{"id":"https://openalex.org/W2165416206","doi":"https://doi.org/10.1162/089976601300014312","title":"Sampling Properties of the Spectrum and Coherency of Sequences of Action Potentials","display_name":"Sampling Properties of the Spectrum and Coherency of Sequences of Action Potentials","publication_year":2001,"publication_date":"2001-04-01","ids":{"openalex":"https://openalex.org/W2165416206","doi":"https://doi.org/10.1162/089976601300014312","mag":"2165416206","pmid":"https://pubmed.ncbi.nlm.nih.gov/11255566"},"language":"en","primary_location":{"id":"doi:10.1162/089976601300014312","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976601300014312","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5060198168","display_name":"M. R. Jarvis","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. R. Jarvis","raw_affiliation_strings":["Division of Biology, California Institute of Technology, Pasadena, California 91125, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Biology, California Institute of Technology, Pasadena, California 91125, U.S.A","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037732748","display_name":"Partha P. Mitra","orcid":"https://orcid.org/0000-0001-8818-6804"},"institutions":[{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"P. P. Mitra","raw_affiliation_strings":["Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974, U.S.A","institution_ids":["https://openalex.org/I1322087612"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1721,"has_fulltext":false,"cited_by_count":416,"citation_normalized_percentile":{"value":0.87495035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"13","issue":"4","first_page":"717","last_page":"749"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10423","display_name":"Neurobiology and Insect Physiology Research","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10427","display_name":"Visual perception and processing mechanisms","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.8028319478034973},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6772089004516602},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6103187203407288},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5908066034317017},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.5141511559486389},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5095846652984619},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4965365529060364},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.49625998735427856},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.47937873005867004},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4694998264312744},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4006790518760681},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34052181243896484},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28634655475616455},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2656095623970032},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12696856260299683}],"concepts":[{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.8028319478034973},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6772089004516602},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6103187203407288},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5908066034317017},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.5141511559486389},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5095846652984619},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4965365529060364},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.49625998735427856},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.47937873005867004},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4694998264312744},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4006790518760681},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34052181243896484},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28634655475616455},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2656095623970032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12696856260299683},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004558","descriptor_name":"Electric Stimulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004558","descriptor_name":"Electric Stimulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004558","descriptor_name":"Electric Stimulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004594","descriptor_name":"Electrophysiology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004594","descriptor_name":"Electrophysiology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004594","descriptor_name":"Electrophysiology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":7,"locations":[{"id":"doi:10.1162/089976601300014312","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976601300014312","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:11255566","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/11255566","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural computation","raw_type":null},{"id":"pmh:oai:repository.cshl.edu:25838","is_oa":false,"landing_page_url":"https://repository.cshl.edu/id/eprint/25838/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402288","display_name":"Cold Spring Harbor Laboratory Institutional Repository (Cold Spring Harbor Laboratory)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2750212522","host_organization_name":"Cold Spring Harbor Laboratory","host_organization_lineage":["https://openalex.org/I2750212522"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Paper"},{"id":"pmh:oai:repository.cshl.edu:41238","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402288","display_name":"Cold Spring Harbor Laboratory Institutional Repository (Cold Spring Harbor Laboratory)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2750212522","host_organization_name":"Cold Spring Harbor Laboratory","host_organization_lineage":["https://openalex.org/I2750212522"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Paper"},{"id":"pmh:oai:authors.library.caltech.edu:27621","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20111104-083506955","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.261.7573","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.261.7573","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/physics/0002053v1.pdf","raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:428958","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/428958","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7900000214576721,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W641242542","https://openalex.org/W1494248198","https://openalex.org/W1580530921","https://openalex.org/W1967969088","https://openalex.org/W1968391698","https://openalex.org/W1995945562","https://openalex.org/W2003233658","https://openalex.org/W2016527110","https://openalex.org/W2021503227","https://openalex.org/W2063698478","https://openalex.org/W2067244657","https://openalex.org/W2079948225","https://openalex.org/W2088092325","https://openalex.org/W2091822727","https://openalex.org/W2094542824","https://openalex.org/W2095649898","https://openalex.org/W2143909910","https://openalex.org/W2155722796","https://openalex.org/W2263224228","https://openalex.org/W2325135001","https://openalex.org/W2341283081","https://openalex.org/W2398741376","https://openalex.org/W2549568718","https://openalex.org/W2797835225","https://openalex.org/W2798497704","https://openalex.org/W3104833475","https://openalex.org/W4235901675"],"related_works":["https://openalex.org/W2383807498","https://openalex.org/W1978572805","https://openalex.org/W4298392797","https://openalex.org/W1979678609","https://openalex.org/W2180122548","https://openalex.org/W2170952786","https://openalex.org/W2540109848","https://openalex.org/W1973807587","https://openalex.org/W2119404122","https://openalex.org/W3117169107"],"abstract_inverted_index":{"The":[0],"spectrum":[1,188],"and":[2,12,16,31,75,173,224],"coherency":[3],"are":[4,79,88,104],"useful":[5],"quantities":[6],"for":[7,177,263],"characterizing":[8],"the":[9,43,62,66,73,101,120,123,135,141,144,149,160,167,179,194,201,239,261],"temporal":[10],"correlations":[11],"functional":[13],"relations":[14],"within":[15],"between":[17],"point":[18,138,164,186,221,231,247],"processes.":[19],"This":[20,69,204],"article":[21],"begins":[22],"with":[23,217],"a":[24,92,107,131,175,182,185,197,208,230,235],"review":[25,67],"of":[26,39,46,122,137,146,148,154,163,181,196,200,226,243,255],"these":[27,49],"quantities,":[28],"their":[29,76],"interpretation,":[30],"how":[32,40,72],"they":[33],"may":[34],"be":[35,126,152,251],"estimated.":[36],"A":[37],"discussion":[38],"to":[41,117,193,213,220,246,253],"assess":[42],"statistical":[44,210],"significance":[45],"features":[47],"in":[48,65,99,115,140,166,184,228],"measures":[50],"is":[51,57,112,189,225,242],"included.":[52],"In":[53],"addition,":[54],"new":[55,170],"work":[56,70,171,205],"presented":[58],"that":[59,114,207],"builds":[60],"on":[61,91],"framework":[63],"established":[64],"section.":[68],"investigates":[71],"estimates":[74],"error":[77],"bars":[78],"modified":[80],"by":[81,128,134,159,234],"finite":[82],"sample":[83,86],"sizes.":[84],"Finite":[85],"corrections":[87],"derived":[89],"based":[90],"doubly":[93],"stochastic":[94],"inhomogeneous":[95],"Poisson":[96],"process":[97,187,222,232],"model":[98],"which":[100],"rate":[102],"functions":[103],"drawn":[105],"from":[106,157],"low-variance":[108],"gaussian":[109],"process.":[110],"It":[111],"found":[113],"contrast":[116],"continuous":[118,214,236],"processes,":[119,215,248],"variance":[121],"estimators":[124,150],"cannot":[125],"reduced":[127],"smoothing":[129],"beyond":[130],"scale":[132],"set":[133],"number":[136,162],"events":[139,165],"interval.":[142,168],"Alternatively,":[143],"degrees":[145],"freedom":[147],"can":[151],"thought":[153],"as":[155],"bounded":[156],"above":[158],"expected":[161],"Further":[169],"describing":[172],"illustrating":[174],"method":[176],"detecting":[178],"presence":[180],"line":[183],"also":[190],"presented,":[191],"corresponding":[192],"detection":[195],"periodic":[198],"modulation":[199],"underlying":[202],"rate.":[203],"demonstrates":[206],"known":[209],"test,":[211],"applicable":[212],"applies":[216],"little":[218],"modification":[219],"spectra":[223],"utility":[227],"studying":[229],"driven":[233],"stimulus.":[237],"Although":[238],"material":[240],"discussed":[241],"general":[244],"applicability":[245],"attention":[249],"will":[250],"confined":[252],"sequences":[254],"neuronal":[256],"action":[257],"potentials":[258],"(spike":[259],"trains),":[260],"motivation":[262],"this":[264],"work.":[265]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":23},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":20},{"year":2015,"cited_by_count":22},{"year":2014,"cited_by_count":25},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":20}],"updated_date":"2026-07-21T08:15:58.654021","created_date":"2025-10-10T00:00:00"}