{"id":"https://openalex.org/W2096307606","doi":"https://doi.org/10.1109/tassp.1987.1165242","title":"Two nonparametric methods for identifying the impulse response of linear systems","display_name":"Two nonparametric methods for identifying the impulse response of linear systems","publication_year":1987,"publication_date":"1987-07-01","ids":{"openalex":"https://openalex.org/W2096307606","doi":"https://doi.org/10.1109/tassp.1987.1165242","mag":"2096307606"},"language":"en","primary_location":{"id":"doi:10.1109/tassp.1987.1165242","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165242","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","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/A5080258907","display_name":"U.K. Bhargava","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/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"U. Bhargava","raw_affiliation_strings":["Lincoln Laboratory, MIT, Lexington, MA, USA","Purdue University, West Lafayette, IN, USA"],"affiliations":[{"raw_affiliation_string":"Lincoln Laboratory, MIT, Lexington, MA, USA","institution_ids":["https://openalex.org/I4210122954"]},{"raw_affiliation_string":"Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063663404","display_name":"R.L. Kashyap","orcid":"https://orcid.org/0000-0003-4426-6575"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Kashyap","raw_affiliation_strings":["School of Electrical Engineering, Purdue University, West Lafayette, IN, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110238126","display_name":"D. Goodman","orcid":null},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]},{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Goodman","raw_affiliation_strings":["Lawrence Livemore National Laboratory, Livermore, CA, USA","Purdue University, West Lafayette, IN, USA"],"affiliations":[{"raw_affiliation_string":"Lawrence Livemore National Laboratory, Livermore, CA, USA","institution_ids":["https://openalex.org/I1282311441"]},{"raw_affiliation_string":"Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080258907"],"corresponding_institution_ids":["https://openalex.org/I219193219","https://openalex.org/I4210122954"],"apc_list":null,"apc_paid":null,"fwci":1.4196,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80983329,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"7","first_page":"974","last_page":"986"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9965000152587891,"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"}},{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9936000108718872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.6635733246803284},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.6474177837371826},{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.5479032397270203},{"id":"https://openalex.org/keywords/identity-matrix","display_name":"Identity matrix","score":0.5362616777420044},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.48118120431900024},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46171048283576965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4496864378452301},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.441951721906662},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.4261338412761688},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3770022690296173},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33061155676841736},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.20398658514022827}],"concepts":[{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.6635733246803284},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.6474177837371826},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.5479032397270203},{"id":"https://openalex.org/C134567657","wikidata":"https://www.wikidata.org/wiki/Q193794","display_name":"Identity matrix","level":3,"score":0.5362616777420044},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.48118120431900024},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46171048283576965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4496864378452301},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.441951721906662},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.4261338412761688},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3770022690296173},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33061155676841736},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.20398658514022827},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tassp.1987.1165242","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165242","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.7300000190734863}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1506069954","https://openalex.org/W1964262399","https://openalex.org/W1969319602","https://openalex.org/W1990381576","https://openalex.org/W1998846007","https://openalex.org/W2006450592","https://openalex.org/W2009410052","https://openalex.org/W2023070465","https://openalex.org/W2039534817","https://openalex.org/W2045021643","https://openalex.org/W2047028564","https://openalex.org/W2049003095","https://openalex.org/W2053912691","https://openalex.org/W2057350882","https://openalex.org/W2069209006","https://openalex.org/W2098096406","https://openalex.org/W2110287406","https://openalex.org/W2131484793","https://openalex.org/W2149846618","https://openalex.org/W2728496433","https://openalex.org/W3048084713","https://openalex.org/W4244894666","https://openalex.org/W4246048519","https://openalex.org/W4255455317","https://openalex.org/W6740492999"],"related_works":["https://openalex.org/W2139378013","https://openalex.org/W2044900700","https://openalex.org/W2560470131","https://openalex.org/W2049656902","https://openalex.org/W2394404719","https://openalex.org/W2903415888","https://openalex.org/W2731832814","https://openalex.org/W2140267235","https://openalex.org/W1975973603","https://openalex.org/W2073199959"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,13,19,28,51,54,65,69,82,87,91,97,100,111,115,119,125,135,139,145,148,158,171,175],"problem":[4],"of":[5,39,53,64,77,84,114,173],"impulse":[6,40,101,116,176],"response":[7,41,177],"identification":[8,42],"using":[9,85],"nonparametric":[10,180],"methods.":[11],"Although":[12],"techniques":[14],"developed":[15],"herein":[16],"apply":[17],"to":[18,170],"truncated,":[20],"untruncated,":[21],"and":[22,90,164],"circulant":[23],"models,":[24],"we":[25,80,105,129],"focus":[26],"on":[27,50,96,157],"truncated":[29,126],"model":[30],"which":[31,60,141],"is":[32,48,61,71,121,142,161,168],"useful":[33],"in":[34,99,124,144],"certain":[35],"applications.":[36],"Two":[37],"methods":[38],"will":[43],"be":[44],"presented.":[45],"The":[46],"first":[47],"based":[49],"minimization":[52],"C":[55,149],"<inf":[56,150],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[57,151],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">L</inf>":[58,152],"statistic,":[59],"an":[62],"estimate":[63,167],"mean-square":[66],"prediction":[67],"error;":[68],"second":[70],"a":[72,107,131,165,179],"Bayesian.":[73],"approach,":[74],"For":[75],"both":[76,86],"these":[78],"methods,":[79],"consider":[81],"effects":[83],"identity":[88],"matrix":[89,93],"Laplacian":[92],"as":[94],"weights":[95],"energy":[98],"response.":[102,117],"In":[103],"addition,":[104],"present":[106],"method":[108,132],"for":[109,133],"estimating":[110,134,174],"effective":[112],"length":[113,120],"Estimating":[118],"particularly":[122],"important":[123],"case.":[127],"Finally,":[128],"develop":[130],"noise":[136,159],"variance":[137,160],"at":[138],"output":[140],"needed":[143],"approach":[146],"involving":[147],"statistic.":[153],"Often,":[154],"prior":[155],"information":[156],"not":[162],"available,":[163],"good":[166],"crucial":[169],"success":[172],"with":[178],"technique.":[181]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}