{"id":"https://openalex.org/W1835419497","doi":"https://doi.org/10.1109/iscas.2006.1693810","title":"A Closed Form Solution to L&gt;inf&lt;2&gt;/inf&lt;-Sensitivity Minimization of Second-Order State-Space Digital Filters","display_name":"A Closed Form Solution to L&gt;inf&lt;2&gt;/inf&lt;-Sensitivity Minimization of Second-Order State-Space Digital Filters","publication_year":2006,"publication_date":"2006-09-22","ids":{"openalex":"https://openalex.org/W1835419497","doi":"https://doi.org/10.1109/iscas.2006.1693810","mag":"1835419497"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2006.1693810","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2006.1693810","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Symposium on Circuits and Systems","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/A5109207061","display_name":"Sachiko Yamaki","orcid":null},"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":true,"raw_author_name":"S. Yamaki","raw_affiliation_strings":["Department of Electrical Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan","Dept. of Electr. Eng., Tohoku Univ., Sendai, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Tohoku Univ., Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089703045","display_name":"Minori Abe","orcid":"https://orcid.org/0000-0001-7420-9454"},"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":"M. Abe","raw_affiliation_strings":["Department of Electrical Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan","Dept. of Electr. Eng., Tohoku Univ., Sendai, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Tohoku Univ., Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017837826","display_name":"Masaki Kawamata","orcid":"https://orcid.org/0000-0002-2607-9672"},"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":"M. Kawamata","raw_affiliation_strings":["Department of Electrical Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan","Dept. of Electr. Eng., Tohoku Univ., Sendai, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Graduate School of Engineering, University of Tohoku, Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Tohoku Univ., Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109207061"],"corresponding_institution_ids":["https://openalex.org/I201537933"],"apc_list":null,"apc_paid":null,"fwci":1.9082,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84509672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"5223","last_page":"5226"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9995999932289124,"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":0.9995999932289124,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6790961623191833},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.6291847229003906},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5109018683433533},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4255698025226593},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.41077661514282227},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32921481132507324},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2909438908100128},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.22789344191551208},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05930894613265991}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6790961623191833},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.6291847229003906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5109018683433533},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4255698025226593},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41077661514282227},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32921481132507324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2909438908100128},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.22789344191551208},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05930894613265991},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2006.1693810","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2006.1693810","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W124815405","https://openalex.org/W1505588330","https://openalex.org/W1518096517","https://openalex.org/W1970455830","https://openalex.org/W2011216539","https://openalex.org/W2098706412","https://openalex.org/W2113091003","https://openalex.org/W2125201600","https://openalex.org/W2126793638","https://openalex.org/W2130287366","https://openalex.org/W2148318712"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2544423928","https://openalex.org/W2052122378","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2378757965","https://openalex.org/W2989452537"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,44,57,64],"closed":[4,78],"form":[5,79],"solution":[6,62],"to":[7,21,59,63],"L":[8,33,46],"<sub":[9,34,47],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,35,48],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[11,36,49],"-sensitivity":[12,37,50],"minimization":[13,38,51],"of":[14,26,69],"second-order":[15],"state-space":[16,27],"digital":[17,28],"filters.":[18],"Restricting":[19],"ourselves":[20],"the":[22,61],"2nd":[23],"order":[24],"case":[25],"filters,":[29],"we":[30],"can":[31,53,73],"formulate":[32],"problem":[39,52,58],"by":[40],"hyperbolic":[41],"functions.":[42],"As":[43],"result,":[45],"be":[54,74],"converted":[55],"into":[56],"find":[60],"4th":[65],"degree":[66],"polynomial":[67],"equation":[68],"constant":[70],"coefficients,":[71],"which":[72],"algebraically":[75],"solved":[76],"in":[77],"without":[80],"iterative":[81],"calculations":[82]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}