{"id":"https://openalex.org/W2119250603","doi":"https://doi.org/10.1109/78.205755","title":"Fast orthogonalization algorithm and parallel architecture for AR spectral estimation based on forward-backward linear prediction","display_name":"Fast orthogonalization algorithm and parallel architecture for AR spectral estimation based on forward-backward linear prediction","publication_year":1993,"publication_date":"1993-03-01","ids":{"openalex":"https://openalex.org/W2119250603","doi":"https://doi.org/10.1109/78.205755","mag":"2119250603"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/78.205755","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5082198916","display_name":"K.J. Ray Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I4210116219","display_name":"Engineering Systems (United States)","ror":"https://ror.org/02qg60849","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K.J. Ray Liu","raw_affiliation_strings":["Department of Electrical Engineering, Systems Research Center, University of Maryland, College Park, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Systems Research Center, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132","https://openalex.org/I4210116219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108401906","display_name":"S.F. Hsieh","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"S.F. Hsieh","raw_affiliation_strings":["Department of Communication Engineering, National Chiao Tung University, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Communication Engineering, National Chiao Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.171,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":3,"citation_normalized_percentile":{"value":0.465553,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":65,"max":68},"biblio":{"volume":"41","issue":"3","first_page":"1453","last_page":"1458"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9997,"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":0.9997,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9994,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.999,"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/orthogonalization","display_name":"Orthogonalization","score":0.82921076},{"id":"https://openalex.org/keywords/qr-decomposition","display_name":"QR decomposition","score":0.80654705},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.56715786},{"id":"https://openalex.org/keywords/linear-prediction","display_name":"Linear prediction","score":0.43107963}],"concepts":[{"id":"https://openalex.org/C47559304","wikidata":"https://www.wikidata.org/wiki/Q1702189","display_name":"Orthogonalization","level":2,"score":0.82921076},{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.80654705},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.7549852},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.66468275},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6572151},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.6477686},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.62955844},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5749684},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.56715786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4855799},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.45932314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4382132},{"id":"https://openalex.org/C131109320","wikidata":"https://www.wikidata.org/wiki/Q581012","display_name":"Linear prediction","level":2,"score":0.43107963},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.16143236},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.13452089},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/78.205755","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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":14,"referenced_works":["https://openalex.org/W1496923911","https://openalex.org/W1599533721","https://openalex.org/W1967203398","https://openalex.org/W2004730865","https://openalex.org/W2010961009","https://openalex.org/W2014412042","https://openalex.org/W2028279303","https://openalex.org/W2059885882","https://openalex.org/W2065405327","https://openalex.org/W2069657856","https://openalex.org/W2089957712","https://openalex.org/W2117039934","https://openalex.org/W2123914246","https://openalex.org/W2130877724"],"related_works":["https://openalex.org/W4386863313","https://openalex.org/W2949966822","https://openalex.org/W2897260157","https://openalex.org/W2583841453","https://openalex.org/W2533759852","https://openalex.org/W2229973481","https://openalex.org/W2086669233","https://openalex.org/W2009353134","https://openalex.org/W1986851914","https://openalex.org/W1965867049"],"abstract_inverted_index":{"Truncated":[0],"QR":[1,36],"methods":[2,11],"have":[3],"been":[4],"shown":[5],"to":[6,9,62,83,106],"be":[7,91],"comparable":[8],"SVD-based":[10],"for":[12,54],"the":[13,19,28,32,35,40,48,64,67,100],"sinusoidal":[14],"frequency":[15],"estimation":[16],"based":[17],"on":[18,47],"forward-backward":[20],"linear":[21,96],"prediction":[22],"(FBLP)":[23],"model.":[24],"However,":[25],"without":[26],"exploiting":[27,71],"special":[29,73],"structure":[30],"of":[31,39,50,66,102],"FBLP":[33,41,57,68],"matrix,":[34],"decomposition":[37],"(QRD)":[38],"matrix":[42,69],"has":[43],"a":[44,55,95],"computational":[45,79],"complexity":[46,80],"order":[49],"2(6m-n)n/sup":[51],"2//3+O(n/sup":[52],"2/)":[53],"2m*n":[56],"matrix.":[58],"A":[59],"fast":[60,87],"algorithm":[61,88],"perform":[63],"QRD":[65],"by":[70,94],"its":[72],"Toeplitz-Hankel":[74],"form":[75],"is":[76,81],"proposed.":[77],"The":[78,86],"reduced":[82],"10n/sup":[84],"2/+4mn+O(n).":[85],"can":[89],"also":[90],"easily":[92],"implemented":[93],"systolic":[97],"array,":[98],"reducing":[99],"number":[101],"time":[103],"steps":[104],"required":[105],"2m+5n-4.<":[107],">":[110]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2119250603","counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-01-19T13:13:55.750503","created_date":"2016-06-24"}