{"id":"https://openalex.org/W2139615982","doi":"https://doi.org/10.1109/tcad.2010.2092250","title":"System-Oriented Harmonic-Balance Algorithms for Circuit-Level Simulation","display_name":"System-Oriented Harmonic-Balance Algorithms for Circuit-Level Simulation","publication_year":2011,"publication_date":"2011-01-17","ids":{"openalex":"https://openalex.org/W2139615982","doi":"https://doi.org/10.1109/tcad.2010.2092250","mag":"2139615982"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.2010.2092250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2010.2092250","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"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 Computer-Aided Design of Integrated Circuits and Systems","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/A5039269468","display_name":"Vittorio Rizzoli","orcid":null},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Vittorio Rizzoli","raw_affiliation_strings":["Department of Electronics, Computer Science and Systems, University of Bologna, Bologna, Italy","Dept. of Electron., Comput. Sci. & Syst., Univ. of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Computer Science and Systems, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Dept. of Electron., Comput. Sci. & Syst., Univ. of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007555237","display_name":"Diego Masotti","orcid":"https://orcid.org/0000-0001-5340-2781"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Diego Masotti","raw_affiliation_strings":["Department of Electronics, Computer Science and Systems, University of Bologna, Bologna, Italy","Dept. of Electron., Comput. Sci. & Syst., Univ. of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Computer Science and Systems, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Dept. of Electron., Comput. Sci. & Syst., Univ. of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035818327","display_name":"Franco Mastri","orcid":"https://orcid.org/0000-0002-5946-0234"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Franco Mastri","raw_affiliation_strings":["Department of Electrical Engineering, University of Bologna, Bologna, Italy","Dept. of Electr. Eng., Univ. of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Univ. of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109959158","display_name":"Emanuele Montanari","orcid":null},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Emanuele Montanari","raw_affiliation_strings":["Department of Electronics, Computer Science and Systems, University of Bologna, Bologna, Italy","Dept. of Electron., Comput. Sci. & Syst., Univ. of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, Computer Science and Systems, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Dept. of Electron., Comput. Sci. & Syst., Univ. of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":null,"apc_paid":null,"fwci":2.929,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.91655529,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"30","issue":"2","first_page":"256","last_page":"269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10262","display_name":"Microwave Engineering and Waveguides","score":0.9994999766349792,"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/T10262","display_name":"Microwave Engineering and Waveguides","score":0.9994999766349792,"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/T10187","display_name":"Radio Frequency Integrated Circuit Design","score":0.9991999864578247,"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/T11444","display_name":"Electromagnetic Compatibility and Noise Suppression","score":0.9988999962806702,"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/harmonic-balance","display_name":"Harmonic balance","score":0.7755696773529053},{"id":"https://openalex.org/keywords/baseband","display_name":"Baseband","score":0.7154564261436462},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5953407287597656},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5696840882301331},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5678408741950989},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5150749087333679},{"id":"https://openalex.org/keywords/transceiver","display_name":"Transceiver","score":0.5092500448226929},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.5020589828491211},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.48584768176078796},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.4748932421207428},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.4513690173625946},{"id":"https://openalex.org/keywords/radio-frequency","display_name":"Radio frequency","score":0.4506162405014038},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4232668876647949},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.21360599994659424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20095953345298767},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19869327545166016},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.1938076913356781},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12352755665779114}],"concepts":[{"id":"https://openalex.org/C121758426","wikidata":"https://www.wikidata.org/wiki/Q5659248","display_name":"Harmonic balance","level":3,"score":0.7755696773529053},{"id":"https://openalex.org/C65165936","wikidata":"https://www.wikidata.org/wiki/Q575784","display_name":"Baseband","level":3,"score":0.7154564261436462},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5953407287597656},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5696840882301331},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5678408741950989},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5150749087333679},{"id":"https://openalex.org/C7720470","wikidata":"https://www.wikidata.org/wiki/Q954187","display_name":"Transceiver","level":3,"score":0.5092500448226929},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.5020589828491211},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.48584768176078796},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.4748932421207428},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4513690173625946},{"id":"https://openalex.org/C74064498","wikidata":"https://www.wikidata.org/wiki/Q3396184","display_name":"Radio frequency","level":2,"score":0.4506162405014038},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4232668876647949},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.21360599994659424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20095953345298767},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19869327545166016},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.1938076913356781},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12352755665779114},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcad.2010.2092250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2010.2092250","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"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 Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"},{"id":"pmh:oai:cris.unibo.it:11585/110451","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/110451","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W63724778","https://openalex.org/W1873985591","https://openalex.org/W1942777054","https://openalex.org/W1965741090","https://openalex.org/W1984283136","https://openalex.org/W2000216547","https://openalex.org/W2004951603","https://openalex.org/W2022533754","https://openalex.org/W2032458242","https://openalex.org/W2054573636","https://openalex.org/W2064170580","https://openalex.org/W2068484625","https://openalex.org/W2097244433","https://openalex.org/W2105128905","https://openalex.org/W2111963897","https://openalex.org/W2112286074","https://openalex.org/W2118017427","https://openalex.org/W2120062331","https://openalex.org/W2120994749","https://openalex.org/W2122502020","https://openalex.org/W2123208379","https://openalex.org/W2133029208","https://openalex.org/W2140153041","https://openalex.org/W2145320787","https://openalex.org/W2148033303","https://openalex.org/W2149006910","https://openalex.org/W2154915248","https://openalex.org/W2155034014","https://openalex.org/W2156120109","https://openalex.org/W2163608025","https://openalex.org/W2168909268","https://openalex.org/W2172185550","https://openalex.org/W4243145364"],"related_works":["https://openalex.org/W2204547643","https://openalex.org/W1497578837","https://openalex.org/W4294892273","https://openalex.org/W4293208944","https://openalex.org/W2355697382","https://openalex.org/W4249165909","https://openalex.org/W2783437851","https://openalex.org/W2622425222","https://openalex.org/W1799839793","https://openalex.org/W4253176004"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"a":[3,36,63,87,107],"self-consistent":[4],"set":[5,73,128],"of":[6,20,24,35,39,74,94,109,129,138],"modern":[7],"computational":[8],"concepts":[9],"providing":[10,123],"an":[11,135],"effective":[12,136],"approach":[13],"to":[14,80,86,106,134],"the":[15,33,52,72,92,119,132],"circuit-level":[16],"harmonic-balance":[17],"(HB)":[18],"simulation":[19,98],"nonlinear":[21,40],"microwave":[22],"systems":[23],"complex":[25],"topology.":[26],"The":[27,45],"system":[28],"is":[29,48,59,104],"automatically":[30],"split":[31],"into":[32],"interconnection":[34],"near-optimal":[37],"number":[38,93],"blocks":[41],"at":[42],"run":[43],"time.":[44],"resulting":[46],"structure":[47],"then":[49],"exploited":[50],"by":[51,66],"domain-partitioning":[53],"concept.":[54],"A":[55],"block-wise":[56],"constant":[57],"spectrum":[58,65],"used":[60],"rather":[61],"than":[62],"common":[64],"considering":[67],"for":[68],"each":[69],"block":[70],"only":[71],"spectral":[75],"lines":[76],"that":[77,114],"are":[78,115],"relevant":[79],"its":[81],"electrical":[82],"function,":[83],"which":[84],"leads":[85],"very":[88],"significant":[89],"reduction":[90],"in":[91],"problem":[95],"unknowns.":[96],"System":[97],"under":[99],"digitally":[100],"modulated":[101],"RF":[102,139],"drive":[103],"reduced":[105],"sequence":[108],"modified":[110],"multitone":[111],"HB":[112],"analyses":[113],"backward":[116],"coupled":[117],"through":[118],"envelope":[120],"dynamics.":[121],"Besides":[122],"high":[124],"numerical":[125],"efficiency,":[126],"this":[127],"techniques":[130],"opens":[131],"way":[133],"co-simulation":[137],"and":[140],"baseband":[141],"transceiver":[142],"sections.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
