{"id":"https://openalex.org/W1871039318","doi":"https://doi.org/10.1109/icassp.2003.1199269","title":"Vector space solution to the multidimensional Yule-Walker equations","display_name":"Vector space solution to the multidimensional Yule-Walker equations","publication_year":2003,"publication_date":"2003-12-22","ids":{"openalex":"https://openalex.org/W1871039318","doi":"https://doi.org/10.1109/icassp.2003.1199269","mag":"1871039318"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2003.1199269","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2003.1199269","pdf_url":null,"source":{"id":"https://openalex.org/S4363608982","display_name":"2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.uri.edu/ele_facpubs/1340","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019494783","display_name":"Steven Kay","orcid":"https://orcid.org/0000-0002-9267-8040"},"institutions":[{"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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S.M. Kay","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Rhode Island, Kingston, RI, USA","Dept. of Electr. and Comput. Eng., Rhode Island Univ., Kingston, RI, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Rhode Island, Kingston, RI, USA","institution_ids":["https://openalex.org/I17626003"]},{"raw_affiliation_string":"Dept. of Electr. and Comput. Eng., Rhode Island Univ., Kingston, RI, USA#TAB#","institution_ids":["https://openalex.org/I17626003"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009841593","display_name":"Christopher P. Carbone","orcid":null},"institutions":[{"id":"https://openalex.org/I2799471739","display_name":"Naval Undersea Warfare Center","ror":"https://ror.org/04bnxa153","country_code":"US","type":"funder","lineage":["https://openalex.org/I1328969757","https://openalex.org/I1330347796","https://openalex.org/I2799471739","https://openalex.org/I3130687028"]},{"id":"https://openalex.org/I4399598358","display_name":"United States Navy","ror":"https://ror.org/03cs53d16","country_code":null,"type":"funder","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I4399598358"]},{"id":"https://openalex.org/I3130687028","display_name":"United States Department of the Navy","ror":"https://ror.org/03ar0mv07","country_code":"US","type":"funder","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C.P. Carbone","raw_affiliation_strings":["Division Newport, Naval Undersea Warfare Center, RI, USA","United States navy"],"affiliations":[{"raw_affiliation_string":"Division Newport, Naval Undersea Warfare Center, RI, USA","institution_ids":["https://openalex.org/I2799471739"]},{"raw_affiliation_string":"United States navy","institution_ids":["https://openalex.org/I3130687028","https://openalex.org/I4399598358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019494783"],"corresponding_institution_ids":["https://openalex.org/I17626003"],"apc_list":null,"apc_paid":null,"fwci":0.8509,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70635559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"III","last_page":"289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11698","display_name":"Underwater Acoustics Research","score":0.9556999802589417,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.955299973487854,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/autoregressive-model","display_name":"Autoregressive model","score":0.8653905987739563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6121824383735657},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5967195630073547},{"id":"https://openalex.org/keywords/multidimensional-systems","display_name":"Multidimensional systems","score":0.5842461585998535},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5700887441635132},{"id":"https://openalex.org/keywords/sonar","display_name":"Sonar","score":0.5534635782241821},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5142092704772949},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.48326927423477173},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45752936601638794},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33346933126449585},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3228966295719147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3167414963245392},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16109931468963623},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08868569135665894}],"concepts":[{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.8653905987739563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6121824383735657},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5967195630073547},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.5842461585998535},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5700887441635132},{"id":"https://openalex.org/C555745239","wikidata":"https://www.wikidata.org/wiki/Q133220","display_name":"Sonar","level":2,"score":0.5534635782241821},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5142092704772949},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.48326927423477173},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45752936601638794},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33346933126449585},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3228966295719147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3167414963245392},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16109931468963623},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08868569135665894},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2003.1199269","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2003.1199269","pdf_url":null,"source":{"id":"https://openalex.org/S4363608982","display_name":"2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).","raw_type":"proceedings-article"},{"id":"pmh:oai:digitalcommons.uri.edu:ele_facpubs-2339","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/ele_facpubs/1340","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical, Computer, and Biomedical Engineering Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:digitalcommons.uri.edu:ele_facpubs-2339","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/ele_facpubs/1340","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical, Computer, and Biomedical Engineering Faculty Publications","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1533155545","https://openalex.org/W2132150310","https://openalex.org/W2147652237"],"related_works":["https://openalex.org/W3199220297","https://openalex.org/W2137769200","https://openalex.org/W2032962400","https://openalex.org/W2952608638","https://openalex.org/W2911323905","https://openalex.org/W2130145841","https://openalex.org/W1890543963","https://openalex.org/W2350761455","https://openalex.org/W1996172652","https://openalex.org/W2347430706"],"abstract_inverted_index":{"The":[0],"paper":[1],"describes":[2],"a":[3,24],"vector":[4],"space":[5,69],"approach":[6,21],"to":[7,23,29,55,61],"solving":[8],"the":[9],"multidimensional":[10],"(mD)":[11],"Yule-Walker":[12],"equations":[13],"for":[14],"an":[15],"arbitrary":[16],"region":[17],"of":[18],"support.":[19],"This":[20],"leads":[22],"solution":[25],"that":[26,63],"is":[27],"simple":[28],"implement.":[30],"Two-dimensional":[31],"(2D)":[32],"autoregressive":[33],"(AR)":[34],"modelling":[35,51],"has":[36,52],"found":[37],"applications":[38,60],"in":[39,65],"image":[40],"processing,":[41],"sonar,":[42],"and":[43,47,68],"other":[44],"areas.":[45],"3D":[46],"higher":[48],"dimensional":[49],"AR":[50],"as":[53],"yet":[54],"be":[56,72],"extensively":[57],"studied":[58],"but":[59],"signals":[62],"vary":[64],"time,":[66],"frequency,":[67],"can":[70],"easily":[71],"envisioned.":[73]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}