{"id":"https://openalex.org/W2060223434","doi":"https://doi.org/10.1109/isqed.2014.6783369","title":"Constructing small-signal equivalent impedances using ellipsoidal norms","display_name":"Constructing small-signal equivalent impedances using ellipsoidal norms","publication_year":2014,"publication_date":"2014-03-01","ids":{"openalex":"https://openalex.org/W2060223434","doi":"https://doi.org/10.1109/isqed.2014.6783369","mag":"2060223434"},"language":"en","primary_location":{"id":"doi:10.1109/isqed.2014.6783369","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isqed.2014.6783369","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fifteenth International Symposium on Quality Electronic Design","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/A5110002465","display_name":"Sandeep Koranne","orcid":null},"institutions":[{"id":"https://openalex.org/I105695857","display_name":"Siemens (Hungary)","ror":"https://ror.org/01rk7mv85","country_code":"HU","type":"company","lineage":["https://openalex.org/I105695857","https://openalex.org/I1325886976"]},{"id":"https://openalex.org/I4210156212","display_name":"Mentor Technologies","ror":"https://ror.org/05vewsj04","country_code":"US","type":"other","lineage":["https://openalex.org/I4210156212"]}],"countries":["HU","US"],"is_corresponding":true,"raw_author_name":"Sandeep Koranne","raw_affiliation_strings":["Mentor Graphics Corporation, Wilsonville, OR","Mentor Graphics Corp. Wilsonville, OR, USA"],"affiliations":[{"raw_affiliation_string":"Mentor Graphics Corporation, Wilsonville, OR","institution_ids":["https://openalex.org/I4210156212"]},{"raw_affiliation_string":"Mentor Graphics Corp. Wilsonville, OR, USA","institution_ids":["https://openalex.org/I105695857"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110002465"],"corresponding_institution_ids":["https://openalex.org/I105695857","https://openalex.org/I4210156212"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10614621,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":null,"first_page":"510","last_page":"516"},"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":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"}},"topics":[{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","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/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":0.9991999864578247,"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/node","display_name":"Node (physics)","score":0.7022140622138977},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5743553638458252},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5500400066375732},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5489268898963928},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5065888166427612},{"id":"https://openalex.org/keywords/equivalent-circuit","display_name":"Equivalent circuit","score":0.46468427777290344},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.46429261565208435},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.43611446022987366},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.435024231672287},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.4294062554836273},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25102144479751587},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.17277073860168457},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14236736297607422},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14202815294265747},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12388685345649719},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.0971176028251648}],"concepts":[{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.7022140622138977},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5743553638458252},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5500400066375732},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5489268898963928},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5065888166427612},{"id":"https://openalex.org/C23572009","wikidata":"https://www.wikidata.org/wiki/Q964981","display_name":"Equivalent circuit","level":3,"score":0.46468427777290344},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.46429261565208435},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.43611446022987366},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.435024231672287},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.4294062554836273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25102144479751587},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.17277073860168457},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14236736297607422},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14202815294265747},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12388685345649719},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0971176028251648},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isqed.2014.6783369","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isqed.2014.6783369","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fifteenth International Symposium on Quality Electronic Design","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6899999976158142,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W42106223","https://openalex.org/W1916091028","https://openalex.org/W1976842306","https://openalex.org/W1983193888","https://openalex.org/W2053171205","https://openalex.org/W2083625763","https://openalex.org/W2096235237","https://openalex.org/W2099647435","https://openalex.org/W2115344715","https://openalex.org/W2118469889","https://openalex.org/W2950755820","https://openalex.org/W3150812176","https://openalex.org/W4237496336","https://openalex.org/W4238320324","https://openalex.org/W6640129109"],"related_works":["https://openalex.org/W2390718407","https://openalex.org/W2005485125","https://openalex.org/W2085363807","https://openalex.org/W2034124193","https://openalex.org/W2379017606","https://openalex.org/W2156319555","https://openalex.org/W2941765012","https://openalex.org/W2171970890","https://openalex.org/W323147296","https://openalex.org/W2356423988"],"abstract_inverted_index":{"Analysis":[0],"of":[1,10,44,46,49,73,116,184,212,226],"VLSI":[2,41],"designs":[3,42],"and":[4,37,56,147,149,251],"circuits":[5,247],"often":[6],"requires":[7,61],"the":[8,71,74,107,117,141,153,223],"construction":[9],"a":[11,79,88,102,178],"small-signal":[12],"equivalent":[13,142],"impedance":[14,143,211],"representation":[15],"between":[16,144],"prescribed":[17],"node":[18,157,214],"pairs.":[19],"Examples":[20],"include":[21],"IR-drop":[22],"calculation,":[23],"electrical":[24],"overstress":[25],"verification,":[26],"ESD":[27],"protection,":[28],"di/dt":[29],"current":[30],"rush":[31],"analysis,":[32],"electro-migration":[33],"checks,":[34],"thermal":[35],"analysis":[36,85],"model":[38],"order":[39],"reduction.":[40],"consisting":[43],"hundreds":[45],"millions":[47],"(10e11)":[48],"linear":[50],"circuit":[51,80],"elements":[52,72],"are":[53,163],"now":[54],"commonplace":[55],"thus":[57],"any":[58],"method":[59,183,193,243],"which":[60,100,160,209],"compute":[62,166,203],"intensive":[63,167],"calculations":[64],"is":[65,140,165,189],"difficult":[66],"to":[67,95,202],"apply":[68],"for":[69,113,159,245],"all":[70,98,156,213],"circuit.":[75],"By":[76],"definition,":[77],"given":[78],"with":[81],"n":[82],"elements,":[83],"conventional":[84],"techniques":[86,197],"have":[87],"\u03a9(\u03b7":[89],"<sup":[90],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[91,127,136],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[92],")":[93],"lower-bound":[94],"exhaustively":[96],"enumerate":[97],"node-pairs":[99,151],"meet":[101,152],"constraint":[103],"criteria.":[104],"We":[105],"present":[106],"first":[108],"0(nlgn":[109],"+":[110],"k)":[111],"algorithm":[112],"answering":[114],"queries":[115,234],"form:":[118],"\u2203(x,":[119],"y):((x,":[120],"y)":[121,130,139],"\u03f5":[122],"\u00d7":[123],"n)":[124],"\u2227(Z":[125],"<sub":[126,135],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">eff</sub>":[128,137],"(x,":[129,138],"<;":[131],"Z)":[132],"where":[133],"Z":[134],"nodes":[145],"x":[146],"y,":[148],"k":[150],"constraint.":[154],"Calculating":[155],"pairs":[158,215],"these":[161],"constraints":[162],"met":[164],"using":[168,172,186],"existing":[169],"techniques,":[170],"even":[171],"heuristic":[173],"methods.":[174],"In":[175],"this":[176],"paper":[177],"new":[179],"technique":[180],"based":[181],"on":[182],"projection":[185],"ellipsoidal":[187],"norms":[188],"presented.":[190],"Our":[191],"proposed":[192],"employs":[194],"recently":[195],"discovered":[196],"from":[198,208],"theoretical":[199],"computer":[200],"science":[201],"an":[204],"e-approximate":[205],"embedding":[206],"matrix":[207],"effective":[210],"can":[216,235],"be":[217,237],"estimated":[218],"as":[219,221],"easily":[220],"taking":[222],"Euclidean":[224],"norm":[225],"column":[227],"differences.":[228],"Using":[229],"computational":[230],"geometry":[231],"methods,":[232],"existence":[233],"then":[236],"answered":[238],"in":[239],"logarithmic":[240],"time.":[241],"The":[242],"works":[244],"general":[246],"containing":[248],"resistances,":[249],"capacitances,":[250],"inductances.":[252]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
