{"id":"https://openalex.org/W2507216796","doi":"https://doi.org/10.1109/iscas.2016.7538984","title":"A self-consistent Carleman linearization technique for the large signal analysis of nonlinear circuits","display_name":"A self-consistent Carleman linearization technique for the large signal analysis of nonlinear circuits","publication_year":2016,"publication_date":"2016-05-01","ids":{"openalex":"https://openalex.org/W2507216796","doi":"https://doi.org/10.1109/iscas.2016.7538984","mag":"2507216796"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2016.7538984","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2016.7538984","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-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/A5007568797","display_name":"Harry Weber","orcid":"https://orcid.org/0000-0002-3088-5757"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Harry Weber","raw_affiliation_strings":["Leibniz Universit\u00e4t Hannover, Hanover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Leibniz Universit\u00e4t Hannover, Hanover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058996739","display_name":"Wolfgang Mathis","orcid":"https://orcid.org/0000-0002-7386-2870"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolfgang Mathis","raw_affiliation_strings":["Leibniz Universit\u00e4t Hannover, Hanover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Leibniz Universit\u00e4t Hannover, Hanover, Germany","institution_ids":["https://openalex.org/I114112103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0502,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77203668,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2062","last_page":"2065"},"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":0.9962000250816345,"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":0.9962000250816345,"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/T11449","display_name":"Mechanical and Optical Resonators","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/linearization","display_name":"Linearization","score":0.811042845249176},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7655872106552124},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.6383836269378662},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5275570750236511},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.523209810256958},{"id":"https://openalex.org/keywords/network-analysis","display_name":"Network analysis","score":0.5216629505157471},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5166085362434387},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.49785518646240234},{"id":"https://openalex.org/keywords/volterra-series","display_name":"Volterra series","score":0.4709910750389099},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46007877588272095},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4462778866291046},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.42082226276397705},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39405113458633423},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3031795024871826},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.14847496151924133},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09555402398109436}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.811042845249176},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7655872106552124},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.6383836269378662},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5275570750236511},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.523209810256958},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.5216629505157471},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5166085362434387},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.49785518646240234},{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.4709910750389099},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46007877588272095},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4462778866291046},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.42082226276397705},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39405113458633423},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3031795024871826},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.14847496151924133},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09555402398109436},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2016.7538984","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2016.7538984","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W37887877","https://openalex.org/W592715486","https://openalex.org/W1493192678","https://openalex.org/W1520892678","https://openalex.org/W1606202192","https://openalex.org/W1876646387","https://openalex.org/W2000778604","https://openalex.org/W2005188216","https://openalex.org/W2094133613","https://openalex.org/W2121379647","https://openalex.org/W2313289271","https://openalex.org/W4229885360"],"related_works":["https://openalex.org/W2057635680","https://openalex.org/W2546454710","https://openalex.org/W2108050916","https://openalex.org/W2395105737","https://openalex.org/W2369507325","https://openalex.org/W3208270790","https://openalex.org/W3036803290","https://openalex.org/W1971263836","https://openalex.org/W2769769476","https://openalex.org/W1524385089"],"abstract_inverted_index":{"The":[0],"analysis":[1,42,83],"of":[2,43,49,75,106],"nonlinear":[3,44,47,107],"dynamic":[4],"circuits":[5,45,108],"is":[6,57,72,84,99],"still":[7],"a":[8,80,94,113],"challenging":[9],"subject":[10],"since":[11],"analytic":[12],"solutions":[13],"are":[14,20,37],"rarely":[15],"available.":[16],"Therefore,":[17],"several":[18],"techniques":[19],"suggested":[21],"to":[22],"solve":[23],"the":[24,46,50,67,76,85,103],"corresponding":[25],"circuit":[26],"equations":[27],"approximately":[28],"such":[29],"that":[30],"qualitative":[31],"as":[32,34],"well":[33],"quantitative":[35],"properties":[36],"preserved.":[38],"In":[39,91],"small":[40],"signal":[41,82],"part":[48],"Taylor":[51],"series":[52],"around":[53],"an":[54],"operational":[55],"point":[56],"omitted.":[58],"However,":[59],"this":[60,92],"approach":[61,119],"delivers":[62],"reliable":[63],"approximations":[64],"only":[65],"if":[66],"approximated":[68,111],"linear":[69],"dynamical":[70],"system":[71],"hyperbolic.":[73],"One":[74],"few":[77],"approaches":[78],"for":[79],"large":[81],"widely":[86],"known":[87],"Carleman":[88,96],"linearization":[89,97],"technique.":[90],"contribution,":[93],"self-consistent":[95],"technique":[98],"presented":[100],"where":[101],"even":[102],"asymptotic":[104],"behavior":[105],"can":[109],"be":[110],"in":[112],"suitable":[114],"manner.":[115],"We":[116],"illustrate":[117],"our":[118],"with":[120],"some":[121],"examples":[122],"and":[123],"discuss":[124],"also":[125],"its":[126],"limitations.":[127]},"counts_by_year":[{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}