{"id":"https://openalex.org/W4391419789","doi":"https://doi.org/10.1109/camsap58249.2023.10403427","title":"Toeplitz Inverse Eigenvalue Problem (ToIEP) and Random Matrix Theory (RMT) Support for Calculation of the Toeplitz Covariance Matrix Estimate","display_name":"Toeplitz Inverse Eigenvalue Problem (ToIEP) and Random Matrix Theory (RMT) Support for Calculation of the Toeplitz Covariance Matrix Estimate","publication_year":2023,"publication_date":"2023-12-10","ids":{"openalex":"https://openalex.org/W4391419789","doi":"https://doi.org/10.1109/camsap58249.2023.10403427"},"language":"en","primary_location":{"id":"doi:10.1109/camsap58249.2023.10403427","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/camsap58249.2023.10403427","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5112005763","display_name":"Yuri I. Abramovich","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuri Abramovich","raw_affiliation_strings":["WR Systems, Ltd.,Fairfax,VA,USA,22030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"WR Systems, Ltd.,Fairfax,VA,USA,22030","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5092013118","display_name":"Tanit Pongsiri","orcid":"https://orcid.org/0000-0002-2704-2126"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tanit Pongsiri","raw_affiliation_strings":["WR Systems, Ltd.,Fairfax,VA,USA,22030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"WR Systems, Ltd.,Fairfax,VA,USA,22030","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4833,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63964386,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9990000128746033,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9990000128746033,"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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9866999983787537,"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/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9797999858856201,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.9382867813110352},{"id":"https://openalex.org/keywords/levinson-recursion","display_name":"Levinson recursion","score":0.7480876445770264},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.626124382019043},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.599162220954895},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5799903869628906},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5617802143096924},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49889636039733887},{"id":"https://openalex.org/keywords/estimation-of-covariance-matrices","display_name":"Estimation of covariance matrices","score":0.4955223798751831},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.4892444610595703},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4593977630138397},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.456603080034256},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37039750814437866},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2958142161369324},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2738295793533325},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0825779139995575},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.05769333243370056},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05459079146385193}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.9382867813110352},{"id":"https://openalex.org/C122212055","wikidata":"https://www.wikidata.org/wiki/Q11679774","display_name":"Levinson recursion","level":3,"score":0.7480876445770264},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.626124382019043},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.599162220954895},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5799903869628906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5617802143096924},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49889636039733887},{"id":"https://openalex.org/C180877172","wikidata":"https://www.wikidata.org/wiki/Q5401390","display_name":"Estimation of covariance matrices","level":3,"score":0.4955223798751831},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.4892444610595703},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4593977630138397},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.456603080034256},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37039750814437866},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2958142161369324},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2738295793533325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0825779139995575},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05769333243370056},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05459079146385193},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/camsap58249.2023.10403427","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/camsap58249.2023.10403427","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","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":12,"referenced_works":["https://openalex.org/W1999640431","https://openalex.org/W2004064635","https://openalex.org/W2055576793","https://openalex.org/W2068135051","https://openalex.org/W2096710051","https://openalex.org/W2105502962","https://openalex.org/W2110106967","https://openalex.org/W2150629312","https://openalex.org/W2157921975","https://openalex.org/W4235706696","https://openalex.org/W4300657400","https://openalex.org/W4312258136"],"related_works":["https://openalex.org/W2045714585","https://openalex.org/W2374553943","https://openalex.org/W1654107233","https://openalex.org/W1987843132","https://openalex.org/W2182312572","https://openalex.org/W2201692517","https://openalex.org/W2132055139","https://openalex.org/W1970352732","https://openalex.org/W2044229471","https://openalex.org/W1490839664"],"abstract_inverted_index":{"\u201cToeplitization\u201d":[0],"or":[1],"\u201credundancy":[2],"averaging\u201d":[3],"is":[4],"the":[5,10,15,21,33,44],"well-known":[6],"procedure":[7],"of":[8,26,49],"getting":[9],"Toeplitz":[11],"matrix":[12],"estimate":[13,28],"from":[14,71],"standard":[16],"sample":[17],"covariance":[18,37],"matrix.":[19],"Despite":[20],"recently":[22],"proven":[23],"asymptotic":[24],"consistency":[25],"this":[27,53],"(with$N\\rightarrow\\infty_{2}T\\rightarrow":[29],"\\infty,T/N\\rightarrow":[30],"c)$,":[31],"for":[32],"weakly":[34],"positive":[35],"definite":[36],"matrices,":[38],"redundancy":[39],"averaging":[40],"typically":[41],"leads":[42],"to":[43,63],"estimates":[45,59],"with":[46],"a":[47,65],"number":[48],"negative":[50],"eigenvalues.":[51],"In":[52],"paper,":[54],"we":[55],"demonstrate":[56],"how":[57],"these":[58],"may":[60],"be":[61],"rectified":[62],"meet":[64],"sub-optimal":[66],"condition,":[67],"using":[68],"computational":[69],"tools":[70],"ToIEP":[72],"and":[73],"RMT":[74],"methodologies.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
