{"id":"https://openalex.org/W3196875808","doi":"https://doi.org/10.1109/tcsii.2021.3108582","title":"Quick Access to Circuit Transfer Functions via NAM Determinant/Cofactors Using UaL Technique","display_name":"Quick Access to Circuit Transfer Functions via NAM Determinant/Cofactors Using UaL Technique","publication_year":2021,"publication_date":"2021-09-06","ids":{"openalex":"https://openalex.org/W3196875808","doi":"https://doi.org/10.1109/tcsii.2021.3108582","mag":"3196875808"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2021.3108582","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3108582","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5086004026","display_name":"Reza Hashemian","orcid":"https://orcid.org/0000-0002-0028-7078"},"institutions":[{"id":"https://openalex.org/I102502594","display_name":"Northern Illinois University","ror":"https://ror.org/012wxa772","country_code":"US","type":"education","lineage":["https://openalex.org/I102502594"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Reza Hashemian","raw_affiliation_strings":["Department of Electrical Engineering, Northern Illinois University, DeKalb, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Northern Illinois University, DeKalb, IL, USA","institution_ids":["https://openalex.org/I102502594"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086004026"],"corresponding_institution_ids":["https://openalex.org/I102502594"],"apc_list":null,"apc_paid":null,"fwci":0.1003,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.42958369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"69","issue":"3","first_page":"689","last_page":"693"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":1.0,"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"}},{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/invertible-matrix","display_name":"Invertible matrix","score":0.7940894365310669},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6070877909660339},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5594663619995117},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4706878960132599},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4441748261451721},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4352056682109833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43470901250839233},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36481380462646484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29751598834991455},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2368917167186737},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1801653802394867},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16355645656585693},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.12798956036567688}],"concepts":[{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.7940894365310669},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6070877909660339},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5594663619995117},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4706878960132599},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4441748261451721},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4352056682109833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43470901250839233},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36481380462646484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29751598834991455},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2368917167186737},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1801653802394867},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16355645656585693},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.12798956036567688},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2021.3108582","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3108582","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/W1998894100","https://openalex.org/W2097913753","https://openalex.org/W2139030761","https://openalex.org/W2911892692","https://openalex.org/W2954935454","https://openalex.org/W3089484845","https://openalex.org/W3203011645"],"related_works":["https://openalex.org/W4251428025","https://openalex.org/W2784467519","https://openalex.org/W4289867043","https://openalex.org/W2366459771","https://openalex.org/W1973736094","https://openalex.org/W2350707375","https://openalex.org/W2052575282","https://openalex.org/W1973739845","https://openalex.org/W119752240","https://openalex.org/W2169060258"],"abstract_inverted_index":{"Determinants":[0],"and":[1,24,35,38,47,60,84,95,148],"cofactors":[2,25,49,97],"play":[3],"an":[4,70],"important":[5],"role":[6],"in":[7,116,126,142],"getting":[8],"the":[9,13,28,32,36,87,92,96,102,117,137,144],"circuit":[10,29,130,145],"responses.":[11,149],"Given":[12],"Nodal":[14],"Admittance":[15],"Matrix":[16],"(NAM)":[17],"of":[18,57,139],"a":[19,44,54,58],"linear":[20],"circuit,":[21],"its":[22,48],"determinant":[23,46],"provide":[26],"all":[27],"responses,":[30],"including":[31],"transfer":[33,146],"functions,":[34],"poles":[37],"zeros.":[39],"This":[40],"presentation":[41],"shows":[42],"how":[43],"matrix":[45],"are":[50,98],"simply":[51,99],"obtained":[52],"through":[53],"UaL":[55,66,103,118,140],"decomposition":[56,67,104,141],"NAM":[59],"any":[61],"other":[62],"nonsingular":[63],"matrix.":[64],"The":[65],"procedure":[68],"is":[69,76,112,122,132],"alternative":[71],"to":[72,78],"LU":[73],"factorization":[74],"but":[75],"shown":[77],"be":[79],"simpler,":[80],"computationally":[81],"more":[82],"efficient,":[83],"exact":[85],"within":[86],"data":[88],"size.":[89],"In":[90],"fact,":[91],"determinant,":[93],"partial-determinants,":[94],"constructed":[100],"during":[101],"process":[105],"with":[106],"no":[107,113,123],"extra":[108],"effort":[109],"needed.":[110],"There":[111],"division":[114,124],"involved":[115,125],"process,":[119],"as":[120],"there":[121],"finding":[127,143],"determinants.":[128],"A":[129],"example":[131],"worked":[133],"out":[134],"that":[135],"demonstrates":[136],"application":[138],"functions":[147]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}