{"id":"https://openalex.org/W2163565345","doi":"https://doi.org/10.1109/tit.1964.1053666","title":"Detection of the peak of an arbitrary spectrum","display_name":"Detection of the peak of an arbitrary spectrum","publication_year":1964,"publication_date":"1964-07-01","ids":{"openalex":"https://openalex.org/W2163565345","doi":"https://doi.org/10.1109/tit.1964.1053666","mag":"2163565345"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1964.1053666","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1964.1053666","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/A5040295629","display_name":"Leonard Kleinrock","orcid":"https://orcid.org/0000-0002-0662-707X"},"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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L. Kleinrock","raw_affiliation_strings":["Department of Engineering, University of California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040295629"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":1.7621,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.8680807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"3","first_page":"215","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.963100016117096,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.963100016117096,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9617999792098999,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9610000252723694,"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/spectrum","display_name":"Spectrum (functional analysis)","score":0.7202552556991577},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5973700284957886},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5899360179901123},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5779823064804077},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5345216393470764},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.4921497702598572},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.48045843839645386},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.4641621708869934},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4455114006996155},{"id":"https://openalex.org/keywords/spectral-resolution","display_name":"Spectral resolution","score":0.41078099608421326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4041622281074524},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3495837152004242},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2934798002243042},{"id":"https://openalex.org/keywords/spectral-line","display_name":"Spectral line","score":0.26708099246025085},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24423906207084656},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15011563897132874},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1002817153930664}],"concepts":[{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.7202552556991577},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5973700284957886},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5899360179901123},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5779823064804077},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5345216393470764},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.4921497702598572},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.48045843839645386},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4641621708869934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4455114006996155},{"id":"https://openalex.org/C124967146","wikidata":"https://www.wikidata.org/wiki/Q3457898","display_name":"Spectral resolution","level":3,"score":0.41078099608421326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4041622281074524},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3495837152004242},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2934798002243042},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.26708099246025085},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24423906207084656},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15011563897132874},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1002817153930664},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1964.1053666","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1964.1053666","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":2,"referenced_works":["https://openalex.org/W238822005","https://openalex.org/W2021066024"],"related_works":["https://openalex.org/W2370982932","https://openalex.org/W2094006148","https://openalex.org/W2023108132","https://openalex.org/W2069071988","https://openalex.org/W2243068570","https://openalex.org/W1610048880","https://openalex.org/W3141728769","https://openalex.org/W2087178999","https://openalex.org/W3125152891","https://openalex.org/W2359611732"],"abstract_inverted_index":{"A":[0],"new":[1],"procedure":[2,25,110,126,135],"is":[3,26,44,65,90,160],"described":[4],"for":[5],"determining":[6],"that":[7,27,46,142,164],"frequency":[8,71,97],"at":[9],"which":[10],"the":[11,24,33,36,39,47,50,74,77,80,109,125,139,151,165,178,182],"spectrum":[12,37,81],"of":[13,23,35,38,49,58,76,79,82,98,117,124,131,133,145,153,167,185],"a":[14,59,66,103,113,121,147,186],"signal":[15,40,148,188],"has":[16,170],"its":[17,154],"absolute":[18],"peak.":[19],"The":[20,129],"salient":[21],"feature":[22],"it":[28,43],"does":[29],"not":[30,171],"explicitly":[31],"involve":[32],"estimation":[34],"itself.":[41],"Specifically,":[42],"shown":[45],"limit":[48],"iterated":[51],"normalized":[52],"auto-correlation":[53],"[see":[54],"(8)":[55],"and":[56,138],"(9)]":[57],"function,":[60],"<tex":[61,83],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[62,84],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">f(t)</tex>":[63,85],",":[64],"pure":[67],"cosine":[68],"wave":[69],"whose":[70],"corresponds":[72],"to":[73,92,101,162,181],"location":[75],"peak":[78,96,152,184],".":[86],"Furthermore,":[87],"if":[88],"one":[89],"willing":[91],"accept":[93],"an":[94],"estimated":[95],"maximum":[99],"energy":[100],"within":[102],"given":[104],"finite":[105,115],"spectral":[106,183],"resolution,":[107],"then":[108],"terminates":[111],"after":[112],"specified":[114],"number":[116],"iterations.":[118],"Results":[119],"from":[120],"computer":[122],"simulation":[123],"are":[127,136],"described.":[128],"areas":[130],"application":[132],"this":[134,143,175],"discussed,":[137],"results":[140,179],"indicate":[141],"method":[144],"detecting":[146],"(i.e.,":[149],"by":[150],"spectrum)":[155],"merits":[156],"further":[157],"consideration.":[158],"It":[159],"important":[161],"note":[163],"consideration":[166],"random":[168],"processes":[169],"been":[172],"undertaken":[173],"in":[174],"initial":[176],"study;":[177],"apply":[180],"deterministic":[187],"only.":[189]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
