{"id":"https://openalex.org/W2018347455","doi":"https://doi.org/10.1109/tit.1980.1056196","title":"A multiplication-free solution for linear minimum mean-square estimation and equalization using the branch-and-bound principle","display_name":"A multiplication-free solution for linear minimum mean-square estimation and equalization using the branch-and-bound principle","publication_year":1980,"publication_date":"1980-05-01","ids":{"openalex":"https://openalex.org/W2018347455","doi":"https://doi.org/10.1109/tit.1980.1056196","mag":"2018347455"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1980.1056196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056196","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5110720960","display_name":"Tsun\u2010Yee Yan","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]},{"id":"https://openalex.org/I4210132870","display_name":"Xerox (United States)","ror":"https://ror.org/03jwzwq24","country_code":"US","type":"company","lineage":["https://openalex.org/I4210132870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tsun-Yee Yan","raw_affiliation_strings":["Department of System Science, School of Engineering and Applied Science, University of California, Los Angeles, USA","Xerox Corporation, Woodland Hills, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of System Science, School of Engineering and Applied Science, University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765","https://openalex.org/I2803209242"]},{"raw_affiliation_string":"Xerox Corporation, Woodland Hills, CA, USA","institution_ids":["https://openalex.org/I4210132870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108338875","display_name":"Kung Yao","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kung Yao","raw_affiliation_strings":["Department of System Science, School of Engineering and Applied Science, University of California, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of System Science, School of Engineering and Applied Science, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765","https://openalex.org/I2803209242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.6416,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.74196208,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"3","first_page":"316","last_page":"326"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/mathematics","display_name":"Mathematics","score":0.6395971179008484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4695259630680084},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4524787664413452},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4429529905319214},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.42269057035446167},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4113156795501709},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41093748807907104},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1629217565059662},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12665647268295288}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6395971179008484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4695259630680084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4524787664413452},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4429529905319214},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.42269057035446167},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4113156795501709},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41093748807907104},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1629217565059662},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12665647268295288}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1980.1056196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056196","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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":23,"referenced_works":["https://openalex.org/W1515682093","https://openalex.org/W1519532587","https://openalex.org/W1526491617","https://openalex.org/W1968688758","https://openalex.org/W2000108174","https://openalex.org/W2013562259","https://openalex.org/W2014512781","https://openalex.org/W2022393739","https://openalex.org/W2026405063","https://openalex.org/W2069618050","https://openalex.org/W2078358924","https://openalex.org/W2096159957","https://openalex.org/W2097772361","https://openalex.org/W2103054960","https://openalex.org/W2109808436","https://openalex.org/W2123241324","https://openalex.org/W2131086249","https://openalex.org/W2136885855","https://openalex.org/W2144931885","https://openalex.org/W3016251584","https://openalex.org/W4237874270","https://openalex.org/W4239894305","https://openalex.org/W4249058433"],"related_works":["https://openalex.org/W3093936885","https://openalex.org/W2994146737","https://openalex.org/W295308437","https://openalex.org/W2992046671","https://openalex.org/W2106539092","https://openalex.org/W4205300683","https://openalex.org/W56570565","https://openalex.org/W334259611","https://openalex.org/W4250723130","https://openalex.org/W4236853365"],"abstract_inverted_index":{"An":[0,137],"optimal":[1,103,173,195],"linear":[2,18,46,59,75,105],"mean-square":[3,166],"estimation":[4,19,41,76,84,106,188],"algorithm":[5,13,138],"is":[6,36,123,139],"derived":[7],"under":[8],"the":[9,12,44,58,74,83,102,114,142,158,165,171,176,180,187,194],"constraint":[10,160],"that":[11,113,157],"be":[14,89,191],"multiplication-free.":[15],"A":[16],"classical":[17,45,172],"problem":[20,77,107,111,129],"with":[21,68,170],"block":[22],"lengthNgenerally":[23],"requiresN^{2}multiplications.":[24],"For":[25],"many":[26],"on-line":[27],"signal":[28,51],"processing":[29],"situations":[30],"a":[31,49,65,79,131],"large":[32],"number":[33],"of":[34,40,48,61,91,133,183],"multiplications":[35,96],"objectionable.":[37],"This":[38],"class":[39],"problems":[42],"includes":[43],"filtering":[47,150],"random":[50,53],"in":[52],"noise,":[54],"as":[55,57,144,146],"well":[56,145],"equalization":[60],"digital":[62],"data":[63,152],"over":[64],"dispersive":[66],"channel":[67],"additive":[69],"noise.":[70],"Here":[71],"we":[72],"consider":[73],"on":[78],"binary":[80],"computer":[81],"where":[82],"parameters":[85,189],"are":[86,97,118],"constrained":[87,104],"to":[88,125,130,179,193],"powers":[90],"two":[92],"and":[93,151],"thus":[94],"all":[95],"replaced":[98],"by":[99],"shifts.":[100],"Then":[101],"resembles":[108],"an":[109],"integer-programming":[110],"except":[112],"allowable":[115],"discrete":[116],"points":[117],"nonintegers.":[119],"The":[120],"branch-and-bound":[121],"principle":[122],"used":[124],"convert":[126],"this":[127],"minimization":[128],"series":[132],"convex":[134],"programming":[135],"problems.":[136],"given":[140],"for":[141,149,186],"solution":[143],"numerical":[147],"results":[148],"equalization.":[153],"These":[154],"examples":[155],"show":[156],"multiplication-free":[159],"does":[161],"not":[162],"generally":[163],"increase":[164],"error":[167],"significantly":[168],"compared":[169],"solution.":[174,197],"Furthermore,":[175],"intuitive":[177],"\"round":[178],"nearest":[181],"power":[182],"two\"":[184],"procedure":[185],"can":[190],"inferior":[192],"brunch-and-bound":[196]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}