{"id":"https://openalex.org/W2149255175","doi":"https://doi.org/10.1109/tcsii.2007.907757","title":"On the Absence of Limit Cycles in State-Space Digital Filters With Minimum $L_{2}$-Sensitivity","display_name":"On the Absence of Limit Cycles in State-Space Digital Filters With Minimum $L_{2}$-Sensitivity","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2149255175","doi":"https://doi.org/10.1109/tcsii.2007.907757","mag":"2149255175"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2007.907757","doi":"https://doi.org/10.1109/tcsii.2007.907757","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2007.907757","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,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://tohoku.repo.nii.ac.jp/record/25503/files/04384449.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109372795","display_name":"Shunsuke Yamaki","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shunsuke Yamaki","raw_affiliation_strings":["Kawamata Laboratory, Department of Electronic Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kawamata Laboratory, Department of Electronic Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111921249","display_name":"Masahide Abe","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masahide Abe","raw_affiliation_strings":["Kawamata Laboratory, Department of Electronic Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kawamata Laboratory, Department of Electronic Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103628614","display_name":"Masayuki Kawamata","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masayuki Kawamata","raw_affiliation_strings":["Kawamata Laboratory, Department of Electronic Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kawamata Laboratory, Department of Electronic Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I201537933"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.0218,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.89747548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":"55","issue":"1","first_page":"46","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.975600004196167,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.975600004196167,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.013100000098347664,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.005200000014156103,"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/limit-cycles","display_name":"limit cycles","score":0.8199999928474426},{"id":"https://openalex.org/keywords/state-space-digital-filters","display_name":"state-space digital filters","score":0.9750000238418579},{"id":"https://openalex.org/keywords/balanced-realization","display_name":"balanced realization","score":0.9179999828338623},{"id":"https://openalex.org/keywords/coordinate-transformation","display_name":"coordinate transformation","score":0.8420000076293945},{"id":"https://openalex.org/keywords/controllability-gramian","display_name":"controllability Gramian","score":0.9700000286102295},{"id":"https://openalex.org/keywords/observability-gramian","display_name":"observability Gramian","score":0.9959999918937683},{"id":"https://openalex.org/keywords/digital-filter-design","display_name":"digital filter design","score":0.6769999861717224}],"concepts":[{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.8634952306747437},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.7403905391693115},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5789494514465332},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.5614975094795227},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5404257774353027},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3962906002998352},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3732125759124756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36360716819763184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32051217555999756},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2574792504310608},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2096480131149292},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1448865532875061},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08503177762031555},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcsii.2007.907757","doi":"https://doi.org/10.1109/tcsii.2007.907757","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2007.907757","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,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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"},{"id":"pmh:oai:irdb.nii.ac.jp:00918:0000470783","doi":null,"is_oa":true,"landing_page_url":"https://tohoku.repo.nii.ac.jp/records/25503","pdf_url":"https://tohoku.repo.nii.ac.jp/record/25503/files/04384449.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Circuits and Systems. II: Express Briefs","raw_type":"journal article"},{"id":"pmh:oai:irdb.nii.ac.jp:00918:0000481864","doi":null,"is_oa":true,"landing_page_url":"https://tohoku.repo.nii.ac.jp/records/52098","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions Circuits and Systems II: Express Briefs","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:00918:0000470783","doi":null,"is_oa":true,"landing_page_url":"https://tohoku.repo.nii.ac.jp/records/25503","pdf_url":"https://tohoku.repo.nii.ac.jp/record/25503/files/04384449.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Circuits and Systems. II: Express Briefs","raw_type":"journal article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2149255175.pdf","grobid_xml":"https://content.openalex.org/works/W2149255175.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1835419497","https://openalex.org/W1970455830","https://openalex.org/W1999374976","https://openalex.org/W2098706412","https://openalex.org/W2100244727","https://openalex.org/W2109278005","https://openalex.org/W2113091003","https://openalex.org/W2153355972","https://openalex.org/W2155559827","https://openalex.org/W2168293086","https://openalex.org/W2170336562","https://openalex.org/W2583598962"],"related_works":["https://openalex.org/W2126050625","https://openalex.org/W2149732584","https://openalex.org/W2598587052","https://openalex.org/W1595664866","https://openalex.org/W2153355972","https://openalex.org/W2588738374","https://openalex.org/W1979990212","https://openalex.org/W2048569614","https://openalex.org/W41996412","https://openalex.org/W1505588330"],"abstract_inverted_index":{"This":[0],"brief":[1],"proposes":[2],"a":[3,52,75,92],"systematic":[4],"approach":[5],"to":[6],"synthesis":[7],"of":[8,51,69,81],"limit":[9,82,99],"cycle":[10],"free":[11],"state-space":[12],"digital":[13],"filters":[14],"with":[15],"minimum":[16,21,43,71,95],"L2-sensitivity.":[17],"We":[18,61],"synthesize":[19],"the":[20,25,38,42,49,64,70,79,94],"L2-sensitivity":[22,44,72,96],"realization":[23,27,40,45,73,97],"adopting":[24],"balanced":[26,39],"as":[28,48],"an":[29,87,106],"initial":[30],"realization.":[31],"The":[32],"coordinate":[33],"transformation":[34],"matrix":[35,56],"which":[36],"transforms":[37],"into":[41],"is":[46],"expressed":[47],"product":[50],"positive":[53],"definite":[54],"symmetric":[55],"and":[57,66],"arbitrary":[58],"orthogonal":[59,89,108],"matrix.":[60,90,109],"show":[62],"that":[63],"controllability":[65],"observability":[67],"Gramians":[68],"satisfy":[74],"sufficient":[76],"condition":[77],"for":[78],"absence":[80],"cycles":[83,100],"when":[84],"we":[85],"select":[86],"appropriate":[88,107],"As":[91],"result,":[93],"without":[98],"can":[101],"be":[102],"synthesized":[103],"by":[104],"selecting":[105]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
