{"id":"https://openalex.org/W2033832617","doi":"https://doi.org/10.1109/isit.2013.6620633","title":"Tight upper and lower bounds to the information rate of the phase noise channel","display_name":"Tight upper and lower bounds to the information rate of the phase noise channel","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2033832617","doi":"https://doi.org/10.1109/isit.2013.6620633","mag":"2033832617"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620633","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620633","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-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/A5054111453","display_name":"Luca Barletta","orcid":"https://orcid.org/0000-0003-4052-2092"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]},{"id":"https://openalex.org/I4210137766","display_name":"Institute for Advanced Study","ror":"https://ror.org/03xg85719","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210137766"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Luca Barletta","raw_affiliation_strings":["Institute for Advanced Study, Technische Universit\u00e4t M\u00fcnchen, Garching, Germany","Inst. for Adv. Study, Tech. Univ. Munchen, Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study, Technische Universit\u00e4t M\u00fcnchen, Garching, Germany","institution_ids":["https://openalex.org/I62916508","https://openalex.org/I4210137766"]},{"raw_affiliation_string":"Inst. for Adv. Study, Tech. Univ. Munchen, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026125746","display_name":"Maurizio Magarini","orcid":"https://orcid.org/0000-0001-9288-0452"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maurizio Magarini","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy","Dipt. di Elettron., Inf. e Bioingegneria, Politec. di Milano, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Dipt. di Elettron., Inf. e Bioingegneria, Politec. di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046311436","display_name":"A. Spalvieri","orcid":"https://orcid.org/0000-0002-8336-7996"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Arnaldo Spalvieri","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy","Dipt. di Elettron., Inf. e Bioingegneria, Politec. di Milano, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Dipt. di Elettron., Inf. e Bioingegneria, Politec. di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054111453"],"corresponding_institution_ids":["https://openalex.org/I4210137766","https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":3.7832,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.93696727,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"2284","last_page":"2288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9962000250816345,"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":0.9962000250816345,"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/T12004","display_name":"Advanced Frequency and Time Standards","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9939000010490417,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6454012393951416},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.596238911151886},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5846431255340576},{"id":"https://openalex.org/keywords/multiplicative-noise","display_name":"Multiplicative noise","score":0.5625227093696594},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49321264028549194},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4907182455062866},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4673213064670563},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4364003539085388},{"id":"https://openalex.org/keywords/phase-noise","display_name":"Phase noise","score":0.42199933528900146},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3979146480560303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3940809369087219},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.3449057340621948},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.30358460545539856},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.24272727966308594},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.1486731469631195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1299706995487213},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0960383415222168}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6454012393951416},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.596238911151886},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5846431255340576},{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.5625227093696594},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49321264028549194},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4907182455062866},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4673213064670563},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4364003539085388},{"id":"https://openalex.org/C89631360","wikidata":"https://www.wikidata.org/wiki/Q1428766","display_name":"Phase noise","level":2,"score":0.42199933528900146},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3979146480560303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3940809369087219},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.3449057340621948},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.30358460545539856},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.24272727966308594},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.1486731469631195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1299706995487213},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0960383415222168},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.0},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2013.6620633","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620633","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1985593155","https://openalex.org/W1991753958","https://openalex.org/W2003845500","https://openalex.org/W2019553785","https://openalex.org/W2020921214","https://openalex.org/W2052858657","https://openalex.org/W2063997038","https://openalex.org/W2097088614","https://openalex.org/W2097188073","https://openalex.org/W2112297252","https://openalex.org/W2117453261","https://openalex.org/W2118656667","https://openalex.org/W2120118017","https://openalex.org/W2128133840","https://openalex.org/W2129362928","https://openalex.org/W2133401839","https://openalex.org/W2139277703","https://openalex.org/W2160337655","https://openalex.org/W2165758178","https://openalex.org/W2172504374","https://openalex.org/W2180559185","https://openalex.org/W2326292128","https://openalex.org/W2536766246","https://openalex.org/W2790374560","https://openalex.org/W2794413559","https://openalex.org/W4244736586"],"related_works":["https://openalex.org/W1974392290","https://openalex.org/W2570164708","https://openalex.org/W2949211747","https://openalex.org/W2783077938","https://openalex.org/W1911817635","https://openalex.org/W2074565401","https://openalex.org/W2810224748","https://openalex.org/W2152613346","https://openalex.org/W3103566292","https://openalex.org/W1607924090"],"abstract_inverted_index":{"Numerical":[0],"upper":[1,79,94],"and":[2,58,78,86,95],"lower":[3,77,96,134],"bounds":[4,80,97],"to":[5,101],"the":[6,11,29,35,40,46,61,65,70,93,112,117,126,130,133,145,164,169,177,181],"information":[7,114],"rate":[8,115],"transferred":[9],"through":[10],"additive":[12],"white":[13],"Gaussian":[14],"noise":[15,25,57,121,172],"channel":[16],"affected":[17],"by":[18,45,142,154],"discrete-time":[19],"multiplicative":[20,118,170],"autoregressive":[21],"moving-average":[22],"(ARMA)":[23],"phase":[24,56,62,120,171],"are":[26,81,98],"proposed":[27,76],"in":[28,125,129,180],"paper.":[30,131,182],"The":[31,75],"state":[32,68],"space":[33],"of":[34,60,67,69,108,116,144,161],"ARMA":[36,119],"model":[37,54],"being":[38],"multidimensional,":[39],"problem":[41],"cannot":[42],"be":[43,73],"approached":[44],"conventional":[47],"trellis-based":[48],"methods":[49],"that":[50,92,104],"assume":[51],"a":[52,150],"first-order":[53],"for":[55,168,176],"quantization":[59],"space,":[63],"because":[64],"number":[66],"trellis":[71],"would":[72],"enormous.":[74],"based":[82,148],"on":[83,149],"particle":[84],"filtering":[85],"Kalman":[87,151],"filtering.":[88],"Simulation":[89],"results":[90],"show":[91],"so":[99],"close":[100],"each":[102],"other":[103],"we":[105,158],"can":[106,159],"claim":[107,160],"having":[109,162],"numerically":[110],"computed":[111],"actual":[113],"channel,":[122,173],"at":[123,174],"least":[124,175],"cases":[127,178],"studied":[128],"Moreover,":[132],"bound,":[135],"which":[136],"is":[137,140],"virtually":[138,165],"capacity-achieving,":[139],"obtained":[141],"demodulation":[143],"incoming":[146],"signal":[147],"filter":[152],"aided":[153],"past":[155],"data.":[156],"Thus":[157],"found":[163],"optimal":[166],"demodulator":[167],"considered":[179]},"counts_by_year":[{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}