{"id":"https://openalex.org/W3200195019","doi":"https://doi.org/10.1109/tsp.2021.3111558","title":"Misspecified Cramer\u2013Rao Bounds for Blind Channel Estimation Under Channel Order Misspecification","display_name":"Misspecified Cramer\u2013Rao Bounds for Blind Channel Estimation Under Channel Order Misspecification","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3200195019","doi":"https://doi.org/10.1109/tsp.2021.3111558","mag":"3200195019"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2021.3111558","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3111558","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/A5062663394","display_name":"Le Trung Thanh","orcid":"https://orcid.org/0000-0002-0036-5160"},"institutions":[{"id":"https://openalex.org/I12449238","display_name":"Universit\u00e9 d'Orl\u00e9ans","ror":"https://ror.org/014zrew76","country_code":"FR","type":"education","lineage":["https://openalex.org/I12449238"]},{"id":"https://openalex.org/I4210096782","display_name":"Laboratoire Pluridisciplinaire de Recherche en Ing\u00e9nierie des Syst\u00e8mes, M\u00e9canique et Energ\u00e9tique","ror":"https://ror.org/00sbth994","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I4210096782","https://openalex.org/I4210143826"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Le Trung Thanh","raw_affiliation_strings":["PRISME, 439622 Orleans, France, 45067 (e-mail: letrungthanhtbt@gmail.com)","[PRISME Laboratory, University of Orl\u00e9ans, Orl\u00e9ans, France]"],"raw_orcid":"https://orcid.org/0000-0002-0036-5160","affiliations":[{"raw_affiliation_string":"PRISME, 439622 Orleans, France, 45067 (e-mail: letrungthanhtbt@gmail.com)","institution_ids":["https://openalex.org/I4210096782"]},{"raw_affiliation_string":"[PRISME Laboratory, University of Orl\u00e9ans, Orl\u00e9ans, France]","institution_ids":["https://openalex.org/I12449238","https://openalex.org/I4210096782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048280041","display_name":"Karim Abed\u2010Meraim","orcid":"https://orcid.org/0000-0003-2652-1923"},"institutions":[{"id":"https://openalex.org/I12449238","display_name":"Universit\u00e9 d'Orl\u00e9ans","ror":"https://ror.org/014zrew76","country_code":"FR","type":"education","lineage":["https://openalex.org/I12449238"]},{"id":"https://openalex.org/I4210096782","display_name":"Laboratoire Pluridisciplinaire de Recherche en Ing\u00e9nierie des Syst\u00e8mes, M\u00e9canique et Energ\u00e9tique","ror":"https://ror.org/00sbth994","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I4210096782","https://openalex.org/I4210143826"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Karim Abed-Meraim","raw_affiliation_strings":["Elec Eng, Polytech Orlans, Orleans, France, 45100 (e-mail: karim.abed-meraim@univ-orleans.fr)","PRISME - Laboratoire pluridisciplinaire de recherche en ing\u00e9nierie des syst\u00e8mes, m\u00e9canique et \u00e9nerg\u00e9tique (8, rue L\u00e9onard de Vinci - 45067 ORLEANS CEDEX 2 - France - France)","[PRISME Laboratory, University of Orl\u00e9ans, Orl\u00e9ans, France]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Elec Eng, Polytech Orlans, Orleans, France, 45100 (e-mail: karim.abed-meraim@univ-orleans.fr)","institution_ids":["https://openalex.org/I12449238"]},{"raw_affiliation_string":"PRISME - Laboratoire pluridisciplinaire de recherche en ing\u00e9nierie des syst\u00e8mes, m\u00e9canique et \u00e9nerg\u00e9tique (8, rue L\u00e9onard de Vinci - 45067 ORLEANS CEDEX 2 - France - France)","institution_ids":["https://openalex.org/I4210096782"]},{"raw_affiliation_string":"[PRISME Laboratory, University of Orl\u00e9ans, Orl\u00e9ans, France]","institution_ids":["https://openalex.org/I12449238","https://openalex.org/I4210096782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069979656","display_name":"Nguyen Linh Trung","orcid":"https://orcid.org/0000-0002-3103-994X"},"institutions":[{"id":"https://openalex.org/I177233841","display_name":"Vietnam National University, Hanoi","ror":"https://ror.org/02jmfj006","country_code":"VN","type":"education","lineage":["https://openalex.org/I177233841"]},{"id":"https://openalex.org/I257903683","display_name":"Hanoi University of Civil Engineering","ror":"https://ror.org/01351mb48","country_code":"VN","type":"education","lineage":["https://openalex.org/I257903683"]},{"id":"https://openalex.org/I67868205","display_name":"VNU University of Science","ror":"https://ror.org/05w54hk79","country_code":"VN","type":"education","lineage":["https://openalex.org/I177233841","https://openalex.org/I67868205"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguyen Linh Trung","raw_affiliation_strings":["Advanced Institute of Engineering and Technology, University of Engineering and Technology, Vietnam National University Hanoi, Hanoi, Viet Nam, 100000 (e-mail: linhtrung@vnu.edu.vn)","[Advanced Institute of Engineering and Technology, University of Engineering and Technology, Vietnam National University, Hanoi, Vietnam]"],"raw_orcid":"https://orcid.org/0000-0002-3103-994X","affiliations":[{"raw_affiliation_string":"Advanced Institute of Engineering and Technology, University of Engineering and Technology, Vietnam National University Hanoi, Hanoi, Viet Nam, 100000 (e-mail: linhtrung@vnu.edu.vn)","institution_ids":["https://openalex.org/I177233841","https://openalex.org/I67868205"]},{"raw_affiliation_string":"[Advanced Institute of Engineering and Technology, University of Engineering and Technology, Vietnam National University, Hanoi, Vietnam]","institution_ids":["https://openalex.org/I177233841","https://openalex.org/I257903683"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3695,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.88978086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"69","issue":null,"first_page":"5372","last_page":"5385"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T12131","display_name":"Wireless Signal Modulation Classification","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"}},{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9930999875068665,"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/hessian-matrix","display_name":"Hessian matrix","score":0.7767901420593262},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6206090450286865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6041704416275024},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6021856069564819},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5038246512413025},{"id":"https://openalex.org/keywords/cram\u00e9r\u2013rao-bound","display_name":"Cram\u00e9r\u2013Rao bound","score":0.45418301224708557},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4541082978248596},{"id":"https://openalex.org/keywords/inverse-gaussian-distribution","display_name":"Inverse Gaussian distribution","score":0.44864165782928467},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4248770773410797},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.3579334616661072},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3565586805343628},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3068886399269104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30538269877433777},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09191083908081055}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.7767901420593262},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6206090450286865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6041704416275024},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6021856069564819},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5038246512413025},{"id":"https://openalex.org/C4978587","wikidata":"https://www.wikidata.org/wiki/Q1138810","display_name":"Cram\u00e9r\u2013Rao bound","level":3,"score":0.45418301224708557},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4541082978248596},{"id":"https://openalex.org/C132878287","wikidata":"https://www.wikidata.org/wiki/Q1671727","display_name":"Inverse Gaussian distribution","level":3,"score":0.44864165782928467},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4248770773410797},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.3579334616661072},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3565586805343628},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3068886399269104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30538269877433777},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09191083908081055},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2021.3111558","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3111558","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/G8072895196","display_name":"K\u1ef9 thu\u1eadt nh\u1eadn d\u1ea1ng h\u1ec7 th\u1ed1ng: t\u1eeb x\u1eed l\u00fd m\u00f9 truy\u1ec1n th\u1ed1ng sang x\u1eed l\u00fd c\u00f3 tri th\u1ee9c m\u1edbi.","funder_award_id":"01/2019/TN","funder_id":"https://openalex.org/F4320309617","funder_display_name":"National Foundation for Science and Technology Development"}],"funders":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":84,"referenced_works":["https://openalex.org/W46293795","https://openalex.org/W1480246942","https://openalex.org/W1512615660","https://openalex.org/W1527389560","https://openalex.org/W1530226021","https://openalex.org/W1555092484","https://openalex.org/W1607202247","https://openalex.org/W1965469062","https://openalex.org/W1969498497","https://openalex.org/W1979671221","https://openalex.org/W2003195392","https://openalex.org/W2017137572","https://openalex.org/W2025852341","https://openalex.org/W2036200304","https://openalex.org/W2036794509","https://openalex.org/W2046791564","https://openalex.org/W2049063033","https://openalex.org/W2053615296","https://openalex.org/W2054658115","https://openalex.org/W2068425868","https://openalex.org/W2085543388","https://openalex.org/W2085906495","https://openalex.org/W2096740238","https://openalex.org/W2099525014","https://openalex.org/W2099738228","https://openalex.org/W2102019642","https://openalex.org/W2111512576","https://openalex.org/W2115723730","https://openalex.org/W2116142355","https://openalex.org/W2120796264","https://openalex.org/W2122243672","https://openalex.org/W2124982134","https://openalex.org/W2125491056","https://openalex.org/W2126571583","https://openalex.org/W2129709893","https://openalex.org/W2129730142","https://openalex.org/W2136332623","https://openalex.org/W2140577326","https://openalex.org/W2142635246","https://openalex.org/W2142684871","https://openalex.org/W2149077164","https://openalex.org/W2150731931","https://openalex.org/W2152322005","https://openalex.org/W2161500056","https://openalex.org/W2161670087","https://openalex.org/W2162076607","https://openalex.org/W2164934616","https://openalex.org/W2166475889","https://openalex.org/W2166644633","https://openalex.org/W2167598234","https://openalex.org/W2169118664","https://openalex.org/W2169755932","https://openalex.org/W2259656359","https://openalex.org/W2330070481","https://openalex.org/W2333114198","https://openalex.org/W2340513506","https://openalex.org/W2480611454","https://openalex.org/W2611311577","https://openalex.org/W2611939839","https://openalex.org/W2630710962","https://openalex.org/W2759547991","https://openalex.org/W2766748176","https://openalex.org/W2781829327","https://openalex.org/W2803968356","https://openalex.org/W2805775373","https://openalex.org/W2888774043","https://openalex.org/W2946265133","https://openalex.org/W2949977657","https://openalex.org/W2963227033","https://openalex.org/W2963424732","https://openalex.org/W3015584308","https://openalex.org/W3015671296","https://openalex.org/W3083979162","https://openalex.org/W3100410537","https://openalex.org/W4205234719","https://openalex.org/W4206180546","https://openalex.org/W4229706427","https://openalex.org/W4246784033","https://openalex.org/W4297970665","https://openalex.org/W6601915074","https://openalex.org/W6630559806","https://openalex.org/W6703925866","https://openalex.org/W6751707404","https://openalex.org/W6805108927"],"related_works":["https://openalex.org/W2167191142","https://openalex.org/W2144430672","https://openalex.org/W1495993365","https://openalex.org/W2116296883","https://openalex.org/W2096819128","https://openalex.org/W1970069248","https://openalex.org/W2133660019","https://openalex.org/W2510058038","https://openalex.org/W2152044198","https://openalex.org/W2130201862"],"abstract_inverted_index":{"In":[0,29],"estimation,":[1],"the":[2,12,18,38,41,46,65,74,83,97,139,142,146,150,163,167,173],"misspecified":[3],"CramerRao":[4,14],"bound":[5,15,51,90],"(MCRB),":[6],"which":[7,64],"is":[8,22,52,68,86,107,153,170],"an":[9],"extension":[10],"of":[11,37,73,131,141],"well-known":[13],"(CRB)":[16],"when":[17,82],"underlying":[19],"system":[20],"model":[21],"misspecified,":[23],"has":[24],"recently":[25],"attracted":[26],"much":[27],"attention.":[28],"this":[30],"paper,":[31],"we":[32,113],"introduce":[33],"a":[34,125],"new":[35],"interpretation":[36],"MCRB,":[39],"called":[40],"generalized":[42,159],"MCRB":[43],"(GMCRB),":[44],"via":[45],"MoorePenrose":[47],"inverse":[48],"operator.":[49],"This":[50],"useful":[53],"for":[54,78],"singular":[55],"problems":[56,62],"and":[57,99],"particularly":[58],"blind":[59,80],"channel":[60,84,98,132,151],"estimation":[61],"in":[63],"Hessian":[66],"matrix":[67],"noninvertible.":[69],"Two":[70,128],"closed-form":[71],"expressions":[72],"GMCRB":[75,169],"are":[76,102,118,135],"derived":[77],"unbiased":[79],"estimators":[81],"order":[85,133,152],"misspecified.":[87],"The":[88,104],"first":[89],"deals":[91],"with":[92],"deterministic":[93,174],"models":[94,111],"where":[95],"both":[96,158],"unknown":[100,119],"symbols":[101,117],"deterministic.":[103],"second":[105],"one":[106],"devoted":[108],"to":[109,137,162],"stochastic":[110,168],"here":[112],"assume":[114],"that":[115],"transmitted":[116],"random":[120],"variables":[121],"i.i.d.":[122],"drawn":[123],"from":[124],"Gaussian":[126],"distribution.":[127],"case":[129],"studies":[130],"misspecification":[134],"investigated":[136],"demonstrate":[138],"effectiveness":[140],"proposed":[143],"GMCRBs":[144],"over":[145],"classical":[147,164],"CRBs.":[148],"When":[149],"known":[154],"or":[155],"accurately":[156],"estimated,":[157],"bounds":[160],"reduce":[161],"bounds.":[165],"Besides,":[166],"lower":[171],"than":[172],"one,":[175],"especially":[176],"at":[177],"high":[178],"SNR.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-12T21:12:35.861297","created_date":"2025-10-10T00:00:00"}
