{"id":"https://openalex.org/W1548628387","doi":"https://doi.org/10.5772/25413","title":"Min-Max Design of FIR Digital Filters by Semidefinite Programming","display_name":"Min-Max Design of FIR Digital Filters by Semidefinite Programming","publication_year":2011,"publication_date":"2011-11-23","ids":{"openalex":"https://openalex.org/W1548628387","doi":"https://doi.org/10.5772/25413","mag":"1548628387"},"language":"en","primary_location":{"id":"doi:10.5772/25413","doi":"https://doi.org/10.5772/25413","is_oa":true,"landing_page_url":"https://doi.org/10.5772/25413","pdf_url":"https://www.intechopen.com/citation-pdf-url/24309","source":{"id":"https://openalex.org/S4306463447","display_name":"InTech eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applications of Digital Signal Processing","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2491528583","display_name":"Applications of Digital Signal Processing"},"type":"book-chapter","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.intechopen.com/citation-pdf-url/24309","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009815053","display_name":"Masaaki Nagahara","orcid":"https://orcid.org/0000-0002-8992-2495","observed_orcids":["https://orcid.org/0000-0002-8992-2495"]},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masaaki Nagahara","raw_affiliation_strings":["Kyoto University Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyoto University Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009815053"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":null,"apc_paid":null,"fwci":5.6257,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.95718363,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"193","last_page":"210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9961000084877014,"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":0.9961000084877014,"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":0.0017999999690800905,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/fir-filter-design","display_name":"FIR filter design","score":0.9020000100135803},{"id":"https://openalex.org/keywords/min-max-optimization","display_name":"minimax optimization","score":0.9779999852180481},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"semidefinite programming","score":0.8370000123977661},{"id":"https://openalex.org/keywords/h-infinity-optimization","display_name":"H-infinity optimization","score":0.9470000267028809},{"id":"https://openalex.org/keywords/generalized-kalman-yakubovich-popov-lemma","display_name":"generalized Kalman-Yakubovich-Popov lemma","score":0.8930000066757202},{"id":"https://openalex.org/keywords/inverse-filtering","display_name":"inverse filtering","score":0.597000002861023},{"id":"https://openalex.org/keywords/robust-filter-design","display_name":"robust filter design","score":0.781000018119812},{"id":"https://openalex.org/keywords/state-space-models","display_name":"state-space model","score":0.7829999923706055}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.8738663196563721},{"id":"https://openalex.org/C198386975","wikidata":"https://www.wikidata.org/wiki/Q117785","display_name":"Finite impulse response","level":2,"score":0.6172788143157959},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4504651427268982},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3614237308502197},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30944398045539856},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22605684399604797}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.5772/25413","doi":"https://doi.org/10.5772/25413","is_oa":true,"landing_page_url":"https://doi.org/10.5772/25413","pdf_url":"https://www.intechopen.com/citation-pdf-url/24309","source":{"id":"https://openalex.org/S4306463447","display_name":"InTech eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applications of Digital Signal Processing","raw_type":"book-chapter"},{"id":"pmh:oai:irdb.nii.ac.jp:01221:0000132618","doi":null,"is_oa":true,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/2218e022-b429-4db2-8147-b1bf5bdc6d6a/download","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/2218e022-b429-4db2-8147-b1bf5bdc6d6a/download","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":"Applications of Digital Signal Processing","raw_type":"journal article"},{"id":"pmh:oai:biblioboard.com:74de8ec7-7787-4713-8cb6-76e9684db316","doi":null,"is_oa":true,"landing_page_url":"https://openresearchlibrary.org/viewer/74de8ec7-7787-4713-8cb6-76e9684db316","pdf_url":null,"source":{"id":"https://openalex.org/S4306401131","display_name":"BiblioBoard Library Catalog (Open Research Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MODID-6d55e02e354:IntechOpen","raw_type":"CHAPTER"},{"id":"pmh:oai:intechopen.com:24309","doi":null,"is_oa":true,"landing_page_url":"http://www.intechopen.com/articles/show/title/min-max-design-of-fir-digital-filters-by-semidefinite-programming","pdf_url":null,"source":{"id":"https://openalex.org/S4306401291","display_name":"Contact-less Assessment of In-vivo Body Signals Using Microwave Doppler Radar (InTech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210154139","host_organization_name":"Intech (Slovakia)","host_organization_lineage":["https://openalex.org/I4210154139"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.intechopen.com/download/pdf/pdfs_id/24309","raw_type":"10"},{"id":"pmh:oai:repository.kulib.kyoto-u.ac.jp:2433/171260","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2433/171260","pdf_url":null,"source":{"id":"https://openalex.org/S4306401454","display_name":"Kyoto University Research Information Repository (Kyoto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I22299242","host_organization_name":"Kyoto University","host_organization_lineage":["https://openalex.org/I22299242"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.5772/25413","doi":"https://doi.org/10.5772/25413","is_oa":true,"landing_page_url":"https://doi.org/10.5772/25413","pdf_url":"https://www.intechopen.com/citation-pdf-url/24309","source":{"id":"https://openalex.org/S4306463447","display_name":"InTech eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applications of Digital Signal Processing","raw_type":"book-chapter"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1548628387.pdf","grobid_xml":"https://content.openalex.org/works/W1548628387.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1500134124","https://openalex.org/W1601946411","https://openalex.org/W1624259469","https://openalex.org/W1967073510","https://openalex.org/W2053099131","https://openalex.org/W2077418568","https://openalex.org/W2106688925","https://openalex.org/W2108489060","https://openalex.org/W2154407829","https://openalex.org/W2296319761","https://openalex.org/W2478884216","https://openalex.org/W2536620281","https://openalex.org/W2928176981"],"related_works":["https://openalex.org/W2127203855","https://openalex.org/W2490097590","https://openalex.org/W2126408684","https://openalex.org/W2962817211","https://openalex.org/W4285185777","https://openalex.org/W2018485278","https://openalex.org/W2136093129","https://openalex.org/W2061000690","https://openalex.org/W1557693843","https://openalex.org/W7098139223"],"abstract_inverted_index":{"Robustness":[0],"is":[1,33,62,106,141,284],"a":[2,34,94,108,159,163,273],"fundamental":[3,230],"issue":[4],"in":[5,13,19,67,115,254,272],"signal":[6,117,233],"processing;":[7],"unmodeled":[8],"dynamics":[9],"and":[10,15,22,55,132,144,190,202,243,261,300],"unexpected":[11],"noise":[12],"systems":[14,21],"signals":[16],"are":[17,252,267],"inevitable":[18],"designing":[20],"signals.":[23],"Against":[24],"such":[25],"uncertainties,":[26],"min-max":[27,65,160,263],"optimization,":[28,131,158,177],"or":[29],"worst":[30],"case":[31],"optimization":[32,66,99,161,222,260],"powerful":[35],"tool.":[36],"In":[37,175,224],"this":[38,225],"light,":[39],"we":[40,73,227,278],"propose":[41],"an":[42,75,88,154,200],"efficient":[43],"design":[44,61,74,92,303],"method":[45,114],"of":[46,83,87,156,205,232,237,247,257],"FIR":[47,76,235,245],"(finite":[48],"impulse":[49,240],"response)":[50,241],"digital":[51,58],"filters":[52,242],"for":[53,296],"approximating":[54],"inverting":[56],"given":[57],"filters.":[59,249],"The":[60],"formulated":[63,253],"by":[64,149,220,286],"the":[68,80,84,103,111,129,134,138,178,191,287,297],"frequency":[69,85,165],"domain.":[70],"More":[71],"precisely,":[72],"filter":[77],"which":[78],"minimizes":[79],"maximum":[81],"gain":[82],"response":[86],"error":[89],"system.":[90],"This":[91],"has":[93,167],"direct":[95],"relation":[96],"with":[97],"H\u221e":[98,105,130,139,157,259],"(Francis,":[100],"1987).":[101],"Since":[102],"space":[104],"not":[107],"Hilbert":[109],"space,":[110],"familiar":[112],"projection":[113],"conventional":[116],"processing":[118],"cannot":[119],"be":[120,146,217],"applied.":[121],"However,":[122],"many":[123],"studies":[124],"have":[125],"been":[126,168],"made":[127],"on":[128,162],"nowadays":[133],"optimal":[135],"solution":[136],"to":[137,269],"problem":[140],"deeply":[142],"analysed":[143],"can":[145,216],"easily":[147],"obtained":[148,285],"numerical":[150,206,221],"computation.":[151],"Moreover,":[152],"as":[153],"extension":[155],"finite":[164],"interval":[166],"proposed":[169,298],"recently":[170],"(Iwasaki":[171,195],"&":[172,187,196,211],"Hara,":[173,197],"2005).":[174],"both":[176],"Kalman-Yakubovich-Popov":[179],"(KYP)":[180],"lemma":[181,194],"(Anderson,":[182],"1967;":[183],"Rantzer,":[184],"1996;":[185],"Tuqan":[186],"Vaidyanathan,":[188],"1998)":[189],"generalized":[192,288],"KYP":[193,289],"2005)":[198],"give":[199,293],"easy":[201],"fast":[203],"way":[204],"computation;":[207],"semidefinite":[208,270],"programming":[209,215,271,283],"(Boyd":[210],"Vandenberghe,":[212],"2004).":[213],"Semidefinite":[214,282],"efficiently":[218],"solved":[219],"softwares.":[223],"chapter,":[226],"consider":[228],"two":[229,255],"problems":[231,251,266],"processing:":[234],"approximation":[236],"IIR":[238],"(infinite":[239],"inverse":[244],"filtering":[246],"FIR/IIR":[248],"Each":[250],"types":[256],"optimization:":[258],"finite-frequency":[262],"one.":[264],"These":[265],"reduced":[268],"similar":[274],"way.":[275],"For":[276],"this,":[277],"introduce":[279],"state-space":[280],"representation.":[281],"lemma.":[290],"We":[291],"will":[292,301],"MATLAB":[294],"codes":[295],"design,":[299],"show":[302],"examples.":[304]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2016-06-24T00:00:00"}