{"id":"https://openalex.org/W4415820838","doi":"https://doi.org/10.1109/tsp.2025.3627779","title":"Asymptotic Analysis of Synchronous Signal Processing","display_name":"Asymptotic Analysis of Synchronous Signal Processing","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4415820838","doi":"https://doi.org/10.1109/tsp.2025.3627779"},"language":null,"primary_location":{"id":"doi:10.1109/tsp.2025.3627779","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2025.3627779","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5041406091","display_name":"Marc Vil\u00e0-Insa","orcid":"https://orcid.org/0000-0002-7032-1411"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Marc Vil\u00e0-Insa","raw_affiliation_strings":["Signal Processing and Communications Group (SPCOM), Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain","Signal Processing and Communications Group (SPCOM), Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Signal Processing and Communications Group (SPCOM), Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Signal Processing and Communications Group (SPCOM), Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102742723","display_name":"Jaume Riba","orcid":"https://orcid.org/0000-0002-5515-8169"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jaume Riba","raw_affiliation_strings":["Signal Processing and Communications Group (SPCOM), Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain","Signal Processing and Communications Group (SPCOM), Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Signal Processing and Communications Group (SPCOM), Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Signal Processing and Communications Group (SPCOM), Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041406091"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":1.4129,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.86302707,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"73","issue":null,"first_page":"5032","last_page":"5046"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.12160000205039978,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.12160000205039978,"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/T11236","display_name":"Control Systems and Identification","score":0.11940000206232071,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.1071000024676323,"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/cyclostationary-process","display_name":"Cyclostationary process","score":0.8104000091552734},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.6245999932289124},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.5769000053405762},{"id":"https://openalex.org/keywords/unitary-transformation","display_name":"Unitary transformation","score":0.4851999878883362},{"id":"https://openalex.org/keywords/multidimensional-signal-processing","display_name":"Multidimensional signal processing","score":0.447299987077713},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4465000033378601},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4458000063896179},{"id":"https://openalex.org/keywords/spectral-density-estimation","display_name":"Spectral density estimation","score":0.42500001192092896},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.40709999203681946},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3953000009059906}],"concepts":[{"id":"https://openalex.org/C178351263","wikidata":"https://www.wikidata.org/wiki/Q3922399","display_name":"Cyclostationary process","level":3,"score":0.8104000091552734},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.6245999932289124},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.5769000053405762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5580999851226807},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5167999863624573},{"id":"https://openalex.org/C179371143","wikidata":"https://www.wikidata.org/wiki/Q2495534","display_name":"Unitary transformation","level":3,"score":0.4851999878883362},{"id":"https://openalex.org/C501101116","wikidata":"https://www.wikidata.org/wiki/Q18378116","display_name":"Multidimensional signal processing","level":4,"score":0.447299987077713},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4465000033378601},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4458000063896179},{"id":"https://openalex.org/C30049272","wikidata":"https://www.wikidata.org/wiki/Q6555326","display_name":"Spectral density estimation","level":3,"score":0.42500001192092896},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4237000048160553},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4113999903202057},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.40709999203681946},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3953000009059906},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.3937999904155731},{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.37209999561309814},{"id":"https://openalex.org/C110405555","wikidata":"https://www.wikidata.org/wiki/Q1192209","display_name":"Stationary process","level":2,"score":0.35740000009536743},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.35199999809265137},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.34150001406669617},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.3370000123977661},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.3327000141143799},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.32820001244544983},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3151000142097473},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.30880001187324524},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.2953999936580658},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.29409998655319214},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.28999999165534973},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.28290000557899475},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2718000113964081},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.2709999978542328},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C50151734","wikidata":"https://www.wikidata.org/wiki/Q1759577","display_name":"Matched filter","level":3,"score":0.265500009059906},{"id":"https://openalex.org/C119047807","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C177860922","wikidata":"https://www.wikidata.org/wiki/Q788608","display_name":"Decorrelation","level":2,"score":0.25130000710487366},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.25049999356269836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2025.3627779","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2025.3627779","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1342745834","display_name":null,"funder_award_id":"MAYTE (PID2022-136512OBC21)","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G1418484428","display_name":null,"funder_award_id":"2022 FI SDUR 00164","funder_id":"https://openalex.org/F552691243","funder_display_name":"Departament de Recerca i Universitats, Generalitat de Catalunya"},{"id":"https://openalex.org/G201377971","display_name":null,"funder_award_id":"2021 SGR 01033","funder_id":"https://openalex.org/F552691243","funder_display_name":"Departament de Recerca i Universitats, Generalitat de Catalunya"},{"id":"https://openalex.org/G3363115113","display_name":null,"funder_award_id":"RODIN (PID2019-105717RB-C22)","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F552691243","display_name":"Departament de Recerca i Universitats, Generalitat de Catalunya","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W635895893","https://openalex.org/W642667799","https://openalex.org/W1492251543","https://openalex.org/W1535971798","https://openalex.org/W1536252645","https://openalex.org/W1831321934","https://openalex.org/W1979012374","https://openalex.org/W1982482853","https://openalex.org/W2000350137","https://openalex.org/W2006366850","https://openalex.org/W2029922131","https://openalex.org/W2060542593","https://openalex.org/W2068641562","https://openalex.org/W2103406330","https://openalex.org/W2111616148","https://openalex.org/W2135738604","https://openalex.org/W2140443981","https://openalex.org/W2153634854","https://openalex.org/W2154670154","https://openalex.org/W2167208435","https://openalex.org/W2196430631","https://openalex.org/W2295615767","https://openalex.org/W2334392248","https://openalex.org/W2340146686","https://openalex.org/W2504833027","https://openalex.org/W2783345504","https://openalex.org/W2795002836","https://openalex.org/W2962372110","https://openalex.org/W2963061570","https://openalex.org/W3035365333","https://openalex.org/W4210917684","https://openalex.org/W4211251910","https://openalex.org/W4213251304","https://openalex.org/W4234019265","https://openalex.org/W4236249660","https://openalex.org/W4240286851","https://openalex.org/W4242660797","https://openalex.org/W4242978467","https://openalex.org/W4243833160","https://openalex.org/W4313384708","https://openalex.org/W4411949408"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"extends":[2],"various":[3],"theoretical":[4],"results":[5,109],"from":[6],"stationary":[7],"data":[8],"processing":[9],"to":[10,110,116],"cyclostationary":[11],"(CS)":[12],"processes":[13],"under":[14],"a":[15,26,36,111],"unified":[16],"framework.":[17],"We":[18,76,102],"first":[19],"derive":[20],"their":[21,29],"asymptotic":[22,59],"eigenbasis,":[23],"which":[24],"provides":[25],"link":[27],"between":[28],"Fourier":[30],"and":[31,48,64,89],"Karhunen-Lo\u00e8ve":[32],"(KL)":[33],"expansions,":[34],"through":[35],"unitary":[37],"transformation":[38],"dictated":[39],"by":[40,52,106],"the":[41,49,53,58,70,86,95,108,118],"cyclic":[42,87],"spectrum.":[43],"By":[44],"exploiting":[45],"this":[46,104],"connection":[47],"optimalities":[50],"offered":[51],"KL":[54],"representation,":[55],"we":[56],"study":[57],"performance":[60],"of":[61,66,121],"smoothing,":[62],"filtering":[63],"prediction":[65],"CS":[67],"processes,":[68],"without":[69],"need":[71],"for":[72],"deriving":[73],"explicit":[74],"implementations.":[75],"obtain":[77],"minimum":[78],"mean":[79],"squared":[80],"error":[81],"expressions":[82],"that":[83],"depend":[84],"on":[85,94],"spectrum":[88],"include":[90],"classical":[91],"limits":[92],"based":[93],"power":[96],"spectral":[97],"density":[98],"as":[99],"particular":[100],"cases.":[101],"conclude":[103],"work":[105],"applying":[107],"practical":[112],"scenario,":[113],"in":[114],"order":[115],"quantify":[117],"achievable":[119],"gains":[120],"synchronous":[122],"signal":[123],"processing.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-11-03T00:00:00"}