{"id":"https://openalex.org/W2134004614","doi":"https://doi.org/10.1109/tit.1962.1057794","title":"Optimum zero memory filters","display_name":"Optimum zero memory filters","publication_year":1962,"publication_date":"1962-10-01","ids":{"openalex":"https://openalex.org/W2134004614","doi":"https://doi.org/10.1109/tit.1962.1057794","mag":"2134004614"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1962.1057794","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1962.1057794","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/A5053173028","display_name":"Leo I. Bluestein","orcid":null},"institutions":[{"id":"https://openalex.org/I4210122954","display_name":"MIT Lincoln Laboratory","ror":"https://ror.org/022z6jk58","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210122954","https://openalex.org/I63966007"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L. Bluestein","raw_affiliation_strings":["Department of Elecrical Engineering, Columbia University, NY, USA","Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Elecrical Engineering, Columbia University, NY, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, MA, USA","institution_ids":["https://openalex.org/I4210122954","https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012338094","display_name":"Robert Schwarz","orcid":"https://orcid.org/0000-0002-0654-0943"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Schwarz","raw_affiliation_strings":["Department of Elecrical Engineering, Columbia University, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Elecrical Engineering, Columbia University, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053173028"],"corresponding_institution_ids":["https://openalex.org/I4210122954","https://openalex.org/I63966007","https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":9.5769,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.97588126,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"6","first_page":"337","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13608","display_name":"Advanced Computational Techniques in Science and Engineering","score":0.8866000175476074,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T13608","display_name":"Advanced Computational Techniques in Science and Engineering","score":0.8866000175476074,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.8744999766349792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/antisymmetric-relation","display_name":"Antisymmetric relation","score":0.7525674104690552},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6899423003196716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6085016131401062},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5563701391220093},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5445700883865356},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5322684049606323},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5266851186752319},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.5012013912200928},{"id":"https://openalex.org/keywords/root-raised-cosine-filter","display_name":"Root-raised-cosine filter","score":0.4846659004688263},{"id":"https://openalex.org/keywords/low-pass-filter","display_name":"Low-pass filter","score":0.44611692428588867},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39087721705436707},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3203595280647278},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2355983853340149},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07197234034538269}],"concepts":[{"id":"https://openalex.org/C152401794","wikidata":"https://www.wikidata.org/wiki/Q583760","display_name":"Antisymmetric relation","level":2,"score":0.7525674104690552},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6899423003196716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6085016131401062},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5563701391220093},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5445700883865356},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5322684049606323},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5266851186752319},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.5012013912200928},{"id":"https://openalex.org/C76826599","wikidata":"https://www.wikidata.org/wiki/Q1248611","display_name":"Root-raised-cosine filter","level":4,"score":0.4846659004688263},{"id":"https://openalex.org/C44682112","wikidata":"https://www.wikidata.org/wiki/Q918242","display_name":"Low-pass filter","level":3,"score":0.44611692428588867},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39087721705436707},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3203595280647278},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2355983853340149},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07197234034538269},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1962.1057794","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1962.1057794","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2112172398","https://openalex.org/W2130630648","https://openalex.org/W2148279974","https://openalex.org/W2163729192","https://openalex.org/W4230965853"],"related_works":["https://openalex.org/W2127740252","https://openalex.org/W2080577510","https://openalex.org/W1991978401","https://openalex.org/W2020924756","https://openalex.org/W1526610477","https://openalex.org/W2026053592","https://openalex.org/W3101182370","https://openalex.org/W2307926856","https://openalex.org/W2353799454","https://openalex.org/W2158212393"],"abstract_inverted_index":{"The":[0,40,47,72,107],"equations":[1],"for":[2,68,83,118],"the":[3,11,20,32,66,91,99,115,120],"optimum":[4,73],"zero":[5,74],"memory":[6,75],"filter":[7,24,50,52,76,95],"are":[8,45,124],"derived":[9],"using":[10],"mean":[12],"absolute":[13],"error":[14],"criterion.":[15],"It":[16],"is":[17,25,55,70,77,96,114],"shown":[18,78],"that":[19],"characteristic":[21,92],"of":[22,42,63,89,93,105],"this":[23,43,94,112],"antisymmetric":[26],"about":[27],"a":[28,81,87,102],"certain":[29],"point":[30,44],"when":[31,98],"signal":[33,100,121],"and":[34,86,122],"noise":[35,123],"densities":[36],"have":[37],"symmetry":[38],"properties.":[39],"coordinates":[41],"found.":[46],"\"direct":[48],"connection\"":[49],"(no":[51],"at":[53],"all)":[54],"found":[56],"to":[57,79],"be":[58,80],"nonoptimal":[59],"in":[60,111],"all":[61],"cases":[62],"interest:":[64],"consequently":[65],"need":[67],"filtering":[69],"established.":[71],"quantizer":[82],"quantized":[84],"signals":[85],"method":[88],"obtaining":[90],"developed":[97],"has":[101],"finite":[103],"number":[104],"levels.":[106],"only":[108],"case":[109],"considered":[110],"paper":[113],"common":[116],"one":[117],"which":[119],"statistically":[125],"independent.":[126]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}