{"id":"https://openalex.org/W1974485740","doi":"https://doi.org/10.1109/lsp.2012.2223816","title":"Minimum Norm Least Squares Extrapolation Estimate for Discrete (a,b,c,d)-Bandlimited Signals","display_name":"Minimum Norm Least Squares Extrapolation Estimate for Discrete (a,b,c,d)-Bandlimited Signals","publication_year":2012,"publication_date":"2012-10-11","ids":{"openalex":"https://openalex.org/W1974485740","doi":"https://doi.org/10.1109/lsp.2012.2223816","mag":"1974485740"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2012.2223816","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2223816","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5100602279","display_name":"Hui Zhao","orcid":"https://orcid.org/0000-0002-7449-9057"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hui Zhao","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","Sch. of Commun. & Inf. Eng., ChongQing Univ. of Posts & Telecommun., Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"Sch. of Commun. & Inf. Eng., ChongQing Univ. of Posts & Telecommun., Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015476236","display_name":"Ruyan Wang","orcid":"https://orcid.org/0000-0003-3109-4807"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruyan Wang","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","Sch. of Commun. & Inf. Eng., ChongQing Univ. of Posts & Telecommun., Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"Sch. of Commun. & Inf. Eng., ChongQing Univ. of Posts & Telecommun., Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110106688","display_name":"Daiping Song","orcid":null},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Daiping Song","raw_affiliation_strings":["College of Mechanical Engineering, Chongqing University, Chongqing, China","Coll. of Mech. Eng., Chongqing Univ., Chongqing, , China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"Coll. of Mech. Eng., Chongqing Univ., Chongqing, , China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100416785","display_name":"Dapeng Wu","orcid":"https://orcid.org/0000-0003-2105-9418"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dapeng Wu","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","Sch. of Commun. & Inf. Eng., ChongQing Univ. of Posts & Telecommun., Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"Sch. of Commun. & Inf. Eng., ChongQing Univ. of Posts & Telecommun., Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100425383","display_name":"Tianqi Zhang","orcid":"https://orcid.org/0000-0002-9116-040X"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianqi Zhang","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","Sch. of Commun. & Inf. Eng., ChongQing Univ. of Posts & Telecommun., Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"Sch. of Commun. & Inf. Eng., ChongQing Univ. of Posts & Telecommun., Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100602279"],"corresponding_institution_ids":["https://openalex.org/I10535382"],"apc_list":null,"apc_paid":null,"fwci":0.8279,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.67647961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"19","issue":"12","first_page":"853","last_page":"856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9991000294685364,"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/extrapolation","display_name":"Extrapolation","score":0.9136247634887695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.521605372428894},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5160743594169617},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4516505300998688},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4395424723625183},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34254682064056396},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26123613119125366}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.9136247634887695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.521605372428894},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5160743594169617},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4516505300998688},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4395424723625183},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34254682064056396},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26123613119125366},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2012.2223816","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2223816","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W606473257","https://openalex.org/W1982061533","https://openalex.org/W1995122309","https://openalex.org/W2028936556","https://openalex.org/W2037379772","https://openalex.org/W2044516693","https://openalex.org/W2046895210","https://openalex.org/W2055938739","https://openalex.org/W2057809775","https://openalex.org/W2062627080","https://openalex.org/W2067111814","https://openalex.org/W2097961244","https://openalex.org/W2101736039","https://openalex.org/W2105033973","https://openalex.org/W2107164950","https://openalex.org/W2108943734","https://openalex.org/W2138043286","https://openalex.org/W2139563388","https://openalex.org/W2149855663","https://openalex.org/W2160426217","https://openalex.org/W2161542572","https://openalex.org/W2161697193","https://openalex.org/W2166804937","https://openalex.org/W6657887167"],"related_works":["https://openalex.org/W1968270095","https://openalex.org/W2220129715","https://openalex.org/W4296478327","https://openalex.org/W2042397106","https://openalex.org/W4361730764","https://openalex.org/W1965029248","https://openalex.org/W1960072520","https://openalex.org/W2023776155","https://openalex.org/W2387596242","https://openalex.org/W3048095155"],"abstract_inverted_index":{"This":[0],"letter":[1],"investigates":[2],"the":[3,34,48,79,83,95,105,108],"extrapolation":[4,35,61,74,80,88,110],"problem":[5,36],"of":[6,43,107],"discrete":[7],"(":[8],"<i":[9,13,17,21],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,14,18,22],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">a</i>":[11],",":[12,16,20],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">b</i>":[15],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">c</i>":[19],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</i>":[23],")-bandlimited":[24],"signals.":[25],"Based":[26],"on":[27],"operator":[28],"notations,":[29],"we":[30],"first":[31],"show":[32],"that":[33,78],"amounts":[37],"to":[38,57,70,93,103],"finding":[39],"an":[40,44,59,73],"admissible":[41,60],"solution":[42,54],"under-determined":[45],"system.":[46],"Then":[47],"minimum":[49],"norm":[50],"least":[51],"squares":[52],"(MNLS)":[53],"is":[55,68,90],"shown":[56],"be":[58],"estimate.":[62,85,97],"Besides,":[63],"singular":[64],"value":[65],"decomposition":[66],"method":[67],"used":[69],"set":[71],"up":[72],"formula":[75],"which":[76],"guarantees":[77],"result":[81],"achieves":[82],"MNLS":[84,96],"An":[86],"iterative":[87],"algorithm":[89],"also":[91],"proposed":[92,109],"achieve":[94],"Finally,":[98],"numerical":[99],"results":[100],"are":[101],"given":[102],"demonstrate":[104],"efficiency":[106],"algorithms.":[111]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
