{"id":"https://openalex.org/W2098659085","doi":"https://doi.org/10.1109/tit.1967.1053962","title":"Output characteristic function for an analog crosscorrelator with bandpass inputs","display_name":"Output characteristic function for an analog crosscorrelator with bandpass inputs","publication_year":1967,"publication_date":"1967-01-01","ids":{"openalex":"https://openalex.org/W2098659085","doi":"https://doi.org/10.1109/tit.1967.1053962","mag":"2098659085"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1967.1053962","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1967.1053962","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/A5030641175","display_name":"J. Brown","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. Brown","raw_affiliation_strings":["Ordnance Research Laboratory, Pennsylvania State University, State College, PA, USA","[Ordnance Research Laboratory, Pennsylvania State University, State College, PA, USA]"],"affiliations":[{"raw_affiliation_string":"Ordnance Research Laboratory, Pennsylvania State University, State College, PA, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"[Ordnance Research Laboratory, Pennsylvania State University, State College, PA, USA]","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004209541","display_name":"H. Piper","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Piper","raw_affiliation_strings":["Ordnance Research Laboratory, Pennsylvania State University, State College, PA, USA","[Ordnance Research Laboratory, Pennsylvania State University, State College, PA, USA]"],"affiliations":[{"raw_affiliation_string":"Ordnance Research Laboratory, Pennsylvania State University, State College, PA, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"[Ordnance Research Laboratory, Pennsylvania State University, State College, PA, USA]","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030641175"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":2.6945,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.89719888,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"1","first_page":"6","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9735000133514404,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9731000065803528,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4985618591308594},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.43899279832839966},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37657567858695984},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3703714907169342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31922149658203125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2784709632396698},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17944514751434326}],"concepts":[{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4985618591308594},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.43899279832839966},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37657567858695984},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3703714907169342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31922149658203125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2784709632396698},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17944514751434326},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1967.1053962","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1967.1053962","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":7,"referenced_works":["https://openalex.org/W1995269534","https://openalex.org/W2073447046","https://openalex.org/W2163729192","https://openalex.org/W2270623502","https://openalex.org/W4213062135","https://openalex.org/W4300528079","https://openalex.org/W6694057651"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W238609530","https://openalex.org/W2734192830","https://openalex.org/W3016395638","https://openalex.org/W1636163329","https://openalex.org/W4292947165","https://openalex.org/W3045121788","https://openalex.org/W3201655533","https://openalex.org/W3134442314","https://openalex.org/W2051487156"],"abstract_inverted_index":{"An":[0],"analysis":[1],"is":[2,26,100,122,217],"presented":[3],"of":[4,15,85,92,119,126,130,158,176,201,211,224],"an":[5,103,123,212],"ideal":[6,104],"two-channel":[7],"cross-correlator":[8],"in":[9,134,164,193],"which":[10],"each":[11],"channel":[12],"input":[13,30,182],"consists":[14],"a":[16,155,190,221],"deterministic":[17],"signal":[18],"combined":[19],"additively":[20],"with":[21,52,76,151,214],"stationary":[22],"Gaussian":[23,162],"noise.":[24],"It":[25],"assumed":[27,73],"that":[28],"all":[29],"quantities":[31,183],"are":[32,72],"bandlimited":[33],"to":[34,107,219],"some":[35],"common":[36],"passband,":[37],"<tex":[38,55,65,69,79,86,112,131],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[39,56,66,70,80,87,113,132],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0":[40],"&lt;":[41],"\\omega_{0}-":[42],"\\Omega/2":[43],"\\leq":[44,47],"|\\omega":[45],"|":[46],"\\omega_{0}":[48],"+":[49],"\\Omega/2</tex>":[50],",":[51],"angular":[53],"bandwidth":[54],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\Omega":[57],"&gt;":[58],"0</tex>":[59],".":[60,89,115],"Moreover,":[61],"the":[62,93,97,109,120,127,148,161,165,180,186,194,207,225],"random":[63],"noises":[64,163],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n_{1}(t)</tex>":[67],"and":[68,154,184],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n_{2}(t)</tex>":[71],"jointly":[74],"normal":[75],"crosscorrelation":[77],"function":[78,129],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">E[n_{1}(t)\\cdot":[81],"n_{2}(t+":[82],"\\tau)]</tex>":[83],"independent":[84],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t</tex>":[88],"After":[90],"multiplication":[91],"two":[94,166],"composite":[95],"inputs,":[96],"product":[98],"process":[99],"passed":[101],"through":[102],"lowpass":[105],"filter":[106],"produce":[108],"correlator":[110],"output,":[111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">G(t)</tex>":[114,133],"The":[116,168],"main":[117],"result":[118,200],"paper":[121],"explicit":[124],"determination":[125],"characteristic":[128],"closed":[135],"form.":[136],"This":[137],"extends":[138],"previous":[139],"work":[140],"by":[141],"D.":[142],"C.":[143],"Cooper":[144],"[1],":[145],"who":[146],"considered":[147],"same":[149],"model":[150],"sinusoidal":[152],"signals":[153],"restricted":[156],"form":[157,192],"dependency":[159],"between":[160],"channels.":[167],"more":[169],"general":[170],"derivation":[171],"given":[172],"here":[173],"makes":[174],"use":[175],"canonical":[177],"representations":[178],"for":[179],"bandpass":[181,215],"exhibits":[185],"system":[187],"output":[188,208],"as":[189],"quadratic":[191],"(Gaussian)":[195],"quadrature":[196],"components.":[197],"A":[198],"recent":[199],"Yu.":[202],"S.":[203],"Lezin":[204],"[6]":[205],"on":[206],"probability":[209],"density":[210],"autocorrelator":[213],"inputs":[216],"shown":[218],"be":[220],"special":[222],"case":[223],"analysis.":[226]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
