-1764-9335"},"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/I17626003","display_name":"University of Rhode Island","ror":"https://ror.org/013ckk937","country_code":"US","type":"education","lineage":["https://openalex.org/I17626003"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"L. Scharf","raw_affiliation_strings":["Electrical Engineering Department, Colorado State University, Fort Collins, CO, USA","Electrical Engineering Department, University of Rhode Island, Kingston, USA","Laboratoiredes Signauxet Systemes, CNRS, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Electrical Engineering Department, University of Rhode Island, Kingston, USA","institution_ids":["https://openalex.org/I17626003"]},{"raw_affiliation_string":"Laboratoiredes Signauxet Systemes, CNRS, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210097418"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":16.3209,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.9833904,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"27","issue":"5","first_page":"581","last_page":"595"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11946","display_name":"Antenna Design and Optimization","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11946","display_name":"Antenna Design and Optimization","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10860","display_name":"Speech and Audio Processing","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/decoding-methods","display_name":"Decoding methods","score":0.7782756090164185},{"id":"https://openalex.org/keywords/viterbi-algorithm","display_name":"Viterbi algorithm","score":0.745257556438446},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7176218032836914},{"id":"https://openalex.org/keywords/viterbi-decoder","display_name":"Viterbi decoder","score":0.5940539240837097},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.586612343788147},{"id":"https://openalex.org/keywords/trellis","display_name":"Trellis (graph)","score":0.5479053854942322},{"id":"https://openalex.org/keywords/continuous-phase-modulation","display_name":"Continuous phase modulation","score":0.5328522324562073},{"id":"https://openalex.org/keywords/maximum-a-posteriori-estimation","display_name":"Maximum a posteriori estimation","score":0.527052640914917},{"id":"https://openalex.org/keywords/phase-shift-keying","display_name":"Phase-shift keying","score":0.4826265275478363},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4569064676761627},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.42588433623313904},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.4220188558101654},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4040963053703308},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.18830415606498718},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14245355129241943},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10936683416366577},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.10717800259590149},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.1022217869758606},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.09017762541770935}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7782756090164185},{"id":"https://openalex.org/C60582962","wikidata":"https://www.wikidata.org/wiki/Q83886","display_name":"Viterbi algorithm","level":3,"score":0.745257556438446},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7176218032836914},{"id":"https://openalex.org/C117379686","wikidata":"https://www.wikidata.org/wiki/Q6996459","display_name":"Viterbi decoder","level":3,"score":0.5940539240837097},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.586612343788147},{"id":"https://openalex.org/C2781235587","wikidata":"https://www.wikidata.org/wiki/Q7838009","display_name":"Trellis (graph)","level":3,"score":0.5479053854942322},{"id":"https://openalex.org/C343090","wikidata":"https://www.wikidata.org/wiki/Q5165504","display_name":"Continuous phase modulation","level":2,"score":0.5328522324562073},{"id":"https://openalex.org/C9810830","wikidata":"https://www.wikidata.org/wiki/Q635384","display_name":"Maximum a posteriori estimation","level":3,"score":0.527052640914917},{"id":"https://openalex.org/C186378180","wikidata":"https://www.wikidata.org/wiki/Q4874866","display_name":"Phase-shift keying","level":4,"score":0.4826265275478363},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4569064676761627},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.42588433623313904},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.4220188558101654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4040963053703308},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.18830415606498718},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14245355129241943},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10936683416366577},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.10717800259590149},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.1022217869758606},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.09017762541770935},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1981.1056400","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1981.1056400","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W853885607","https://openalex.org/W1990079018","https://openalex.org/W2005225036","https://openalex.org/W2012920923","https://openalex.org/W2030185993","https://openalex.org/W2095817904","https://openalex.org/W2126259042","https://openalex.org/W2131086249","https://openalex.org/W2138603643","https://openalex.org/W2141587638","https://openalex.org/W2141693490","https://openalex.org/W2154899385","https://openalex.org/W2157074141","https://openalex.org/W4389012591","https://openalex.org/W6623694102"],"related_works":["https://openalex.org/W2101868111","https://openalex.org/W2050807314","https://openalex.org/W2146383045","https://openalex.org/W2110220947","https://openalex.org/W2110622634","https://openalex.org/W1599365967","https://openalex.org/W4205451769","https://openalex.org/W2471228366","https://openalex.org/W1963502012","https://openalex.org/W4244651726"],"abstract_inverted_index":{"The":[0,15],"problem":[1],"of":[2,73],"simultaneously":[3,76],"estimating":[4,77],"phase":[5,16,78,103,146,154],"and":[6,28,70,79,107,119,125,150],"decoding":[7,53,80,89,92,160],"data":[8,12],"symbols":[9,30,37,83],"from":[10],"baseband":[11],"is":[13,18,50,163,171],"posed.":[14],"sequence":[17,24,61,159],"assumed":[19,32],"to":[20,33,85,165,173],"be":[21,34],"a":[22,40,54,57,63,133],"random":[23,117],"on":[25,62,161],"the":[26,29,138],"circle,":[27],"are":[31,123,148],"equally":[35],"likely":[36],"transmitted":[38,115],"over":[39,116],"perfectly":[41],"equalized":[42],"channel.":[43],"A":[44,68],"dynamic":[45],"programming":[46],"algorithm":[47,135,141],"(Viterbi":[48],"algorithm)":[49],"derived":[51],"for":[52,75,91,97],"maximum":[55],"{\\em":[56],"posteriori}":[58],"(MAP)":[59],"phase-symbol":[60,66,93,158],"finite":[64],"dimensional":[65],"trellis.":[67],"new":[69],"interesting":[71],"principle":[72],"Optimality":[74],"phase-amplitude":[81],"coded":[82],"leads":[84],"an":[86],"efficient":[87],"two-step":[88],"procedure":[90],"sequences.":[94],"Simulation":[95],"results":[96,128],"binary,":[98],"<tex":[99],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[100],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">8</tex>":[101],"-ary":[102],"shift":[104,110],"keyed":[105,111],"(PSK),":[106],"16-quadrature":[108],"amplitude":[109],"(QASK)":[112],"symbol":[113],"sets":[114],"walk":[118],"sinusoidal":[120],"jitter":[121],"channels":[122],"presented":[124],"compared":[126],"with":[127,132,137],"one":[129],"may":[130],"obtain":[131],"decision-directed":[134,174],"or":[136],"binary":[139],"Viterbi":[140],"introduced":[142],"by":[143],"Ungerboeck.":[144],"When":[145],"fluctuations":[147,155],"severe":[149],"when":[151],"occasional":[152],"large":[153],"exist,":[156],"MAP":[157],"circles":[162],"superior":[164,172],"Ungerboeck's":[166],"technique,":[167],"which":[168],"in":[169],"turn":[170],"techniques.":[175]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}